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

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