A. R. Bishop

Comment on: Role of inelastic tunneling through the insulating barrier in scanning-tunneling-microscope experiments on cuprate superconductors (2006)

We have applied the transformation of the slow light equations to Liouville theory that we developed in our previous work, to study the influence of relaxation on the soliton dynamics. We solved the...

Bishop, A. R., Conradson, S. D., Bussmann-Holder, A., Dolgov, O., Keller, H., Khasanov, R., ...

In a recent letter [1] Pilgram, Rice and Sigrist (PRS) propose to perform oxygen isotope dependent conductivity measurements along the c-axis of the cuprate superconductor BSSCO. In Raman isotope...

Classical Propagation of Light in Spatio-Temporal Periodic Media (2006)

Alexandrov, B. S., Rasmussen, K. O., Findikoglu, A. T., Bishop, A. R., Kostadinov, I. Z.

We analyze the propagation of electromagnetic waves in media where the dielectric constants undergo rapid temporal periodic modulation. Both spatially homogeneous and periodic media are studied. Fast...

Coexistence of polar order and local domain dynamics in ferroelectric SrTi18O3 (2006)

Bussmann-Holder, A., Buettner, H., Bishop, A. R.

Perovskite oxide ferroelectrics show classical soft mode behaviour typical for the onset of a homogeneous long-range polar state and a displacive phase transition. Besides these long wave length...

Real and marginal isotope effects in cuprate superconductors (2006)

Bishop, A. R., Bussmann-Holder, A., Dolgov, O. V., Furrer, A., Kamimura, H., Keller, H., ...

We critically review recent and earlier results on isotope effects in cuprate superconductors and emphasize that the sample preparation and the isotope exchange and back exchange are crucial in...

Optimization of soliton ratchets in inhomogeneous sine-Gordon systems (2006)

Mertens, F. G., Morales-Molina, L., Bishop, A. R., Sánchez, A., Müller, P.

Unidirectional motion of solitons can take place, although the applied force has zero average in time, when the spatial symmetry is broken by introducing a potential $V(x)$, which consists of...

Slow-light solitons revisited (2006)

Structure and Fragmentation in Colloidal Artificial Molecules and Nuclei (2006)

We investigate propagation of slow-light solitons in atomic media described by the nonlinear $\Lambda$-model. Under a physical assumption, appropriate to the slow light propagation, we reduce the...

Reichhardt, C. J. Olson, Reichhardt, C., Bishop, A. R.

Motivated by recent experiments on colloidal systems with competing attractive and repulsive interactions, we simulate a two-dimensional system of colloids with competing interactions that can...

Discrete Breathers in Two-Dimensional Anisotropic Nonlinear Schrodinger lattices (2006)

Gomez-Gardenes, J., Floria, L. M., Bishop, A. R.

We study the structure and stability of discrete breathers (both pinned and mobile) in two-dimensional nonlinear anisotropic Schrodinger lattices. Starting from a set of identical one-dimensional...

Non-Linear Beam Splitter in Bose-Einstein Condensate Interferometers (2006)

Pezze', L., Smerzi, A., Berman, G. P., Bishop, A. R., Collins, L. A.

A beam splitter is an important component of an atomic/optical Mach-Zehnder interferometer. Here we study a Bose Einstein Condensate beam splitter, realized with a double well potential of tunable...

Discrete Solitons in the Salerno Model with competing nonlinearities (2006)

Gomez-Gardenes, J., Malomed, B. A., Floria, L. M., Bishop, A. R.

We consider a lattice equation (Salerno model) combining onsite self-focusing and intersite self-defocusing cubic terms, which may describe a Bose-Einstein condensate of dipolar atoms trapped in a...

Statics and Dynamics of an Inhomogeneously-Nonlinear Lattice (2006)

Machacek, Debra L., Foreman, Elizabeth A., Hoq, Q. E., Kevrekidis, P. G., Saxena, A., Frantzeskakis, D. J., ...

We introduce an inhomogeneously-nonlinear Schr{\"o}dinger lattice, featuring a defocusing segment, a focusing segment and a transitional interface between the two. We illustrate that such...

Spectral signatures of the Luttinger liquid to charge-density-wave transition (2006)

Hohenadler, M., Wellein, G., Bishop, A. R., Alvermann, A., Fehske, H.

Electron- and phonon spectral functions of the one-dimensional, spinless-fermion Holstein model at half filling are calculated in the four distinct regimes of the phase diagram, corresponding to an...

Bubble Statistics and Dynamics in Double-Stranded DNA (2006)

Alexandrov, B. S., Wille, L. T., Rasmussen, K. O., Bishop, A. R., Blagoev, K. B.

The dynamical properties of double-stranded DNA are studied in the framework of the Peyrard-Bishop-Dauxois model using Langevin dynamics. Our simulations are analyzed in terms of two probability...

Pinning frequencies of the collective modes in $\alpha$-uranium (2006)

Mihaila, B., Opeil, C. P., Drymiotis, F. R., Smith, J. L., Cooley, J. C., Manley, M. E., ...

Uranium is the only known element that features a charge-density wave (CDW) and superconductivity. We report a comparison of the specific heat of single-crystal and polycrystalline $\alpha$-uranium....

Healing Length and Bubble Formation in DNA (2006)

Rapti, Z., Smerzi, A., Rasmussen, K. O., Bishop, A. R., Choi, C. H., Usheva, A.

We have recently suggested that the probability for the formation of thermally activated DNA bubbles is, to a very good approximation, proportional to the number of soft AT pairs over a length L(n)...

Comment on "Can one predict DNA transcription start sites by studying bubbles?" (2006)

Choi, C.H., Usheva, A., Kalosakas, G., Rasmussen, K.Ø, Bishop, A.R.

Non-exponential decay of base-pair opening fluctuations in DNA (2006)

Kalosakas, G., Rasmussen, K.Ø, Bishop, A.R.

Exotic pairing instability in heavy fermion superconductor CeCoIn5 (2006)

Bussmann-Holder, A., Simon, A., Bishop, A. R.

