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

## TL;DR

This paper investigates the stability of two-dimensional p-wave superfluids near a Feshbach resonance, revealing that quantum fluctuations can destabilize the homogeneous pairing state, especially at intermediate coupling or low densities.

## Contribution

It demonstrates that quantum fluctuations destabilize p-wave superfluidity in 2D Fermi gases, challenging previous weak-coupling predictions and highlighting the importance of higher-order effects.

## Key findings

- Homogeneous p-wave pairing becomes unstable due to two-loop quantum fluctuations.
- Instability occurs at intermediate interchannel coupling strength.
- Lowering particle density can also induce instability.

## 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.