Harmonically trapped dipolar fermions in a two-dimensional square lattice

TL;DR

This paper investigates how dipolar fermions in a 2D lattice with harmonic trapping exhibit various phases, including density order, superfluidity, and supersolidity, influenced by interaction anisotropy and trapping potential.

Contribution

It demonstrates the coexistence and competition of different quantum phases in trapped dipolar fermions, highlighting the formation of complex spatial structures.

Findings

Attractive dipolar interactions induce superfluidity.

Density order phases are suppressed by superfluidity.

Trapping potential creates coexisting and overlapping phases.

Abstract

We consider dipolar fermions in a two-dimensional square lattice and a harmonic trapping potential. The anisotropy of the dipolar interaction combined with the lattice leads to transitions between phases with density order of different symmetries. We show that the attractive part of the dipolar interaction results in a superfluid phase which is suppressed by density order. The trapping potential is demonstrated to make the different phases co-exist, forming ring and island structures. The phases with density and superfluid order can overlap forming regions with supersolid order.