Optimization of soliton ratchets in inhomogeneous sine-Gordon systems (2006)

Mertens, F.G., Morales-Molina, L., Bishop, A.R., Sánchez, A., Müller, P.

Intrinsic inhomogeneity as origin of incomplete ferroelectricity (2006)

Incomplete ferroelectricity in SrTi18O3 (2006)

Strontium titanate is an incipient ferroelectric where the freezing of the soft polar mode is inhibited by quantum fluctuations (MULLER. K. A. and BURHARD H., Phys. Rev. B, 19 (1979) 3593)....

Polarobreathers in soft potentials (2005)

Motivated by recent experiments demonstrating suppression of ferroelectricity with pressure in (SrTiO3)-O-18, the dynamics of the phase transition mechanism are reinvestigated within a nonlinear...

Cuevas, J., Kevrekidis, P. G., Frantzeskakis, D. J., Bishop, A. R.

We consider polarons in models of coupled electronic and vibrational degrees of freedom, in the presence of a soft nonlinear inter-particle potential (Morse potential). In particular, we focus on a a...

Probing the mechanical unzipping of DNA (2005)

Voulgarakis, N. K., Redondo, A., Bishop, A. R., Rasmussen, K. O.

A study of the micromechanical unzipping of DNA in the framework of the Peyrard-Bishop-Dauxois model is presented. We introduce a Monte Carlo technique that allows accurate determination of the...

Comment on "Can one predict DNA Transcription Start Sites by Studying Bubbles?" (2005)

Choi, C. H., Usheva, A., Kalosakas, G., Rasmussen, K. O., Bishop, A. R.

Comment on T.S. van Erp, S. Cuesta-Lopez, J.-G. Hagmann, and M. Peyrard, Phys. Rev. Lett. 95, 218104 (2005) [arXiv: physics/0508094].

Lengthscales and Cooperativity in DNA Bubble Formation (2005)

Rapti, Z., Smerzi, A., Rasmussen, K. \O., Bishop, A. R.

It appears that thermally activated DNA bubbles of different sizes play central roles in important genetic processes. Here we show that the probability for the formation of such bubbles is regulated...

Fractionally Charged Polarons and Phase Separation in an Extended Falicov-Kimball Model (2005)

Brydon, P. M. R., Bishop, A. R.

We present the first numerical study of the Falicov-Kimball model extended by an on-site hybridization away from the particle-hole symmetry point. Stable polaronic distortions of the charge-density...

Oscillating elastic defects: competition and frustration (2005)

Barre', J., Bishop, A. R., Lookman, T., Saxena, A.

We consider a dynamical generalization of the Eshelby problem: the strain profile due to an inclusion or "defect" in an isotropic elastic medium. We show that the higher the oscillation frequency of...

Sub Shot-Noise Phase Sensitivity with a Bose-Einstein Condensate Mach-Zehnder Interferometer (2005)

Pezze', L., Berman, G. P., Bishop, A. R.

Bose Einstein Condensates, with their coherence properties, have attracted wide interest for their possible application to ultra precise interferometry and ultra weak force sensors. Since...

ac conductivity in a DNA charge transport model (2005)

Maniadis,P., Kalosakas,G., Rasmussen,K. Ø, Bishop,A. R.

Asymptotic Calculation of Discrete Nonlinear Wave Interactions (2005)

Kevrekidis, P. G., Khare, Avinash, Saxena, A., Bena, I., Bishop, A. R.

We illustrate how to compute asymptotic interactions between discrete solitary waves of dispersive equations, using the approach proposed by Manton [Nucl. Phys. B 150, 397 (1979)]. We also discuss...

Discrete Solitons and Vortices on Anisotropic Lattices (2005)

Kevrekidis, P. G., Frantzeskakis, D. J., Carretero-Gonzalez, R., Malomed, B. A., Bishop, A. R.

We consider effects of anisotropy on solitons of various types in two-dimensional nonlinear lattices, using the discrete nonlinear Schr{\"{o}}dinger equation as a paradigm model. For fundamental...

Pressure-induced phase transition and bi-polaronic sliding in a hole-doped Cu_2O_3 ladder system (2005)

Kaneshita, E., Martin, I., Bishop, A. R.

We study a hole-doped two-leg ladder system including metal ions, oxygen, and electron-lattice interaction, as a model for Sr_{14-x}Ca_xCu_{24}O_{41-\delta}. Single- and bi-polaronic states at...

Competing Orderings in an Extended Falicov-Kimball Model (2005)

Brydon, P. M. R., Zhu, Jian-Xin, Gulacsi, M., Bishop, A. R.

We present a Hartree-Fock study of the Falicov-Kimball model extended by both on-site and non-local hybridization. We examine the interplay between excitonic effects and the charge-density wave (CDW)...

Optical response of many-polaron systems (2005)

Wellein, G., Bishop, A. R., Hohenadler, M., Schubert, G., Fehske, H.

Exact results for the density of states and the ac conductivity of the spinless Holstein model at finite carrier density are obtained combining Lanczos and kernel polynomial methods.

Theory of slow-light solitons (2005)

Hysteresis and Noise in Stripe and Clump Forming Systems (2005)

In the framework of the nonlinear $\Lambda$-model we investigate propagation of solitons in atomic vapors and Bose-Einstein condensates. We show how the complicated nonlinear interplay between fast...

Reichhardt, C., Reichhardt, C. J. Olson, Bishop, A. R.

We use simulations to examine hysteresis and noise in a model system that produces heterogeneous orderings including stripe and clump phases. In the presence of a disordered substrate, these...

Dynamics of trapped bright solitons in the presence of localized inhomogeneities (2005)

Herring, G., Kevrekidis, P. G., Carretero-Gonzalez, R., Malomed, B. A., Frantzeskakis, D. J., Bishop, A. R.

We examine the dynamics of a bright solitary wave in the presence of a repulsive or attractive localized ``impurity'' in Bose-Einstein condensates (BECs). We study the generation and stability of a...

Electronic polarons in an extended Falicov-Kimball model (2005)

Brydon, P. M. R., Gulacsi, M., Bishop, A. R.

