Low energy quantum regimes of 1D dipolar Hubbard model with correlated hopping

S Fazzini,L Barbiero,A Montorsi

doi:10.1088/1742-6596/841/1/012016

Abstract

We apply the bosonization technique to derive the phase diagram of a balanced unit density two-component dipolar Fermi gas in a one dimensional lattice geometry. The considered interaction processes are of the usual contact and dipolar long-range density-density type together with peculiar correlated hopping terms which can be generated dynamically. Rigorous bounds for the transition lines are obtained in the weak coupling regime. In addition to the standard bosonization description, we derive the low energy phase diagram taking place when part of the interaction is embodied non-perturbatively in the single component Hamiltonians. In this case the Luttinger liquid regime is shown to become unstable with respect to the opening of further gapped phases, among which insulating bond ordered wave and Haldane phases, the latter with degenerate edge modes.

Highlights

Experiments with cold atoms have disclosed a new way of investigating strongly correlated systems [1]
As an application of our findings at generic X and V, here we report in Fig. 1 the phase diagram obtained at V = 0, where K
The resulting bosonized Hamiltonian consists of two spin-charge separated sine Gordon models, which phase diagram can be discussed according to Tab. 1, depending on mass and Luttinger parameters

Summary

Introduction

Experiments with cold atoms have disclosed a new way of investigating strongly correlated systems [1]. As noticed in [11], in some cases part of the interaction can be included non-perturbatively already in the single component Hamiltonian, as long as it remains in a LL regime This possibility has been exploited for instance in [13] to predict the presence of a Bond Ordered Wave (BOW) phase induced by dipolar interaction already within one-loop bosonization. In this case, the phase diagram obtained from the study of Renormalization Group (RG) flow equations exhibit a richer structure.

Weak coupling phase diagram

Conclusions