Competing many-body instabilities in two-dimensional dipolar Fermi gases

Abstract

Experiments on quantum degenerate Fermi gases of magnetic atoms and dipolar molecules begin to probe their broken symmetry phases dominated by the long-range, anisotropic dipole-dipole interaction. Several candidate phases including the p-wave superfluid, the stripe density wave, and a supersolid have been proposed theoretically for two-dimensional spinless dipolar Fermi gases. Yet the phase boundaries predicted by different approximations vary greatly, and a definitive phase diagram is still lacking. Here we present a theory that treats all competing many-body instabilities in the particle-particle and particle-hole channel on equal footing. We obtain the low temperature phase diagram by numerically solving the functional renormalization-group flow equations and find a nontrivial density wave phase at small dipolar tilting angles and strong interactions, but no evidence of the supersolid phase. We also estimate the critical temperatures of the ordered phases.

5 pages, 4 figures, references updated

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Cited by in corpus (5)

• Absence of long-range order in a triangular spin system with dipolar interactions
• $f$-wave superfluidity from repulsive interaction in Rydberg-dressed Fermi gas
• Two-dimensional Fermi liquid dynamics with density and quadrupolar interactions
• Topological Supersolidity of Dipolar Fermi Gases in a Spin-Dependent Optical Lattice
• Pairing from repulsion in a two-dimensional Fermi gas with soft-core interactions