Dynamical Correlations of the Spin-1/2 Heisenberg XXZ Chain in a Staggered Field (2008)
Kuzmenko, Igor, Essler, Fabian H. L.
We consider the easy-plane anisotropic spin-1/2 Heisenberg chain in combined uniform longitudinal and transverse staggered magnetic fields. The low-energy limit of his model is described by the...
Slowest relaxation mode of the partially asymmetric exclusion process with open boundaries (2008)
De Gier, Jan, Essler, Fabian H L
We analyze the Bethe ansatz equations describing the complete spectrum of the transition matrix of the partially asymmetric exclusion process on a finite lattice and with the most general open...
Local density of states of 1D Mott insulators and CDW states with a boundary (2008)
Schuricht, Dirk, Essler, Fabian H. L., Jaefari, Akbar, Fradkin, Eduardo
We determine the local density of states (LDOS) of one-dimensional incommensurate charge density wave (CDW) states in the presence of a strong impurity potential, which is modeled by a boundary. We...
A test of the g-ology model for one-dimensional interacting Fermi systems (2008)
Chubukov, Andrey V., Maslov, Dmitrii L., Essler, Fabian H. L.
Bosonization predicts that the specific heat, C(T), of a one-dimensional interacting Fermi system is a sum of the specific heats of free collective charge and spin excitations, plus the term with the...
Finite-temperature lineshapes in gapped quantum spin chains (2007)
Essler, Fabian H. L., Konik, Robert M.
We consider the finite-temperature dynamical structure factor (DSF) of gapped quantum spin chains such as the spin one Heisenberg model and the transverse field Ising model in the disordered phase....
Dynamical response functions in the quantum Ising chain with a boundary (2007)
Schuricht, Dirk, Essler, Fabian H. L.
We determine dynamical response functions $$ in the scaling limit of the quantum Ising chain on the half line in the presence of a boundary magnetic field. Using a spectral representation in terms of...
Exact Spectral Gaps of the Asymmetric Exclusion Process with Open Boundaries (2006)
De Gier, Jan, Essler, Fabian H L
We derive the Bethe ansatz equations describing the complete spectrum of the transition matrix of the partially asymmetric exclusion process with the most general open boundary conditions. By...
Bethe Ansatz Solution of the Asymmetric Exclusion Process with Open Boundaries (2005)
De Gier, Jan, Essler, Fabian H. L.
We derive the Bethe ansatz equations describing the complete spectrum of the transition matrix of the partially asymmetric exclusion process with the most general open boundary conditions. For...
Spin dynamics of the quasi two dimensional spin-1/2 quantum magnet Cs_2CuCl_4 (2005)
Veillette, Martin Y., James, Andrew J. A., Essler, Fabian H. L.
We study dynamical properties of the anisotropic triangular quantum antiferromagnet Cs_2CuCl_4. Inelastic neutron scattering measurements have established that the dynamical spin correlations cannot...
Continuum Limit of the Integrable sl(2/1) 3-\bar{3} Superspin Chain (2005)
Essler, Fabian H. L., Frahm, Holger, Saleur, Hubert
By a combination of analytical and numerical techniques, we analyze the continuum limit of the integrable 3\otimes\bar{3}\otimes 3\otimes\bar{3}... sl(2/1) superspin chain. We discover profoundly new...
Essler, Fabian H. L., Konik, Robert M.
We review applications of the sine-Gordon model, the O(3) non-linear sigma model, the U(1) Thirring model, and the O(N) Gross--Neveu model to quasi one-dimensional quantum magnets, Mott insulators,...
Haldane-gap chains in a magnetic field (2004)
Essler, Fabian H. L., Affleck, Ian
We consider quasi one dimensional spin-1 Heisenberg chains with crystal field anisotropy in a uniform magnetic field. We determine the dynamical structure factor in various limits and obtain a fairly...
Dynamical density correlation function of 1D Mott insulators in a magnetic field (2002)
Controzzi, Davide, Essler, Fabian H. L.
We consider the one dimensional (1D) extended Hubbard model at half filling in the presence of a magnetic field. Using field theory techniques we calculate the dynamical density-density correlation...
Dynamical density correlation function of one-dimensional Mott insulators in a magnetic field (2002)
Controzzi, Davide, Essler, Fabian H.L.
We consider the one dimensional (1D) extended Hubbard model at half filling in the presence of a magnetic field. Using field theory techniques we calculate the dynamical density-density correlation...
Weakly coupled one-dimensional Mott insulators (2001)
Essler, Fabian H. L., Tsvelik, Alexei M.
We consider a model of one-dimensional Mott insulators coupled by a weak interchain tunnelling $t_\perp$. We first determine the single-particle Green's function of a single chain by exact...
Spectral function of a quarter-filled one-dimensional CDW insulator (2001)
Essler, Fabian H. L., Tsvelik, Alexei M.
We consider a one-dimensional charge density wave (CDW) insulator formed by Umklapp processes in a quarter-filled band. The spectrum of the model consists of gapless, uncharged excitations carrying...
Bocquet, Marc, Essler, Fabian H. L., Tsvelik, Alexei M., Gogolin, Alexander O.
We study the dynamical response of frustrated, quasi-one-dimensional spin-1/2 Heisenberg antiferromagnets at finite temperatures. We allow for the presence of a Dzyaloshinskii-Moriya interaction. We...
Dynamical Properties of one dimensional Mott Insulators (2000)
Controzzi, Davide, Essler, Fabian H. L., Tsvelik, Alexei M.
At low energies the charge sector of one dimensional Mott insulators can be described in terms of a quantum Sine-Gordon model. Using exact results derived from integrability it is possible to...
Optical conductivity of one-dimensional Mott insulators (2000)
Controzzi, Davide, Essler, Fabian H. L., Tsvelik, Alexei M.
We calculate the optical conductivity of one-dimensional Mott insulators at low energies using a field theory description. The square root singularity at the optical gap, characteristic of band...
We analyse the three-particle scattering continuum in quasi one dimensional integer spin Heisenberg antiferromagnets within a low-energy effective field theory framework. We exactly determine the...
The fate of spinons in spontaneously dimerised spin-1/2 ladders (1999)
Allen, Dave, Essler, Fabian H. L., Nersesyan, Alexander A.
We study a weakly coupled, frustrated two-leg spin-1/2 Heisenberg ladder. For vanishing coupling between the chains, elementary excitations are deconfined, gapless spin-1/2 objects called spinons. We...
A note on density correlations in the half-filled Hubbard model (1999)
Essler, Fabian H. L., Frahm, Holger
We consider density-density correlations in the one-dimensional Hubbard model at half filling. On intuitive grounds one might expect them to exhibit an exponential decay. However, as has been noted...
Sine-Gordon low-energy effective theory for Copper Benzoate (1998)
Specific heat data for the quasi one dimensional quantum magnet Copper Benzoate (Cu(C_6D_5COO)_2 \cdot 3D_2O) is analyzed in the framework of an effective low-energy description in terms of a...
Formfactors in the half-filled Hubbard model (1998)
Essler, Fabian H. L., Korepin, Vladimir E.
We consider dynamical spin-spin correlation functions in the one dimensional repulsive half-filled Hubbard model. We propose an exact expression for the two spinon formfactor of spin operators. We...
Incommensurate spin correlations in Heisenberg spin-1/2 zig-zag ladders (1998)
Nersesyan, Alexander A., Gogolin, Alexander O., Essler, Fabian H. L.
We develop a low-energy effective theory for spin-1/2 frustrated two-leg Heisenberg spin ladders. We obtain a new type of interchain coupling that breaks parity symmetry. In the presence of an...
Temperature Corrections to Conformal Field Theory (1998)
Essler, Fabian H. L., Korepin, Vladimir E., Latremoliere, Franck T.
We consider finite temperature dynamical correlation functions in the interacting delta-function Bose gas. In the low-temperature limit the asymptotic behaviour of correlation functions can be...
Dynamical Magnetic Susceptibilities in Cu Benzoate (1997)
Essler, Fabian H. L., Tsvelik, Alexei M.
Recent experiments on the quasi 1-D antiferromagnet Cu Benzoate revealed a magentic field induced gap coexisting with (ferro)magnetic order. A theory explaining these findings has been proposed by...
Quasi-1D spin-1/2 Heisenberg magnets in their ordered phase: correlation functions (1997)
Essler, Fabian H. L., Tsvelik, Alexei M., Delfino, Gesulado
We study weakly coupled antiferromagnetic spin chains in their ordered phase by combinining an exact solution of the single-chain problem with an RPA analysis of the interchain interaction. A single...
X-ray edge singularity in integrable lattice models of correlated electrons (1997)
Essler, Fabian H. L., Frahm, Holger
We study the singularities in X-ray absorption spectra of one-dimensional Hubbard and $t$--$J$ models. We use Boundary Conformal Field Theory and the Bethe Ansatz solutions of these models with both...
The Supersymmetric t-J Model with a Boundary (1996)
An open supersymmetric t-J chain with boundary fields is studied by means of the Bethe Ansatz. Ground state properties for the case of an almost half-filled band and a bulk magnetic field are...
Essler, Fabian H. L., Frahm, Holger, Its, Alexander R., Korepin, Vladimir E.
We consider quantum correlation functions of the antiferromagnetic spin-$\frac{1}{2}$ Heisenberg XXZ spin chain in a magnetic field. We show that for a magnetic field close to the critical field...
Essler, Fabian H. L., Frahm, Holger, Its, Alexander R., Korepin, Vladimir E.
We consider a completely integrable lattice regularization of the sine-Gordon model with discrete space and continuous time. We derive a determinant representation for a correlation function which in...
Essler, Fabian H. L., Rittenberg, Vladimir
We consider the one-dimensional partially asymmetric exclusion model with open boundaries. The model describes a system of hard-core particles that hop stochastically in both directions with...
Dual Field Approach to Correlation Functions in the Heisenberg Xxz Spin Chain (1995)
Essler, Fabian H. L., Korepin, Vladimir E.
We study zero temperature correlation functions of the spin-$1\over 2$ Heisenberg XXZ model in the critical regime $-1< \Delta\leq 1$ in a magnetic field by means of the {\tenit Dual Field Approach}....
A Note on Dressed S-Matrices in Models with Long-Range Interactions (1994)
The {\sl dressed} Scattering matrix describing scattering of quasiparticles in various models with long-range interactions is evaluated by means of Korepin's method\upref vek1/. For models with...
Correlation Function of the Spin-1/2 XXX Antiferromagnet (1994)
Korepin, Vladimir E., Izergin, Anatoli G., Essler, Fabian H. L., Uglov, Denis B.
We consider a special correlation function in the isotropic spin-$\half$ Heisenberg antiferromagnet. It is the probability of finding a ferromagnetic string of (adjacent) spins in the...
SU(2)xSU(2) Invariant Scattering Matrix of the Hubbard Model (1993)
Essler, Fabian H. L., Korepin, Vladimir E.
We consider the one-dimensional half-filled Hubbard model. We show that the excitation spectrum is given by the scattering states of four elementary excitations, which form the fundamental...
Scattering Matrix and Excitation Spectrum of the Hubbard Model (1993)
Essler, Fabian H. L., Korepin, Vladimir E.
We consider the one-dimensional Hubbard model at half filling. We show that both excitation spectrum and S-matrix are determined by the SO(4) symmetry of the model. The complete set of excitations is...
Spectrum of Low-Lying Excitations in a Supersymmetric Extended Hubbard Model (1993)
Essler, Fabian H. L., Korepin, Vladimir E.
We continue the study of the $u(2|2)$-supersymmetric extension of the Hubbard model in one dimension. We determine the excitation spectrum at zero temperature even in the sectors where the ground...
Exact Solution of an Electronic Model of Superconductivity in 1+1 Dimensions (1992)
Essler, Fabian H. L., Korepin, Vladimir E., Schoutens, Kareljan
We study a superconducting integrable model of strongly correlated electrons in 1+1 dimensions. We construct all six Bethe Ans\"atze for the model and give explicit expressions for lowest...
Completeness of the SO(4) Extended Bethe Ansatz for the One-Dimensional Hubbard Model (1992)
Essler, Fabian H. L., Korepin, Vladimir E., Schoutens, Kareljan
We show how to construct a complete set of eigenstates of the hamiltonian of the one-dimensional Hubbard model on a lattice of even length $L$. This is done by using the nested Bethe Ansatz {\it and}...
Essler, Fabian H. L., Korepin, Vladimir E., Schoutens, Kareljan
We present a new model describing strongly correlated electrons on a general $d$-dimensional lattice. It differs from the Hubbard model by interactions of nearest neighbours, and it contains the...
Essler, Fabian H. L., Korepin, Vladimir E.
We construct the enveloping fundamental spin model of the t-J hamiltonian using the Quantum Inverse Scattering Method (QISM), and present all three possible Algebraic Bethe Ans\"atze. Two of the...