Spectral Flow and Vortex Dynamics in Superfluids, Superconductors and Ferromagnets

Abstract

We discuss the nondissipative Magnus-type force acting on linear defects in Fermi systems, such as Abrikosov vortices in superconductors, singular and continuous vortices in superfluid phases of ${}^3$He, magnetic vortices and skyrmions in ferromagnets. Spectral flow of fermion zero modes in the vortex core gives an essential contribution to the nondissipative force, which is confirmed in Manchester experiments on rotating ${}^3$He-B. The spectral flow effect is closely related to the angular momentum paradox.

Contributed paper to XXI International Conference on Low Temperature Physics, August 8-14, 1996. LaTeX file, 5 pages, no figures

References in corpus (3)

• Vortex Dynamics and the Hall-Anomaly: a Microscopic Analysis
• Continuum quantum ferromagnets at finite temperature and the Quantum Hall effect
• Spectral Flow in Vortex Dynamics of 3He-B and Superconductors

Cited by in corpus (3)

• Frequency and temperature dependence of the anomalous Hall conductivity in a chiral px+ipy superconductor with impurities
• Overlap integral for quantum skyrmions
• Dynamics of a Vortex in Two-Dimensional Superfluid He3-A: Force Caused by the l-Texture