Two-dimensional Fermi gases near a p-wave resonance: effect of quantum fluctuations

Abstract

We study the stability of p-wave superfluidity against quantum fluctuations in two-dimensional Fermi gases near a p-wave Feshbach resonance . An analysis is carried out in the limit when the interchannel coupling is strong. By investigating the effective potential for the pairing field via the standard loop expansion, we show that a homogeneous p-wave pairing state becomes unstable when two-loop quantum fluctuations are taken into account. This is in contrast to the previously predicted $p+ip$ supefluid in the weak-coupling limit [V. Gurarie et al., Phys. Rev. Lett. 94, 230403 (2005)]. It implies a possible onset of instability at certain intermediate interchannel coupling strength. Alternatively, the instability can also be driven by lowering the particle density. We also discuss the validity of our analysis.

Figs and technical details have been added; more comments on the breakdown of the mean-field theory and on the validity of our analyses have been added

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• Cusps near Topological Phase Transitions: Signatures of Majorana fermions and interactions with fluctuations
• Ground-state properties of dilute spinless fermions in fractional dimensions
• Transport in p-wave interacting Fermi gases
• Quantum fluctuations of a resonantly interacting $p$-wave Fermi superfluid in two dimensions
• Studies of Single Component Fermi Gas near a $P$-wave Resonance with Lowest Order Constrained Variational Method
• Tricritical physics in two-dimensional $p$-wave superfluids
• Three-body recombination in a single-component Fermi gas with $p$-wave interaction
• Radio-Frequency Spectroscopy and the Dimensional Crossover in Interacting Spin-Polarized Fermi Gases