Generalized $t$-$j$ Model

TL;DR

This paper introduces a generalized t-j model with a free parameter, exhibiting $SU_q(1,2)$ symmetry, which modulates energy spectra and offers new insights into high-temperature superconductivity.

Contribution

It presents a novel parameterized electron correlation model with $SU_q(1,2)$ symmetry, expanding the theoretical framework for high-temperature superconductivity research.

Findings

Energy spectra are modulated by the free parameter.

Solution and symmetric structures of the Hilbert space are analyzed.

Bethe ansatz approach is discussed for special cases.

Abstract

By parameterizing the t-j model we present a new electron correlation model with one free parameter for high-temperature superconductivity. This model is of $SU_{q}(1,2)$ symmetry. The energy spectrums are shown to be modulated by the free parameter in the model. The solution and symmetric structures of the Hilbert space, as well as the Bethe ansatz approach are discussed for special cases.