Hydrodynamic relation in 2D Heisenberg antiferromagnet in a field (2009)
Chernyshev, A. L., Zhitomirsky, M. E.
The spin-stiffness \rho_s of a 2D Heisenberg antiferromagnet depends non-analytically on external magnetic field. We demonstrate that the hydrodynamic relation between \rho_s, the uniform...
Chernyshev, A. L., Zhitomirsky, M. E.
We present a comprehensive study of the dynamical properties of the quantum Heisenberg antiferromagnet on a triangular lattice within the framework of spin-wave theory. The distinct features of...
Impurity-induced frustration in correlated oxides (2008)
Liu, Cheng-Wei, Liu, Shiu, Kao, Ying-Jer, Chernyshev, A. L., Sandvik, Anders W.
Using the example of Zn-doped La2CuO4, we demonstrate that a spinless impurity doped into a non-frustrated antiferromagnet can induce substantial frustrating interactions among the spins surrounding...
Spinon-holon interactions in an anisotropic t-J chain: a comprehensive study (2007)
Smakov, Jurij, Chernyshev, A. L., White, Steven R.
We consider a generalization of the one-dimensional t-J model with anisotropic spin-spin interactions. We show that the anisotropy leads to an effective attractive interaction between the spinon and...
Neel order in square and triangular lattice Heisenberg models (2007)
White, Steven R., Chernyshev, A. L.
Using examples of the square- and triangular-lattice Heisenberg models we demonstrate that the density matrix renormalization group method (DMRG) can be effectively used to study magnetic ordering in...
Binding of holons and spinons in the one-dimensional anisotropic t-J model (2007)
Smakov, Jurij, Chernyshev, A. L., White, Steven R.
We study the binding of a holon and a spinon in the one-dimensional anisotropic t-J model using a Bethe-Salpeter equation approach, exact diagonalization, and density matrix renormalization group...
Magnon Decay in Noncollinear Quantum Antiferromagnets (2006)
Chernyshev, A. L., Zhitomirsky, M. E.
Instability of the excitation spectrum of an ordered noncollinear Heisenberg antiferromagnet (AF) with respect to spontaneous two-magnon decays is investigated. We use a spin-1/2 AF on a triangular...
We study the effects of external magnetic field on the properties of an ordered Heisenberg antiferromagnet with the Dzyaloshinskii-Moriya (DM) interaction. Using the spin-wave theory quantum...
Higher order effective low-energy theories (2004)
Chernyshev, A. L., Galanakis, Dimitrios, Phillips, Philip, Rozhkov, A. V., Tremblay, A. -M. S.
Three well-known perturbative approaches to deriving low-energy effective theories, the degenerate Brillouin-Wigner perturbation theory (projection method), the canonical transformation, and the...
Thermal conductivity of quasi-one-dimensional antiferromagnetic spin-chain materials (2004)
Rozhkov, A. V., Chernyshev, A. L.
We study heat transport in quasi-one-dimensional spin-chain systems by considering the model of one-dimensional bosonic spin excitations interacting with three-dimensional phonons and impurities in...
Thermal transport in antiferromagnetic spin-chain materials (2004)
Chernyshev, A. L., Rozhkov, A. V.
We study the problem of heat transport in one-dimensional (1D) spin-chain systems weakly coupled to three-dimensional phonons and impurities. We consider the limit of fast spin excitations and slow...
Edge States in Doped Antiferromagnetic Nano-Structures (2004)
Chernyshev, A. L., Neto, A. H. Castro, White, S. R.
We study competition between different phases in a strongly correlated nano-structure with an edge. Making use of the self-consistent Green's function and density matrix renormalization group...
Spin polarons and high-Tc superconductivity (2002)
Chernyshev, A. L., Wood, R. F.
In this short review article, we consider some aspects of the spin-polaron concept as they relate to high-Tc superconductivity. The article is intended to be an overview in which a flavor of the...
Spin Diffusion in Double-Exchange Manganites (2002)
Chernyshev, A. L., Fishman, R. S.
The theoretical study of spin diffusion in double-exchange magnets by means of dynamical mean-field theory is presented. We demonstrate that the spin-diffusion coefficient becomes independent of the...
Acoustic Phonon Anomaly in MgB2 (2002)
Wood, R. F., Sernelius, Bo E., Chernyshev, A. L.
Recent first principles calculations of the phonon dispersion curves in MgB_2 have suggested the presence of anomalies in some of the curves, particularly in the longitudinal acoustical (LA) branch...
Stripe as an effective one-dimensional band of composite excitations (2002)
Chernyshev, A. L., White, S. R., Neto, A. H. Castro
The microscopic structure of a charge stripe in an antiferromagnetic insulator is studied within the t-Jz model using analytical and numerical approaches. We demonstrate that a stripe in an...
Effect of impurities on quasi-2D quantum antiferromagnet (2001)
Chernyshev, A. L., Chen, Y. C., Neto, A. H. Castro
We have studied the static and dynamic properties of quasi-two-dimensional quantum antiferromagnets (AF) diluted with spinless impurities using spin-wave theory and $T$-matrix approximation. We show...
