Hall Effect in the Vortex State of Dirty Type-II Superconductors

The off-diagonal component of the conductivity tensor of dirty type-II superconductors is calculated in the magnetic field near H-c2. Contributions come from both the fluctuation and static parts. The former is the Ginzburg-Landau (GL) term, whose origin is the motion of Cooper pairs, and is obtained to the order of T/epsilon(F) as the result of the energy dependence of the density of states near the Fermi surface. The latter is obtained to the order of omega(c)tau. By use of the diagonal component of the conductivity tensor given by Thompson, Takayama, and Ebisawa, the derivative of the Hall angle with respect to H is calculated; it agrees qualitatively with the observed behavior.