Charge-density-wave phases of the generalized t-V model

TL;DR

This paper characterizes all possible charge-density-wave phases in a one-dimensional extended t-V fermionic model, revealing how potential energy tailoring induces phase transitions between conducting and insulating states.

Contribution

It provides a systematic construction of all low-density charge-density-wave phases and explores higher densities through a comprehensive finite unit cell analysis.

Findings

All possible low-density CDW phases are constructed in the atomic limit.

Higher critical density phases are analyzed via brute-force finite unit cell enumeration.

The study elucidates how potential energy modifications induce phase transitions.

Abstract

The one-dimensional extended t-V model of fermions on a lattice is a model with repulsive interactions of finite range that exhibits a transition between a Luttinger liquid conducting phase and a Mott insulating phase. It is known that by tailoring the potential energy of the insulating system, one can force a phase transition into another insulating phase. We show how to construct all possible charge-density-wave phases of the system at low critical densities in the atomic limit. Higher critical densities are investigated by a brute-force analysis of the possible finite unit cells of the Fock states.