QUASI-CLASSICAL APPROACH TO TRANSPORT IN THE VORTEX STATE AND THE HALL-EFFECT

We derive generalized quasiclassical transport equations that include the terms responsible for the Hall effect in the vortex state of a cle an type-II superconductor, and calculate the conductivity tensor for a n s-wave superconductor in the high-field regime. We find that below t he superconducting transition the contribution to the transverse condu ctivity due to dynamical fluctuations of the order parameter is compen sated by the modification of the quasiparticle contribution. In this r egime the nonlinear behavior of the Hall angle is governed by the chan ge in the effective quasiparticle scattering rate due to the reduction in the density of states at the Fermi level. The connection with expe rimental results is discussed. [S0163-1829(98)06117-7].