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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

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.
More details from the publisher

Exactly Solvable Models of Strongly Correlated Electrons

, 1994

Authors:

VE Korepin, FHL Essler
More details from the publisher
Details from ArXiV

Determinant Representations for Correlation Functions of Spin-1/2 XXX and XXZ Heisenberg Magnets

(1994)

Authors:

FHL Essler, H Frahm, AG Izergin, VE Korepin
More details from the publisher

A Note on Dressed S-Matrices in Models with Long-Range Interactions

(1994)
More details from the publisher

Completeness of the SO (4) extended Bethe ansatz for the one-dimensional Hubbard model

Chapter in Exactly Solvable Models of Strongly Correlated Electrons, World Scientific Publishing 18 (1994) 133-160

Authors:

Fabian HL Eßler, Vladimir E Korepin, Kareljan Schoutens
More details from the publisher

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