The generalized t-V model in one dimension

TL;DR

This paper introduces a strong coupling method for analyzing an extended one-dimensional t-V model, applicable to both integrable and non-integrable cases, providing analytic and preliminary numerical results.

Contribution

It develops a systematic strong coupling approach not relying on Bethe ansatz, applicable to finite-range interactions in one-dimensional t-V models.

Findings

Analytic ground state energy up to 7th order in t/V

Results for current density and density correlations

Preliminary numerical results for incommensurate non-integrable models

Abstract

We develop a systematic strong coupling approach for studying an extended t-V model with interactions of a finite range. Our technique is not based on the Bethe ansatz and is applicable to both integrable and non-integrable models. We illustrate our technique by presenting analytic results for the ground state energy (up to order 7 in t/V), the current density and density-density correlations for integrable and non-integrable models with commensurate filling factors. We further present preliminary numerical results for incommensurate non-integrable models.