Unconventional superfluidity of fermions in Bose-Fermi mixtures

TL;DR

This paper predicts the emergence of unconventional superfluid phases with non-standard pairing symmetries and anyonic excitations in a two-dimensional mixture of fermions and dipolar bosons, using a modified Eliashberg framework.

Contribution

It introduces a theoretical model for superfluidity with non-standard pairing and non-Abelian anyonic excitations in Bose-Fermi mixtures, including vertex corrections.

Findings

Prediction of superfluid phases with unconventional pairing symmetries

Superfluid transition temperatures are experimentally feasible

Excitations exhibit non-Abelian anyonic statistics

Abstract

We examine two dimensional mixture of single-component fermions and dipolar bosons. We calculate the self-enregies of the fermions in the normal state and the Cooper pair channel by including first order vertex correction to derive a modified Eliashberg equation. We predict appearance of superfluids with various non-standard pairing symmetries at experimentally feasible transition temperatures within the strong-coupling limit of the Eliashberg equation. Excitations in these superfluids are anyonic and follow non-Abelian statistics.