We examine the one-dimensional spinless Falicov-Kimball model extended by a hybridization potential between the localized and itinerant electron states. Below half-filling we find a crossover from a...

Statics, Dynamics and Manipulations of Bright Matter-Wave Solitons in Optical Lattices (2005)

Kevrekidis, P. G., Frantzeskakis, D. J., Carretero-Gonzalez, R., Malomed, B. A., Herring, G., Bishop, A. R.

Motivated by recent experimental achievement in the work with Bose-Einstein condensates (BECs), we consider bright matter-wave solitons, in the presence of a parabolic magnetic trap and a spatially...

Spin and lattice effects in the Kondo lattice model (2005)

Relaxor ferroelectrics and intrinsic inhomogeneity (2005)

Bussmann-Holder, A., Bishop, A. R., Egami, T.

Unconventional isotope effects as evidence for polaron formation in cuprates (2005)

Bussmann-Holder, A., Keller, H., Bishop, A. R., Simon, A., Micnas, R., Müller, K. A.

ac conductivity in a DNA charge transport model (2005)

Maniadis, P., Kalosakas, G., Rasmussen, K. Ø, Bishop, A. R.

Nondissipative diffusion of lattice solitons out of thermal equilibrium (2005)

Mertens, F. G., Arévalo, E., Bishop, A. R.

Theory of Bubble Nucleation and Cooperativity in DNA Melting (2004)

Ares, S., Voulgarakis, N. K., Rasmussen, K. O., Bishop, A. R.

The onset of intermediate states (denaturation bubbles) and their role during the melting transition of DNA are studied using the Peyrard-Bishop-Daxuois model by Monte Carlo simulations with no...

A Rich Example of Geometrically Induced Nonlinearity: From Rotobreathers and Kinks to Moving Localized Modes and Resonant Energy Transfer (2004)

Kevrekidis, P. G., Dmitriev, S. V., Takeno, S., Bishop, A. R., Aifantis, E. C.

We present an experimentally realizable, simple mechanical system with linear interactions whose geometric nature leads to nontrivial, nonlinear dynamical equations. The equations of motion are...

Nonlinear Lattices Generated from Harmonic Lattices with Geometric Constraints (2004)

Takeno, S., Dmitriev, S. V., Kevrekidis, P. G., Bishop, A. R.

Geometrical constraints imposed on higher dimensional harmonic lattices generally lead to nonlinear dynamical lattice models. Helical lattices obtained by such a procedure are shown to be described...

Driving the slow-light soliton by controlling laser field (2004)

Dephasing and breakdown of adiabaticity in the splitting of Bose Einstein Condensates (2004)

In the framework of the nonlinear $\Lambda$-model we investigate propagation of a slow-light soliton in atomic vapors and Bose-Einstein condensates. The velocity of the slow-light soliton is...

Pezze, L., Smerzi, A., Berman, G. P., Bishop, A. R., Collins, L. A.

We study the quantum dynamics of a BEC condensate trapped in a double-well potential with a rising interwell barrier. We analytically find the characteristic time scales of the splitting process and...

An exact solution of the slow-light problem (2004)

Manipulation of optical memory bits in atomic vapors and Bose-Einstein condensates (2004)

We investigate propagation of a slow-light soliton in atomic vapors and Bose-Einstein condensates described by the nonlinear Lambda-model. We show that the group velocity of the soliton monotonically...

Vadeiko, I. P., Rybin, A. V., Bishop, A. R.

We provide an exact analytic description of decelerating, stopping and re-accelerating optical solitons in atomic media. By virtue of this solution we describe in detail how spatially localized...

Nonintegrable Schrodinger Discrete Breathers (2004)

Gomez-Gardenes, J., Floria, L. M., Peyrard, M., Bishop, A. R.

In an extensive numerical investigation of nonintegrable translational motion of discrete breathers in nonlinear Schrodinger lattices, we have used a regularized Newton algorithm to continue these...

Sequence-specific thermal fluctuations identify start sites for DNA transcription (2004)

Kalosakas,G., Rasmussen,K. O., Bishop,A. R., Choi,C. H., Usheva,A.

Localization of nonlinear excitations in curved waveguides (2004)

Gaididei, Yu. B., Christiansen, P. L., Kevrekidis, P. G., Buttner, H., Bishop, A. R.

Motivated by the example of a curved waveguide embedded in a photonic crystal, we examine the effects of geometry in a ``quantum channel'' of parabolic form. We study the linear case and derive exact...

Modulational Instabilities and Domain Walls in Coupled Discrete Nonlinear Schr\"odinger Equations (2004)

Rapti, Z., Trombettoni, A., Kevrekidis, P. G., Frantzeskakis, D. J., Malomed, Boris A., Bishop, A. R.

We consider a system of two discrete nonlinear Schr\"{o}dinger equations, coupled by nonlinear and linear terms. For various physically relevant cases, we derive a modulational instability criterion...

On adaptability and "intermediate phase" in randomly connected networks (2004)

Barre', J., Bishop, A. R., Lookman, T., Saxena, A.

We present a simple model that enables us to analytically characterize a floppy to rigid transition and an associated self-adaptive intermediate phase in a random bond network. In this intermediate...

Quantum logic operations and creation of entanglement in a scalable superconducting quantum computer with long-range constant interaction between qubits (2004)

Berman, G. P., Bishop, A. R., Kamenev, D. I., Trombettoni, A.

We consider a one-dimensional chain of many superconducting quantum interference devices (SQUIDs), serving as charge qubits. Each SQUID is coupled to its nearest neighbors through constant...

Detecting Breather Excitations with Inelastic Tunneling Spectroscopy (2004)

Zhu, Jian-Xin, Rasmussen, K. O., Bishop, A. R., Balatsky, A. V.

We propose inelastic electron tunneling spectroscopy scanning tunneling microscopy (IETS-STM) as a means of exciting and observing intrinsic localized modes (breathers) in a macromolecule. As a...

Domain Walls of Single-Component Bose-Einstein Condensates in External Potentials (2004)

Kevrekidis, P. G., Malomed, B. A., Frantzeskakis, D. J., Bishop, A. R., Nistazakis, H. E., Carretero-González, R.

