Hubbard-Shastry lattice models

Abstract

We consider two lattice models for strongly correlated electrons which are exactly-solvable in one dimension. Along with the Hubbard model and the su(2|2) spin chain, these are the only parity-invariant models that can be obtained from Shastry's R-matrix. One exhibits itinerant ferromagnetic behaviour, while for the other the electrons form bound pairs and at half-filling the model becomes insulating. We derive the TBA equations for the models, analyze them at various limits, and in particular obtain zero temperature phase diagrams. Furthermore we consider extensions of the models, which reduce to the Essler-Korepin-Schoutens model in certain limits.

v2: published version

References in corpus (3)

• Quantum Deformations of the One-Dimensional Hubbard Model
• The S-matrix of String Bound States
• The Bethe ansatz approach for factorizable centrally extended S-matrices

Cited by in corpus (11)

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• Super-diffusion in one-dimensional quantum lattice models
• Monodromy Bootstrap for SU(2|2) Quantum Spectral Curves: From Hubbard model to AdS3/CFT2
• Integrable quenches in the Hubbard model
• Popcorn Drude weights from quantum symmetry
• An algebraic approach to the Hubbard model
• The splitting of electrons and violation of the Luttinger sum rule
• A range three elliptic deformation of the Hubbard model
• New R-matrices with non-additive spectral parameters and integrable models of strongly correlated fermions
• On non-canonical degrees of freedom
• Hidden structure in the spectra of strongly correlated electrons in 1d