We consider the problem of the depinning of a weakly driven ($F\ll F_{ c}$) pancake vortex from a columnar defect in a Josephson-coupled superconductor, where $F$ denotes the force acting on the vortex ($F_{ c}$ is the critical force). The dynamics of the vortex is supposed to be of the Hall type. The Euclidean action $S_{ Eucl}(T)$ is calculated in the entire temperature range; the result is universal and does not depend on the detailed form of the pinning potential. We show that the transition from quantum to classical behavior is second-order like with the temperature $T_{ c}$ of the transition scaling like $F^{ { 4}/{ 3}}.$ Special attention is paid to the regime of applicability of our results, in particular, the influence of the large vortex mass appearing in the superclean limit is discussed.
Categories: cond-mat.supr-con cond-mat.stat-mech