We demonstrate the possibility of creating domain walls described by a single component Gross-Pitaevskii equation with attractive interaction, in the presence of an optical-lattice potential. While...

Luttinger liquid versus charge density wave behaviour in the one-dimensional spinless fermion Holstein model (2004)

Fehske, H., Wellein, G., Hager, G., Weisse, A., Becker, K. W., Bishop, A. R.

We discuss the nature of the different ground states of the half-filled Holstein model of spinless fermions in 1D. In the metallic regime we determine the renormalised effective coupling constant and...

Persistent spin currents induced by a spatially-dependent magnetic field in a spin-1/2 Heisenberg antiferromagnetic ring (2004)

Schmeltzer, D., Saxena, A., Bishop, A. R., Smith, D. L.

We show that a spatially-dependent magnetic field can induce a persistent spin current in a spin-1/2 Heisenberg antiferromagnetic ring, proportional to the solid angle subtended by the magnetic field...

Variational Approach to the Modulational Instability (2004)

Rapti, Z., Kevrekidis, P. G., Smerzi, A., Bishop, A. R.

We study the modulational stability of the nonlinear Schr\"odinger equation (NLS) using a time-dependent variational approach. Within this framework, we derive ordinary differential equations (ODEs)...

Modulational and Parametric Instabilities of the Discrete Nonlinear Schr\"odinger Equation (2004)

Rapti, Z., Kevrekidis, P. G., Smerzi, A., Bishop, A. R.

We examine the modulational and parametric instabilities arising in a non-autonomous, discrete nonlinear Schr{\"o}dinger equation setting. The principal motivation for our study stems from the...

Double-Slit Interferometry with a Bose-Einstein Condensate (2004)

Collins, L. A., Pezze', L., Smerzi, A., Berman, G. P., Bishop, A. R.

A Bose-Einstein "double-slit" interferometer has been recently realized experimentally by (Y. Shin et. al., Phys. Rev. Lett. 92 50405 (2004)). We analyze the interferometric steps by solving...

Non-equilibrium Mott transition in a lattice of Bose-Einstein condensates (2004)

Dziarmaga, J., Smerzi, A., Zurek, W. H., Bishop, A. R.

We study the non-equilibrium dynamics of the zero temperature Mott insulator- superfluid quantum phase transition in a lattice of weakly coupled Bose-Einstein condensates. We show that crossing the...

Vibrational edge modes in intrinsically heterogeneous doped transition metal oxides (2004)

Martin, I., Kaneshita, E., McQueeney, R. J., Yu, Z. G., Bishop, A. R.

By applying an unrestricted Hartree-Fock and a Random Phase approximations to a multiband Peierls-Hubbard Hamiltonian, we study the phonon mode structure in models of transition metal oxides in the...

Spin and lattice effects in the Kondo lattice model (2004)

Z_2 Gauge Theory of Electron Fractionalization in the t,t'-J Model (2004)

The magnetic properties of a system of coexisting localized spins and conduction electrons are investigated within an extended version of the one dimensional Kondo lattice model in which effects...

Schmeltzer, D., Bishop, A. R.

We consider a strongly correlated "t,t'-J" spin model with a positive uniaxial anisotropy. We show that in 2+1 dimensions, this model is equivalent to spin-charge excitations coupled to Z_2 Ising...

Survival of quantum effects for observables after decoherence (2004)

Berman, G. P., Bishop, A. R., Borgonovi, F., Dalvit, D. A. R.

When a quantum nonlinear system is linearly coupled to an infinite bath of harmonic oscillators, quantum coherence of the system is lost on a decoherence time-scale $\tau_D$. Nevertheless, quantum...

Competing interactions of spin and lattice in the Kondo lattice model (2004)

Polaronic origin of the isotope effect on the London penetration depth in high-temperature superconducting oxides (2004)

The magnetic properties of a system of coexisting localized spins and conduction electrons are investigated within an extended version of the one-dimensional Kondo lattice model in which effects...

Bussmann-Holder, A., Micnas, R., Bishop, A. R.

Direct measurements of the in-plane London penetration depth lambda(L) have recently been performed on high-temperature superconducting copper oxides by a new low-energy muon spin rotation technique....

Enhancements of the superconducting transition temperature within the two-band model (2004)

Bussmann-Holder, A., Micnas, R., Bishop, A. R.

The two-band model as introduced by Suhl, Matthias and Walker [Phys. Rev. Lett. 3, 552 (1959)] accounts for multiple energy bands in the vicinity of the Fermi energy which could contribute to...

Quantum paraelectricity versus ferroelectricity: Nonlinear polarizability model (2004)

Intrinsic local modes and heterogeneity in relaxor ferroelectrics (2004)

Inhomogeneity, local mode formation, and the breakdown of the Bloch theorem in complex charge transfer systems as a consequence of discrete breather formation (2004)

Sequence-specific thermal fluctuations identify start sites for DNA transcription (2004)

Kalosakas, G., Rasmussen, K. O., Bishop, A. R., Choi, C. H., Usheva, A.

Quantum lattice dynamical effects on the single-particle excitations in 1D Mott and Peierls insulators (2003)

Fehske, H., Wellein, G., Hager, G., Weisse, A., Bishop, A. R.

As a generic model describing quasi-one-dimensional Mott and Peierls insulators, we investigate the Holstein-Hubbard model for half-filled bands using numerical techniques. Combining Lanczos...

Electron transmission through a short interacting wire: 0.7 conductance anomaly (2003)

Schmeltzer, D., Saxena, A., Bishop, A. R., Smith, D. L.

We investigate tunneling through a short interacting wire. We identify two temperature regimes (a) $T_{Kondo}

Electronic properties of structural twin and antiphase boundaries in materials with strong electron-lattice couplings (2003)

Ahn, K. H., Lookman, T., Saxena, A., Bishop, A. R.

Using a symmetry-based atomic scale theory of lattice distortions, we demonstrate that elastic textures, such as twin and antiphase boundaries, can generate intricate electronic inhomogeneities in...

