Partially Solvable Anisotropic t-J Model with Long-Range Interactions

TL;DR

This paper introduces a new one-dimensional anisotropic t-J model with long-range interactions, partially solvable, and explores its ground state and excitations, revealing the effectiveness of Jastrow-type wave functions.

Contribution

It proposes a novel anisotropic t-J model with long-range interactions that is only partially solvable and connects to the XXZ chain in certain limits.

Findings

Jastrow-type wave functions are effective trial states.

Ground state and excitation spectrum are numerically derived.

Model reduces to XXZ chain in high-density limit.

Abstract

A new anisotropic t-J model in one dimension is proposed which has long-range hopping and exchange. This t-J model is only partially solvable in contrast to known integrable models with long-range interaction. In the high-density limit the model reduces to the XXZ chain with the long-range exchange. Some exact eigenfunctions are shown to be of Jastrow-type if certain conditions for an anisotropy parameter are satisfied. The ground state as well as the excitation spectrum for various cases of the anisotropy parameter and filling are derived numerically. It is found that the Jastrow-type wave function is an excellent trial function for any value of the anisotropy parameter.