Charge Stripe in an Antiferromagnet: 1d Band of Composite Excitations (2001)
Chernyshev, A. L., White, Steven R., Neto, A. H. Castro
With the help of analytical and numerical studies of the $t$-$J_z$ model we argue that the charge stripe in an antiferromagnetic insulator should be understood as a system of holon-spin-polaron...
Diluted quantum antiferromagnets: spin excitations and long-range order (2001)
Chernyshev, A. L., Chen, Y. C., Neto, A. H. Castro
We have studied the static and dynamic magnetic properties of two-dimensional (2D) and quasi-two-dimensional, spin-S, quantum Heisenberg antiferromagnets (QHAF) diluted with spinless vacancies. Using...
Long-range order and low-energy spectrum of diluted 2D quantum AF (2000)
Chernyshev, A. L., Chen, Y. C., Neto, A. H. Castro
The problem of diluted two-dimensional (2D) quantum antiferromagnet (AF) on a square lattice is studied using spin-wave theory. The influence of impurities on static and dynamic properties is...
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...
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...
Holes in the t-J_z model: a thorough study (1999)
Chernyshev, A. L., Leung, P. W.
The t-J_z model is the strongly anisotropic limit of the t-J model which captures some general properties of the doped antiferromagnets (AF). The absence of spin fluctuations simplifies the...
Instability of antiferromagnetic magnons in strong fields (1998)
Zhitomirsky, M. E., Chernyshev, A. L.
We predict that spin-waves in an ordered quantum antiferromagnet (AFM) in a strong magnetic field become unstable with respect to spontaneous two-magnon decays. At zero temperature, the instability...
A comprehensive numerical and analytical study of two holes doped into the 2D t-J model (1998)
Chernyshev, A. L., Leung, P. W., Gooding, R. J.
We report on a detailed examination of numerical results and analytical calculations devoted to a study of two holes doped into a two-dimensional, square lattice described by the t-J model. Our exact...
A numerical and analytical study of two holes doped into the 2D t--J model (1997)
Chernyshev, A. L., Leung, P. W., Gooding, R. J.
Exact diagonalization numerical results are presented for a 32-site square cluster, with two holes propagating in an antiferromagnetic background described by the t-J model. We characterize the wave...
Two-hole problem in the t-J model: A canonical transformation approach (1996)
Belinicher, V. I., Chernyshev, A. L., Shubin, V. A.
The t-J model in the spinless-fermion representation is studied. An effective Hamiltonian for the quasiparticles is derived using canonical transformation approach. It is shown that the rather simple...
Single hole dispersion relation for the real CuO$_2$ plane (1996)
Belinicher, V. I., Chernyshev, A. L., Shubin, V. A.
Dispersion relation for the CuO$_2$ hole is calculated basing on the {\it generalized} $t$-$t^{\prime}$-$J$ model, recently derived from the three-band one. Numerical ranges for all model parameters,...
Belinicher, V. I., Chernyshev, A. L., Shubin, V. A.
A microscopically based Hamiltonian of the generalized $t$-$t^\prime$-$J$ model is presented. Two types of the additional $t^\prime$-terms are discussed. The set of ranges of the additional...
Range of the t--J model parameters for CuO$_{2}$ plane: experimental data constraints (1994)
Belinicher, V. I., Chernyshev, A. L., Popovich, L. V.
The t-J model effective hopping integral is determined from the three-band Hubbard model for the charge carriers in CuO$_{2}$ plane. For this purpose the values of the superexchange constant $J$ and...
Hole-hole superconducting pairing in the t-J model induced by spin-wave exchange (1994)
Belinicher, V. I., Chernyshev, A. L., Dotsenko, A. V., Sushkov, O. P.
We study numerically the hole pairing induced by spin-wave exchange. The contact hole-hole interaction is taken into account as well. It is assumed that antiferromagnetic order is preserved at all...
Hole-Hole Contact Interaction in the t-J Model (1993)
Chernyshev, A. L., Dotsenko, A. V., Sushkov, O. P.
Using an analytical variational approach we calculate the hole-hole contact interaction on the N\'{e}el background. Solution of the Bethe-Salpeter equation with this interaction gives bound states in...
Belinicher, V. I., Chernyshev, A. L.
A full three-band model for the CuO$_{2}$ plane with inclusion of all essential interactions - Cu-O and O-O hopping, repulsion at the copper and oxygen and between them - is considered. A general...
Reduction of three-band model for copper oxides to single-band generalized t~-~J model (1993)
Belinicher, V. I., Chernyshev, A. L.
A three-band model for copper oxides in the region of parameters where the second hole on the copper has energy close to the first hole on the oxygen is considered. The exact solution for one hole on...
Low-energy limit of the three-band model for electrons in a CuO$_{2}$ plane (1993)
Belinicher, V. I., Chernyshev, A. L.
The three-band model with the O-O direct hopping near to unit filling is considered. We present the general procedure of reduction of this model to the low-energy limit. At unit filling the...
Belinicher, V. I., Chernyshev, A. L.
The representation of the Hubbard operators in terms of the spin$-\frac{1}{2}$ operators and the fermion operator with spin$-\frac{1}{2}$ is proposed. In the low-energy limit this representation is...