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Theoretical physicists working at a blackboard collaboration pod in the Beecroft building.
Credit: Jack Hobhouse

Professor Fabian Essler

Professorial Research Fellow

Research theme

  • Fields, strings, and quantum dynamics
  • Quantum materials

Sub department

  • Rudolf Peierls Centre for Theoretical Physics

Research groups

  • Condensed Matter Theory
Fabian.Essler@physics.ox.ac.uk
Telephone: 01865 (2)73971
Rudolf Peierls Centre for Theoretical Physics, room 70.12
www-thphys.physics.ox.ac.uk/people/FabianEssler
  • About
  • Publications

Exact results on a supersymmetric extended hubbard model

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

Authors:

FHL Essler, VE Korepin
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INTEGRO-DIFFERENCE EQUATION FOR A CORRELATION-FUNCTION OF THE SPIN-1/2 HEISENBERG XXZ CHAIN

NUCLEAR PHYSICS B 446:3 (1995) 448-460

Authors:

FHL ESSLER, H FRAHM, AR ITS, VE KOREPIN
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SYMMETRIES OF STRONGLY CORRELATED ELECTRONS

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

Authors:

Vladimir E Korepin, Fabian HL Essler
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Symmetries of strongly correlated electrons

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

Authors:

VE Korepin, FHL Essler
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SU(2) × SU(2)-invariant scattering matrix of the Hubbard model

Nuclear Physics, Section B 426:3 (1994) 505-533

Authors:

FHL Essler, VE Korepin

Abstract:

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.
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