The generalized t-V model in one dimension

Szyniszewski, Marcin and Burovski, Evgeni (2015) The generalized t-V model in one dimension. Journal of Physics: Conference Series, 592 (1). ISSN 1742-6588

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.