Comment on "Magnus Force in Superfluids and Superconductors"

TL;DR

This paper discusses the topological term in the effective action of Josephson junction arrays, which leads to a Magnus force on vortices, highlighting its dependence on particle-hole symmetry breaking.

Contribution

It clarifies the role of the topological term in the effective action and its impact on the Magnus force in superfluid and superconductor systems.

Findings

Topological term causes nonzero Magnus force

Magnus force magnitude depends on particle-hole asymmetry

Force is small due to small asymmetry parameter

Abstract

The effective action for the Josephson junction arrays should contain the topological term, which violates the particle-hole symmetry. This term is responsible for the nonzero Magnus force acting on the vortex. The Magnus force is however small because the parameter of the particle-hole asymmetry in superconductors is small.