Magnetotransport theory of layered superconductors in the flux flow
steady state is revisited. Longstanding controversies concerning
observed Hall sign reversals are resolved. The conductivity separates
into a Bardeen-Stephen vortex core contribution, and a Hall conductivity
due to moving vortex charge. This charge, which is responsible for Hall
anomaly, diverges logarithmically at weak magnetic field. Its values can
be extracted from magetoresistivity data by extrapolation of vortex core
Hall angle from the normal phase. Hall anomalies in
YBa_22Cu_33O_{7}7,
Bi_22Sr_22CaCu_22O_{8-x}8−x,
and Nd_{1.85}1.85Ce_{0.15}0.15CuO_{4-y}4−y
data are consistent with theoretical estimates based on doping
dependence of London penetration depths. In the appendices, we derive
the Streda formula for the hydrodynamical Hall conductivity, and refute
previously assumed relevance of Galilean symmetry to Hall anomalies.
Instability of flux flow and production of vortex-antivortex pairs by current-driven Josephson vortices in layered superconductors
