HALL-EFFECT NEAR THE VORTEX-GLASS TRANSITION IN HIGH-TEMPERATURE SUPERCONDUCTORS

We discuss the Hall effect in the mixed state of type-II superconductors with an emphasis on the regime near the vortex-glass transition. This transition is argued to have a "hidden" particle-hole symmetry, and a new exponent is introduced to characterize the irrelevance of the particle-hole asymmetry. This leads to a natural explanation of the scaling of the Hall and longitudinal resistivities observed in YBa2Cu3O7. At the transition, the nonlinear Hall voltage is predicted to vary with a universal power of the current, and the linear ac Hall conductivity with a universal power of the frequency.