Effects of Pinning on the Flux Flow Hall Resistivity

Abstract

We demonstrate that pinning strongly renormalizes both longitudinal and Hall resistivity in the flux flow regime. Using a simple model for the pinning potential we show that the magnitude of the vortex contribution to the Hall voltage decreases with increase in the pinning strength. The Hall resistivity ${\ensuremath{\rho}}_{\mathrm{xy}}$ scales as ${\ensuremath{\rho}}_{\mathrm{xx}}^{2}$ only for a weak pinning. On the contrary, a strong pinning breaks the scaling relation and can even result in a sign reversal of ${\ensuremath{\rho}}_{\mathrm{xy}}$.