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

7th Young Researcher Meeting

Fazzini, S.^1 ; Barbiero, L.^2,3 ; Montorsi, A.^1

Institute for Condensed Matter Physics and Complex Systems, DISAT, Politecnico di Torino

I-10129, Italy^1

CNR-IOM DEMOCRITOS Simulation Center and SISSA, Via Bonomea 265, Trieste

I-34136, Italy^2

Dipartimento di Fisica e Astronomia Galileo Galilei, Universita di Padova, Padova

35131, Italy^3

关键词: Correlated hopping;    Interaction process;    Luttinger liquids;    One-dimensional lattice;    Quantum regimes;    Single components;    Transition lines;    Weak-coupling regime;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/841/1/012016/pdf
DOI  :  10.1088/1742-6596/841/1/012016

来源: IOP

【 摘 要 】

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.