Structurally specific thermal fluctuations identify functional sites for DNA transcription (2003)

Kalosakas, G., Rasmussen, K. Ø., Bishop, A. R., Choi, C. H., Usheva, A.

We report results showing that thermally-induced openings of double stranded DNA coincide with the location of functionally relevant sites for transcription. Investigating both viral and bacterial...

Atomic scale elastic textures coupled to electrons in superconductors (2003)

Ahn, K. H., Zhu, Jian-Xin, Nussinov, Z., Lookman, T., Saxena, A., Balatsky, A. V., ...

We present an atomic scale theory of lattice distortions using strain related variables and their constraint equations. Our approach connects constrained atomic length scale variations to continuum...

Fibrillar templates and soft phases in systems with short-range dipolar and long-range interactions (2003)

Reichhardt, C. J. Olson, Reichhardt, C., Bishop, A. R.

We analyze the thermal fluctuations of particles that have a short-range dipolar attraction and a long-range repulsion. In an inhomogeneous particle density region, or "soft phase," filamentary...

Competing interactions of spin and lattice in the Kondo lattice model (2003)

Vibrational edge modes in intrinsically inhomogeneous doped transition metal oxides (2003)

The magnetic properties of a system of coexisting localized spins and conduction electrons are investigated within an extended version of the one dimensional Kondo lattice model in which effects...

Martin, I., McQueeney, R. J., Bishop, A. R., Yu, Z. G.

By applying an unrestriced Hartree-Fock approximation and a Random Phase approximation to multiband Peierls-Hubbard Hamiltonians, we determine the phonon mode structure in models of transition metal...

Elasticity-Driven Nanoscale Electronic Structure in Superconductors (2003)

Zhu, Jian-Xin, Ahn, K. H., Nussinov, Z., Lookman, T., Balatsky, A. V., Bishop, A. R.

The effects of long-range anisotropic elastic deformations on electronic structure in superconductors are analyzed within the framework of the Bogoliubov-de Gennes equations. Cases of twin boundaries...

Dark-in-Bright Solitons in Bose-Einstein Condensates with Attractive Interactions (2003)

Kevrekidis, P. G., Frantzeskakis, D. J., Malomed, Boris A., Bishop, A. R., Kevrekidis, I. G.

We demonstrate a possibility to generate localized states in effectively one-dimensional Bose-Einstein condensates with a negative scattering length in the form of a dark soliton in the presence of...

Elasticity-driven Nanoscale Texturing in Complex Electronic Materials (2003)

Bishop, A. R., Lookman, T., Saxena, A., Shenoy, S. R.

Finescale probes of many complex electronic materials have revealed a non-uniform nanoworld of sign-varying textures in strain, charge and magnetization, forming meandering ribbons, stripe segments...

Long-range Charger transfer in DNA through Polaron Diffusion (2003)

Feedback Loops Between Fields and Underlying Space Curvature: an Augmented Lagrangian Approach (2003)

Recent experimental evidence shows that the pi-orbitals along the stacking of base pairs can facilitate the long-range charge transfer in DNA. Proton motion in the base pair hydrogen bonds has also...

Kevrekidis, P. G., Williams, F. L., Bishop, A. R., Kevrekidis, I. G., Malomed, B. A.

We demonstrate a systematic implementation of coupling between a scalar field and the geometry of the space (curve, surface, etc.) which carries the field. This naturally gives rise to a feedback...

Domain Walls in Two-Component Dynamical Lattices (2003)

Kevrekidis, P. G., Malomed, Boris A., Frantzeskakis, D. J., Bishop, A. R.

We introduce domain-wall (DW) states in the bimodal discrete nonlinear Schr{\"{o}}dinger equation, in which the modes are coupled by cross phase modulation (XPM). By means of continuation from...

Dynamics and Melting of Stripes, Crystals, and Bubbles with Quenched Disorder (2003)

Reichhardt, C. J. Olson, Reichhardt, C., Martin, I., Bishop, A. R.

Two-dimensional systems in which there is a competition between long-range repulsion and short range attraction exhibit a remarkable variety of patterns such as stripes, bubbles, and labyrinths. Such...

Optical response of oxide dielectrics (2003)

Effect of FET geometry on charge ordering of transition metal oxides (2002)

Reichhardt, C. J. Olson, Reichhardt, C., Smith, D. L., Bishop, A. R.

We examine the effect of an FET geometry on the charge ordering phase diagram of transition metal oxides using numerical simulations of a semiclassical model including long-range Coulomb fields,...

Polarized Magnetic Wire Induced by Tunneling Through a Magnetic Impurity (2002)

Schmeltzer, D., Bishop, A. R., Saxena, A., Smith, D.

Using the zero mode method we compute the conductance of a wire consisting of a magnetic impurity coupled to two Luttinger liquid leads characterized by the Luttinger exponent $\alpha(\leq 1)$. We...

Ferroelastic Dynamics and Strain Compatibility (2002)

Lookman, T., Shenoy, S. R., Rasmussen, K. O., Saxena, A., Bishop, A. R.

We derive underdamped evolution equations for the order-parameter (OP) strains of a ferroelastic material undergoing a structural transition, using Lagrangian variations with Rayleigh dissipation,...

Ground state properties of ferromagnetic metal/conjugated polymer interfaces (2002)

Xie, S. J., Ahn, K. H., Smith, D. L., Bishop, A. R., Saxena, A.

We theoretically investigate the ground state properties of ferromagnetic metal/conjugated polymer interfaces. The work is partially motivated by recent experiments in which injection of spin...

A discrete nonlinear model with substrate feedback (2002)

Kevrekidis, P. G., Malomed, B. A., Bishop, A. R.

We consider a prototypical model in which a nonlinear field (continuum or discrete) evolves on a flexible substrate which feeds back to the evolution of the main field. We identify the underlying...

Dynamical Ordering of Driven Stripe Phases in Quenched Disorder (2002)

Reichhardt, C., Reichhardt, C. J. Olson, Martin, I., Bishop, A. R.

We examine the dynamics and stripe formation in a system with competing short and long range interactions in the presence of both an applied dc drive and quenched disorder. Without disorder, the...

