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Vortex Dynamics and the Hall-Anomaly: a Microscopic Analysis

arXiv:supr-con/9507004 · doi:10.1103/PhysRevLett.75.3736

Abstract

We present a microscopic derivation of the equation of motion for a vortex in a superconductor. A coherent view on vortex dynamics is obtained, in which {\it both} hydrodynamics {\it and} the vortex core contribute to the forces acting on a vortex. The competition between these two provides an interpretation of the observed sign change in the Hall angle in superconductors with mean free path $l$ of the order of the coherence length $ξ$ in terms of broken particle-hole symmetry, which is related to details of the microscopic mechanism of superconductivity.

12 pages, latex