Phase diagram of two-component dipolar fermions in one-dimensional optical lattices

TL;DR

This paper theoretically explores the phase diagram of two-component dipolar fermions in one-dimensional optical lattices, revealing various phases influenced by interaction strength and dipole orientation.

Contribution

It combines bosonization and variational methods to map out the phase diagram, including Wigner crystal phases, in different coupling regimes.

Findings

Rich phase diagram with multiple phases depending on dipole angle

Identification of Wigner crystal phases at strong coupling

Structure factor signatures of particle ordering

Abstract

We theoretically map out the ground state phase diagram of interacting dipolar fermions in one-dimensional lattice. Using a bosonization theory in the weak coupling limit at half filing, we show that one can construct a rich phase diagram by changing the angle between the lattice orientation and the polarization direction of the dipoles. In the strong coupling limit, at a general filing factor, we employ a variational approach and find that the emergence of a Wigner crystal phases. The structure factor provides clear signatures of the particle ordering in the Wigner crystal phases.