Atomic scale lattice distortions and domain wall profiles (2002)

Ahn, K. H., Lookman, T., Saxena, A., Bishop, A. R.

We present an atomic scale theory of lattice distortions using strain related variables and their constraint equations. Our approach connects constrained {\it atomic length} scale variations to {\it...

Dynamical Superfluid-Insulator Transition in a Chain of Weakly Coupled Bose-Einstein Condensates (2002)

Smerzi, A., Trombettoni, A., Kevrekidis, P. G., Bishop, A. R.

We predict a dynammical classical superfluid-insulator transition (CSIT) in a Bose-Einstein condensate (BEC) trapped in an optical and a magnetic potential. In the tight-binding limit, this system...

A Novel Mechanism for Superfluidity Breakdown in Weakly Coupled Bose-Einstein Condensates (2002)

Cataliotti, F. S., Fallani, L., Ferlaino, F., Fort, C., Maddaloni, P., Inguscio, M., ...

This paper has been withdrawn by the authors. The authors have now written two separate papers, one theoretical (A. Smerzi, A. Trombettoni, P. G. Kevrekidis, and A. R. Bishop Phys. Rev. Lett. 89,...

Superfluidity versus Disorder in the Discrete Nonlinear Schr\"odinger Equation (2002)

Trombettoni, A., Smerzi, A., Bishop, A. R.

We study the discrete nonlinear Schr\"odinger equation (DNLS) in an annular geometry with on-site defects. The dynamics of a traveling plane-wave maps onto an effective ''non-rigid pendulum''...

Scattering of a solitary pulse on a local defect or breather (2002)

Kevrekidis, Panayotis G., Malomed, Boris A., Nistazakis, H. E., Frantzeskakis, Dimitri J., Saxena, A., Bishop, A. R.

A model is introduced to describe guided propagation of a linear or nonlinear pulse which encounters a localized nonlinear defect, that may be either static or breather-like one (the model with the...

Thermal diffusion of supersonic solitons in an anharmonic chain of atoms (2002)

Arevalo, Edward, Mertens, Franz G., Gaididei, Yuri, Bishop, A. R.

We study the non-equilibrium diffusion dynamics of supersonic lattice solitons in a classical chain of atoms with nearest-neighbor interactions coupled to a heat bath. As a specific example we choose...

Incommensurate Magnetism around Vortices and Impurities in High-$T_c$ Superconductors (2002)

Zhu, Jian-Xin, Martin, Ivar, Bishop, A. R.

By solving self-consistently an effective Hamiltonian including interactions for both antiferromagnetic spin-density wave (SDW) and d-wave superconducting (DSC) orderings, a comparison study is made...

Tc enhancement in multiphonon-mediated multiband superconductivity (2002)

Bussmann-Holder, A., Gulacsi, M., Bishop, A.R.

We study a model of a multiband Fermi-surface structure to investigate its effect on the superconducting transition temperature in the limit of a high number of bands. We consider a simple limit...

Precursor Effects, Elastic Anomalies and Acoustic Mode Instabilities in SrTiO3 (2002)

Bussmann-Holder, A., Büttner, H., Bishop, A. R.

Dynamics of Quantum Phase Transition in an Array of Josephson Junctions (2002)

Dziarmaga, Jacek, Smerzi, Augusto, Zurek, W.H., Bishop, A.R.

We study the dynamics of the Mott insulator-superfluid quantum phase transition in a periodic 1D array of Josephson junctions. We show that crossing the critical point diabatically i.e. at a finite...

Superfluidity versus Disorder in the Discrete Nonlinear Schrödinger Equation (2002)

Trombettoni, Andrea, Smerzi, Augusto, Bishop, A.R.

We study the discrete nonlinear Schrödinger equation (DNLS) in an annular geometry with on-site defects. The dynamics of a traveling plane-wave maps onto an effective nonrigid pendulum Hamiltonian....

Statistics of charged solitons and formation of stripes (2001)

Teber, S, Stojkovic, B P, Brazovskii, S A, Bishop, A R

The 2-fold degeneracy of the ground state of a quasi-one-dimensional system allows it to support topological excitations such as solitons. We study the combined effects of Coulomb interactions and...

Depinning and Dynamics of Systems with Competing Interactions in Quenched Disorder (2001)

Reichhardt, C., Olson, C. J., Martin, I., Bishop, A. R.

We examine the depinning and driven dynamics of a system in which there is a competition between long range Coulomb repulsive and short range attractive interactions. In the absence of disorder the...

Dynamics of Quantum Phase Transition in an Array of Josephson Junctions (2001)

Dziarmaga, J., Smerzi, A., Zurek, W. H., Bishop, A. R.

We study the dynamics of the Mott insulator-superfluid quantum phase transition in a periodic 1D array of Josephson junctions. We show that crossing the critical point diabatically i.e. at a finite...

Dynamics of a single electron in the disordered Holstein model (2001)

Bronold, F. X., Saxena, A., Bishop, A. R.

We study, at zero temperature, the dynamics of a single electron in a Holstein model augmented by site-diagonal, binary-alloy type disorder. The average over the phonon vacuum and the alloy...

Analytic solutions for nonlinear waves in coupled reacting systems (2001)

Abramson, G., Bishop, A. R., Kenkre, V. M.

We analyze a system of reacting elements harmonically coupled to nearest neighbors in the continuum limit. An analytic solution is found for traveling waves. The procedure is used to find oscillatory...

Peierls-insulator Mott-insulator transition in 1D (2001)

Fehske, H., Wellein, G., Weiße, A., Göhmann, F., Büttner, H., Bishop, A. R.

In an attempt to clarify the nature of the crossover from a Peierls band insulator to a Mott Hubbard insulator, we analyze ground-state and spectral properties of the one-dimensional half-filled...

Non-linear excitations in 1D correlated insulators (2001)

Optical Properties of Crystals with Spatial Dispersion: Josephson Plasma Resonance in Layered Superconductors (2001)

In this work we investigate charge transport in one-dimensional (1D) insulators via semi-classical and perturbative renormalization group (RG) methods. We consider the problem of electron-electron,...

