Fulde-Ferrell-Larkin-Ovchinnikov state of two-dimensional imbalanced Fermi gases
Abstract
The ground-state phase diagram of attractively-interacting Fermi gases in two dimensions with a population imbalance is investigated. We find the regime of stability for the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) phase, in which pairing occurs at finite wave vector, and determine the magnitude of the pairing amplitude and FFLO wavevector q in the ordered phase, finding that can be of the order of the two-body binding energy. Our results rely on a careful analysis of the zero temperature gap equation for the FFLO state, which possesses nonanalyticities as a function of and q, invalidating a Ginzburg-Landau expansion in small .
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