Index of content:
Volume 29, Issue 1, January 2003
- SUPERCONDUCTIVITY, INCLUDING HIGH-TEMPERATURE SUPERCONDUCTIVITY
29(2003); http://dx.doi.org/10.1063/1.1542373View Description Hide Description
A theoretical study is made of the odd resistive response (i.e., having odd parity with respect to inversion of the magnetic field) of a superconductor in the mixed state in the presence of bianisotropic pinning and a small isotropic Hall effect. The components of the odd magnetoresistivity in the directions longitudinal and transverse to the current are obtained in a two-dimensional stochastic model of bianisotropic pinning based on the Fokker–Planck equations in the approximation of noninteracting vortices and to a first approximation in the small Hall constant. Both naturally occurring and artificially produced realizations of this model are possible. It is shown that the nonlinear anisotropicproperties of the magnetoresistivities are naturally related to the principal critical currents and saturation currents of the system under study. Scaling relations for the Hall conductivity in terms of the longitudinal and transverse magnetoresistivities obtained are discussed, and scaling and its stability in the basal and geometries of the problem are examined.