Bulaevskii, L. N., Helm, Ch., Bishop, A. R., Maley, M. P.

We derive the transmission coefficient, $T(\omega)$, for grazing incidence of crystals with spatial dispersion accounting for the excitation of multiple modes with different wave vectors ${\bf k}$...

DMRG and the Two Dimensional t-J Model (2001)

McCulloch, I. P., Bishop, A. R., Gulacsi, M.

We describe in detail the application of the recent non-Abelian Density Matrix Renormalization Group (DMRG) algorithm to the two dimensional t-J model. This extension of the DMRG algorithm allows us...

The phase diagram of high-Tc superconductors in the presence of dynamic stripes (2001)

Bussmann-Holder, A., Bishop, A. R., Büttner, H., Egami, T., Micnas, R., Müller, K. A.

Theory of dynamic stripe induced superconductivity (2001)

Bussmann-Holder, A., Müller, K. A., Micnas, R., Büttner, H., Simon, A., Bishop, A. R., ...

Three-Dimensional Elastic Compatibility and Varieties of Twins in Martensites (2001)

Albers, R. C., Bishop, A. R., Lookman, T., Rasmussen, K. Ø., Saxena, A.

Complexity at Mesoscale (2000)

Bishop, A. R., Rasmussen, K. \O., R{ö}der, J., Lookman, T., Saxena, A., Vanossi, Andrea, ...

Through three examples we illustrate some of the concepts and ingredients required for pattern formation at mesoscopic scales. Two examples build on microscopic models where mesoscopic patterns...

Dynamical Stability of an Ion in a Linear Trap as a Solid-State Problem of Electron Localization (2000)

Berman, G. P., Bishop, A. R., James, D. F. V., Hughes, R. J., Kamenev, D. I.

When an ion confined in a linear ion trap interacts with a coherent laser field, the internal degrees of freedom, related to the electron transitions, couple to the vibrational degree of freedom of...

Phonons and Solitons in 1D Mott Insulators (2000)

Analytic approach to the one-dimensional spin-Peierls system in the entire frequency range (2000)

We study the problem of one-dimensional (1D) Luttinger liquids in the insulating Mott-Hubbard phase in the presence of acoustic phonons in the semiclassical limit. We show that solitonic excitations...

Sun, Ping, Schmeltzer, D., Bishop, A. R.

We use the two cut-off renormalization group (RG) method to study the spin-Peierls model in one-dimension for the entire phonon frequency range. We integrate out the phonon and solve the effective...

Peak positions and shapes in neutron pair correlation functions from powders of highly anisotropic crystals (2000)

Dimitrov, D. A., Roder, H., Bishop, A. R.

The effect of the powder average on the peak shapes and positions in neutron pair distribution functions of polycrystalline materials is examined. It is shown that for highly anisotropic crystals,...

Competing Quantum Orderings in Cuprate Superconductors: A Minimal Model (2000)

Martin, Ivar, Ortiz, Gerardo, Balatsky, A. V., Bishop, A. R.

We present a minimal model for cuprate superconductors. At the unrestricted mean-field level, the model produces homogeneous superconductivity at large doping, striped superconductivity in the...

Photoemission Spectroscopy from Inhomogeneous Models of Cuprates (2000)

Eroles, J., Ortiz, G., Balatsky, A. V., Bishop, A. R.

We investigate the electronic dynamics in the underdoped cuprates focusing on the effects of one-dimensional charge stripes. We address recent experimental Angular-Resolved Photoemission Spectra...

Anomalous relaxation and self-organization in non-equilibrium processes (2000)

Fatkullin, Ibrahim, Kladko, Konstantin, Mitkov, Igor, Bishop, A. R.

We study thermal relaxation in ordered arrays of coupled nonlinear elements with external driving. We find, that our model exhibits dynamic self-organization manifested in a universal...

Mutagenesis and Metallic DNA (2000)

Parametric Quantum Resonances for Bose-Einstein Condensates (2000)

Positions of protons in DNA hydrogen bonds are fundamental for the fidelity of the replication process. Because the hydrogen bond is partially covalent the electronic structure of DNA plays an...

Kevrekidis, P. G., Bishop, A. R., Rasmussen, K. Ø.

We generalize recent work on parametric resonances for nonlinear Schr{\"o}dinger (NLS) type equations to the case of three dimensional Bose-Einstein condensates at zero temperatures. We show the...

Spontaneous pattern formation in driven nonlinear lattice (2000)

Vanossi, Andrea, Rasmussen, K. Ø., Bishop, A. R., Malomed, B. A., Bortolani, V.

We demonstrate the spontaneous formation of spatial patterns in a damped, ac-driven cubic Klein-Gordon lattice. These patterns are composed of arrays of intrinsic localized modes characteristic for...

Inhomogeneity-Induced Superconductivity? (2000)

Eroles, J., Ortiz, G., Balatsky, A. V., Bishop, A. R.

A t-J-like model for inhomogeneous superconductivity of cuprate oxides is presented, in which local anisotropic magnetic terms are essential. We show that this model predicts pairing, consistent with...

Microscopic Scenario for Striped Superconductors (2000)

Eroles, J., Ortiz, G., Balatsky, A. V., Bishop, A. R.

We argue that the superconducting state found in high-$T_c$ cuprates is inhomogeneous with a corresponding inhomogeneous superfluid density. We introduce two classes of microscopic models which...

Striped superconductors in the extended Hubbard model (2000)

Martin, Ivar, Ortiz, Gerardo, Balatsky, A. V., Bishop, A. R.

We present a minimal model of a doped Mott insulator that simultaneously supports antiferromagnetic stripes and d-wave superconductivity. We explore the implications for the global phase diagram of...

Roughening and superroughening in the ordered and random two-dimensional sine-Gordon models (2000)

Sanchez, Angel, Bishop, A. R., Moro, Esteban

We present a comparative numerical study of the ordered and the random two-dimensional sine-Gordon models on a lattice. We analytically compute the main features of the expected high temperature...

Optimized phonon approach for the diagonalization of electron-phonon problems (2000)

Weisse, A., Fehske, H., Wellein, G., Bishop, A. R.

