Supersolids in one dimensional Bose Fermi mixtures

TL;DR

This study uses quantum Monte Carlo simulations to explore supersolid phases in one-dimensional Bose-Fermi mixtures on optical lattices, revealing conditions for coexistence of charge density waves and superfluidity.

Contribution

It demonstrates the emergence of supersolid phases in Bose-Fermi mixtures with simple on-site interactions, confirmed through finite size scaling analysis.

Findings

Supersolid phase exhibits simultaneous charge density wave and superfluid order.

Fermions participate in the collective supersolid phase.

Finite size scaling confirms the robustness of the supersolid state.

Abstract

Using quantum Monte Carlo simulations, we study a mixture of bosons and fermions loaded on an optical lattice. With simple on-site repulsive interactions, this system can be driven into a solid phase. We dope this phase and, in analogy with pure bosonic systems, identify the conditions under which the bosons enter a supersolid phase, i.e., exhibiting at the same time charge density wave and superfluid order. We perform finite size scaling analysis to confirm the presence of a supersolid phase and discuss its properties, showing that it is a collective phase that also involve phase coherence of the fermions.