Supersolid in Bose-Bose-Fermi Mixtures subjected to a Square Lattice

TL;DR

This paper investigates the conditions under which supersolid phases can form in Bose-Bose-Fermi mixtures on a square lattice, highlighting how interaction tuning can enhance transition temperatures and experimental observability.

Contribution

It demonstrates that tuning interactions in Bose-Bose-Fermi mixtures can favor supersolid formation and increase transition temperatures, making experimental detection more feasible.

Findings

Bose-bose phase separation occurs at higher temperatures than bose-fermi separation.

Transition temperature of supersolid is enhanced in the studied mixtures.

Coherence peak at the ordering wavevector is increased, aiding experimental observation.

Abstract

Two-component Bose condensates with repulsive interaction are stable when $g_{\rm \scriptscriptstyle 1} g_{\rm \scriptscriptstyle 2}<g_{\rm \scriptscriptstyle 12}^{2}$ is satisfied. By tuning the interactions, we show that the instability corresponding to bose-bose phase separation always happens at a higher temperature than corresponding to bose-fermi phase separation happens. Moreover, we find both the transition temperature $T_{\rm \scriptscriptstyle DW}$ of supersolid and the coherence peak at $k_{\rm \scriptscriptstyle DW}$ are enhanced in the mixtures studied. These will make the observation of supersolid in experiments more reachable.