We propose a new optimized phonon approach for the numerical diagonalization of interacting electron-phonon systems combining density-matrix and Lanczos algorithms. We demonstrate the reliablity of...

Charge localization and phonon spectra in hole doped La2NiO4 (2000)

McQueeney, R. J., Bishop, A. R., Yi, Ya-Sha, Yu, Z. G.

The in-plane oxygen vibrations in La2NiO4 are investigated for several hole-doping concentrations both theoretically and experimentally via inelastic neutron scattering. Using an inhomogeneous...

Pairing in Inhomogeneous Superconductors (2000)

Eroles, J., Ortiz, G., Balatsky, A. V., Bishop, A. R.

Starting from a t-J model, we introduce inhomogeneous terms to mimic stripes. We find that if the inhomogeneous terms break the SU(2) spin symmetry the binding between holes is tremendously enhanced...

Three-Dimensional Elastic Compatibility: Twinning in Martensites (2000)

Rasmussen, K. Ø., Lookman, T., Saxena, A., Bishop, A. R., Albers, R. C.

We show how the St.Venant compatibility relations for strain in three dimensions lead to twinning for the cubic to tetragonal transition in martensitic materials within a Ginzburg-Landau model in...

Stabilization of ferroelectricity in quantum paraelectrics by isotopic substitution (2000)

Bussmann-Holder, A., Büttner, H., Bishop, A. R.

Lattice and polarizability effects on singlet and triplet states in an effective hamiltonian for high-Tc cuprates (2000)

Bussmann-Holder, A., Simon, A., Büttner, H., Bishop, A. R.

Phonon induced stripe formation and charge ordering in high-Tc superconductors (2000)

Bussmann-Holder, A., Simon, A., Büttner, H., Bishop, A. R.

Charge ordering and long-range interactions in layered transition metal oxides: a quasiclassical continuum study (1999)

Stojkovic, Branko P., Yu, Z. G., Chernyshev, A. L., Bishop, A. R., Neto, A. H. Castro, Gronbech-Jensen, Niels

The competition between long-range and short-range interactions among holes moving in an antiferromagnet (AF), is studied within a model derived from the spin density wave picture of layered...

Local mode behaviour in quasi-1D CDW systems (1999)

Fehske, H., Wellein, G., Büttner, H., Bishop, A. R., Salkola, M. I.

We analyze numerically the ground-state and spectral properties of the three-quarter filled Peierls-Hubbard Hamiltonian. Various charge- and spin-ordered states are identified. In the strong-coupling...

Universal Scaling of Wave Propagation Failure in Arrays of Coupled Nonlinear Cells (1999)

Kladko, Konstantin, Mitkov, Igor, Bishop, A. R.

We study the onset of the propagation failure of wave fronts in systems of coupled cells. We introduce a new method to analyze the scaling of the critical external field at which fronts cease to...

Metallic stripe in two dimensions: stability and spin-charge separation (1999)

Chernyshev, A. L., Neto, A. H. Castro, Bishop, A. R.

The problems of charge stripe formation, spin-charge separation, and stability of the antiphase domain wall (ADW) associated with a stripe are addressed using an analytical approach to the t-J_z...

Influence of Non-Resonant Effects on the Dynamics of Quantum Logic Gates at Room Temperature (1999)

Berman, G. P., Bishop, A. R., Doolen, G. D., Lopez, G. V., Tsifrinovich, V. I.

We study numerically the influence of non-resonant effects on the dynamics of a single $\pi$-pulse quantum CONTROL-NOT (CN) gate in a macroscopic ensemble of fo ur-spin molecules at room temperature....

Switching between different vortex states in 2-dimensional easy-plane magnets due to an ac magnetic field (1999)

Gaididei, Yuri, Kamppeter, Till, Mertens, Franz G., Bishop, A. R.

Using a discrete model of 2-dimensional easy-plane classical ferromagnets, we propose that a rotating magnetic field in the easy plane can switch a vortex from one polarization to the opposite one if...

Dynamics of Vortices in Two-Dimensional Magnets (1999)

Mertens, F. G., Bishop, A. R.

Theories, simulations and experiments on vortex dynamics in quasi-two-dimensional magnetic materials are reviewed. These materials can be modelled by the classical two-dimensional anisotropic...

Stochastic vortex dynamics in two-dimensional easy-plane ferromagnets: Multiplicative versus additive noise (1999)

Kamppeter, Till, Mertens, Franz G., Moro, Esteban, Sanchez, Angel, Bishop, A. R.

We study how thermal fluctuations affect the dynamics of vortices in the two-dimensional classical, ferromagnetic, anisotropic Heisenberg model depending on their additive or multiplicative...

Noise-induced switching between vortex states with different polarization in classical two-dimensional easy-plane magnets (1999)

Gaididei, Y., Kamppeter, T., Mertens, F. G., Bishop, A. R.

In the 2-dimensional anisotropic Heisenberg model with XY-symmetry there are non-planar vortices which exhibit a localized structure of the z-components of the spins around the vortex center. We...

Hierarchy of equations of motion for nonlinear coherent excitations applied to magnetic vortices (1999)

Mertens, F. G., Bishop, A. R.

Starting from a travelling wave ansatz we show successively that the shape of a nonlinear excitation generally depends also on the 1st, 2nd, ... time derivative of the position X of the excitation....

Quantum versus Semiclassical Description of Selftrapping: Anharmonic Effects (1999)

Raghavan, S., Bishop, A. R., Kenkre, V. M.

Selftrapping has been traditionally studied on the assumption that quasiparticles interact with harmonic phonons and that this interaction is linear in the displacement of the phonon. To complement...

Discrete Nonlinear Schr{\"o}dinger Breathers in a Phonon Bath (1999)

Rasmussen, K. Ø., Aubry, S., Bishop, A. R., Tsironis, G. P.

We study the dynamics of the discrete nonlinear Schr{\"o}dinger lattice initialized such that a very long transitory period of time in which standard Boltzmann statistics is insufficient is reached....

Competing interactions and the isotope effect in colossal magnetoresistance materials. (1999)