Effect of pinning on the vortex Hall resistivity

We demonstrate that pinning strongly renormalizes both longitudinal and Hall resistivity. Using a simple model for the pinning potential we show that the magnitude of the vortex contribution to the Hall voltage decreases with an increase in the pinning strength or with a decrease in transport current. The Hall resistivity rho(perpendicular to) does not scale generally as rho(parallel to)(-2). A strong enough pinning can even result in the sign reversal of rho(perpendicular to). (C) 2000 Published by Elsevier Science B.V. All rights reserved.