Vortex Mass in BCS systems: Kopnin and Baym-Chandler contributions
G.E. Volovik
TL;DR
This paper compares the Kopnin and Baym-Chandler vortex masses in BCS systems, showing they originate from the same normal component and are calculated using linear response and hydrodynamical methods.
Contribution
It clarifies the common origin of the two vortex mass contributions and provides calculations for a generic vortex core model.
Findings
Kopnin and Baym-Chandler masses share the same origin.
Both masses are calculated for a generic vortex core model.
The superclean limit allows exact linear response calculation.
Abstract
The Kopnin mass and the Baym-Chandler mass of the vortex have the same origin. Both represent the mass of the normal component trapped by the vortex. The Kopnin mass of the vortex is formed by quasiparticles localized in the vicinity of the vortex. In the superclean limit it is calculated as linear response exactly in the same way as the density of the normal component is calculated in homogeneous superfluid. The Baym-Chandler mass is the hydrodynamical (associated) mass trapped by vortex. It is analogous to the normal component formed by inhomogeneities, such as pores and impurities. Both contributions are calculated for the generic model of the continuous vortex core.
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