Dynamic vortex mass in clean Fermi superfluids and superconductors

TL;DR

This paper calculates the tensorial dynamic vortex mass in clean Fermi superfluids and superconductors, revealing how it varies with quasiparticle mean free time and differs between s- and d-wave pairing symmetries.

Contribution

It introduces a comprehensive calculation of the vortex mass tensor considering quasiparticle scattering, extending understanding of vortex dynamics in clean Fermi superfluids and superconductors.

Findings

Vortex mass is tensorial in clean Fermi superfluids.

Diagonal component dominates in the long mean free time limit.

Off-diagonal component becomes significant in the moderately clean regime.

Abstract

We calculate the dynamic vortex mass for clean Fermi superfluids including both s- and d-wave superconductors as a response to a vortex acceleration. Assuming a finite quasiparticle mean free time, the vortex mass appears to be a tensor. The diagonal component dominates in the limit of long mean free time while the off-diagonal mass takes over in the moderately clean regime.