Exactly integrable family of generalized Hubbard models with twisted Yangian symmetry

TL;DR

This paper introduces a new integrable family of generalized Hubbard models with twisted Yangian symmetry, providing explicit quantum R-matrices and Lax operators, and analyzing their Bethe ansatz solutions.

Contribution

It presents a novel exactly solvable family of Hubbard-like models with twisted Yangian symmetry, expanding the understanding of symmetries in strongly correlated electron systems.

Findings

Models are completely integrable with explicit R-matrices and Lax operators.

Bethe ansatz solutions show only minor deviations from the standard Hubbard model.

The symmetry is characterized by a twisted Yangian, a recent discovery in mathematical physics.

Abstract

A strongly correlated electron system with controlled hopping, in the line of the recently proposed generalized Hubbard models as candidates for high T_c-superconductors, is considered. The model along with a whole class of such systems are shown to be completely integrable with explicit quantum R-matrices and the Lax operators. Inspite of novelties in the Bethe ansatz solution, the final results do not deviate much from those of the standard Hubbard model. However, the symmetry of the model is changed to a recently discovered twisted Yangian symmetry.