# Angular Fulde-Ferrell-Larkin-Ovchinnikov superfluid due to self-one-dimensionalization in imbalanced cold fermion gases

## TL;DR

This paper investigates the angular FFLO superfluid state in imbalanced cold fermion gases, revealing its stabilization in toroidal traps due to self-one-dimensionalization, and analyzes the spontaneous breaking of rotational symmetry at near-zero temperatures.

## Contribution

It demonstrates the stabilization mechanism of the angular FFLO state in toroidal traps and introduces the concept of self-one-dimensionalization in this context.

## Key findings

- Angular FFLO state is stabilized in toroidal traps.
- The state is not stabilized in harmonic traps.
- Self-one-dimensionalization explains the mechanism of stabilization.

## Abstract

We study the angular Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state, in which the rotation symmetry is spontaneously broken, in population imbalanced fermion gases. The superfluid gases at near T=0 are investigated on the basis of the Bogoliubov-de Gennes (BdG) equation. We find that the angular FFLO state is stabilized in the gases confined in the toroidal trap, but not in the harmonic trap. We discuss the mechanism of the angular FFLO state based on the self-one-dimensionalization of the superfluid gas.