Holstein model and Peierls instability in 1D boson-fermion lattice gases

TL;DR

This paper investigates a one-dimensional ultracold boson-fermion mixture in an optical lattice, revealing a Peierls instability and bosonic density wave formation analogous to the Holstein model.

Contribution

It demonstrates the emergence of Peierls instability and bosonic density waves in a 1D boson-fermion system described by the Holstein model, under specific mass and filling conditions.

Findings

Peierls instability occurs at commensurate fermion fillings.

Bosonic density wave with twice the Fermi wavenumber forms.

System behavior aligns with predictions of the Holstein model.

Abstract

We study an ultracold bose-fermi mixture in a one dimensional optical lattice. When boson atoms are heavier then fermion atoms the system is described by an adiabatic Holstein model, exhibiting a Peierls instability for commensurate fermion filling factors. A Bosonic density wave with a wavenumber of twice the Fermi wavenumber will appear in the quasi one-dimensional system.