Vortex Dynamics and the Hall-Anomaly: a Microscopic Analysis
Anne van Otterlo, Mikhail Feigel'man, Vadim Geshkenbein, Gianni Blatter
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.