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Thermally activated Hall creep of flux lines from a columnar defect

D. A. Gorokhov·G. Blatter
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Abstract

We analyse the thermally activated depinning of an elastic string (line tension $ε$) governed by Hall dynamics from a columnar defect modelled as a cylindrical potential well of depth $V_{0}$ for the case of a small external force $F.$ An effective 1D field Hamiltonian is derived in order to describe the 2D string motion. At high temperatures the decay rate is proportional to $F^{{5}/{2}}T^{-{1}/{2}} \exp{\left [{F_{0}}/{F}-{U(F)}/{T}\right ]},$ with $F_{0}$ a constant of order of the critical force and $U(F) \sim{\left ({εV_{0}})}^{{1}/{2}}{V_{0}/{F}}$ the activation energy. The results are applied to vortices pinned by columnar defects in superclean superconductors.

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D. A. Gorokhov, G. