Publications by Fabian Essler


The supersymmetric t-J model with a boundary

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 29 (1996) 6183-6203

FHL Essler


Painleve transcendent describes quantum correlation function of the XXZ antiferromagnet away from the free-fermion point

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 29 (1996) 5619-5626

FHL Essler, H Frahm, AR Its, VE Korepin


Representations of the quadratic algebra and partially asymmetric diffusion with open boundaries

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 29 (1996) 3375-3407

FHL Essler, V Rittenberg


Electronic model for superconductivity - Reply

PHYSICAL REVIEW LETTERS 76 (1996) 4290-4290

FHL Essler, VE Korepin, K Schoutens


Essler, Korepin, and Schoutens reply.

Phys Rev Lett 76 (1996) 4290-

FH Essler, VE Korepin, K Schoutens


Dual field approach to correlation functions in the Heisenberg xxz spin Chain

Recent Progress in Statistical Mechanics and Quantum Field Theory: Department of Physics & Astronomy, University of Southern California, 16-21 May 1994 World Scientific Publishing Company Inc. (1995)

F Essler, VE Korepin

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}. We show for one particular example how to derive determinant representations for correlation functions and how to use these to embed the correlation functions in integrable systems of integro-difference equations (IDE). These IDE are associated with a Riemann-Hilbert problem.


Symmetries of strongly correlated electrons

TOPOLOGICAL METHODS IN DIFFERENTIAL EQUATIONS AND INCLUSIONS 472 (1995) 71-80

VE Korepin, FHL Essler


Exact results on a supersymmetric extended hubbard model

TOPOLOGICAL METHODS IN DIFFERENTIAL EQUATIONS AND INCLUSIONS 472 (1995) 81-88

FHL Essler, VE Korepin


DETERMINANT REPRESENTATION FOR CORRELATION-FUNCTIONS OF SPIN-1/2-XXX AND SPIN-1/2-XXZ HEISENBERG MAGNETS

COMMUNICATIONS IN MATHEMATICAL PHYSICS 174 (1995) 191-214

FHL ESSLER, H FRAHM, AG IZERGIN, VE KOREPIN


INTEGRO-DIFFERENCE EQUATION FOR A CORRELATION-FUNCTION OF THE SPIN-1/2 HEISENBERG XXZ CHAIN

NUCLEAR PHYSICS B 446 (1995) 448-460

FHL ESSLER, H FRAHM, AR ITS, VE KOREPIN


SYMMETRIES OF STRONGLY CORRELATED ELECTRONS

HUBBARD MODEL: ITS PHYSICS AND MATHEMATICAL PHYSICS 343 (1995) 71-80

VE Korepin, FHL Essler


DRESSED S-MATRICES IN MODELS WITH LONG-RANGE INTERACTIONS

PHYSICAL REVIEW B 51 (1995) 13357-13366

FHL ESSLER


EXACT RESULTS ON A SUPERSYMMETRIC EXTENDED HUBBARD MODEL

HUBBARD MODEL: ITS PHYSICS AND MATHEMATICAL PHYSICS 343 (1995) 81-88

FHL Essler, VE Korepin


EXTENDED HUBBARD MODELS, ETA-PAIRING AND SUPERSYMMETRY

JOURNAL OF LOW TEMPERATURE PHYSICS 99 (1995) 415-420

FHL ESSLER


SU(2) × SU(2)-invariant scattering matrix of the Hubbard model

Nuclear Physics, Section B 426 (1994) 505-533

FHL Essler, VE Korepin

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 representation of SU(2) × SU(2). We determine the exact two-particle scattering matrix, which is a solution of the Yang-Baxter equation and reflects the SO(4) symmetry of the model. The results for the repulsive and attractive Hubbard model are related by an interchange of spin and charge degrees of freedom. © 1994.


EXACT SOLUTION OF AN ELECTRONIC MODEL OF SUPERCONDUCTIVITY

INTERNATIONAL JOURNAL OF MODERN PHYSICS B 8 (1994) 3205-3242

FHL ESSLER, VE KOREPIN, K SCHOUTENS


SPECTRUM OF LOW-LYING EXCITATIONS IN A SUPERSYMMETRIC EXTENDED HUBBARD-MODEL

INTERNATIONAL JOURNAL OF MODERN PHYSICS B 8 (1994) 3243-3279

FHL ESSLER, VE KOREPIN


SU(2)XSU(2)-INVARIANT SCATTERING MATRIX OF THE HUBBARD-MODEL

NUCLEAR PHYSICS B 426 (1994) 505-533

FHL ESSLER, VE KOREPIN


CORRELATION-FUNCTION OF THE SPIN-1/2 XXX ANTIFERROMAGNET

PHYSICS LETTERS A 190 (1994) 182-184

VE KOREPIN, AG IZERGIN, FHL ESSLER, DB UGLOV


SCATTERING MATRIX AND EXCITATION SPECTRUM OF THE HUBBARD-MODEL

PHYSICAL REVIEW LETTERS 72 (1994) 908-911

FHL ESSLER, VE KOREPIN

Pages