Vortex core states in superfluid Fermi-Fermi mixtures with unequal masses

TL;DR

This study investigates vortex core states in a two-dimensional superfluid Fermi-Fermi mixture with unequal masses, revealing mass-dependent density distributions and core occupations at zero temperature.

Contribution

It provides the first detailed analysis of vortex core states in mass-imbalanced superfluid mixtures using Bogoliubov-de Gennes equations.

Findings

Vortex core mainly occupied by light-mass fermions.

Heavy-mass fermions show significant density depletion at the core.

Contrasts with mass-balanced mixtures where densities are equally depleted.

Abstract

We analyze the vortex core states of two-species (mass imbalanced) superfluid fermion mixtures as a function of two-body binding energy in two dimensions. In particular we solve the Bogoliubov-de Gennes equations for a population balanced mixture of $^{6}$Li and $^{40}$K atoms at zero temperature. We find that the vortex core is mostly occupied by the light-mass ($^{6}$Li) fermions and that the core density of the heavy-mass ($^{40}$K) fermions is highly depleted. This is in contrast with the one-species (mass balanced) mixtures with balanced populations where an equal amount of density depletion is found at the vortex core for both pseudospin components.