A New Family of Integrable Extended Multi-band Hubbard Hamiltonians

TL;DR

This paper introduces a new class of exactly solvable one-dimensional multi-band fermionic Hamiltonians with affine quantum group symmetry, including a multi-band t-J model with unique properties and a generalization of the standard t-J model.

Contribution

It presents the construction of a new family of integrable multi-band Hamiltonians with affine quantum group symmetry, expanding the landscape of exactly solvable models.

Findings

Identified a multi-band t-J model with zero spin-spin interaction.

Developed a multi-band generalization of the standard t-J Hamiltonian.

Established the affine quantum group symmetry for all deformation parameters.

Abstract

We consider exactly solvable 1d multi-band fermionic Hamiltonians, which have affine quantum group symmetry for all values of the deformation. The simplest Hamiltonian is a multi-band t-J model with vanishing spin-spin interaction, which is the affinization of an underlying XXZ model. We also find a multi-band generalization of standard t-J model Hamiltonian.