From Effective BCS Action to Vortex Dynamics
G.E. Volovik
TL;DR
This paper analyzes the topological effective action in BCS superconductors, resolving previous controversies and calculating the vortex transverse force in specific limits.
Contribution
It clarifies the topological term in the BCS effective action and resolves discrepancies between prior conflicting results.
Findings
Calculated the vortex transverse force in the smooth core limit
Resolved controversy between previous topological term calculations
Provided insights into vortex dynamics in BCS systems
Abstract
The topological term in the effective action for the electrically neutral BCS system is discussed. It is applied for the calculation of the transverse force acting on the vortex in the limit of the smooth vortex core and vanishing interlevel distance in the vortex core. The controversy between the topological terms in cond-mat/9703124 and cond-mat/9411047 is resolved.
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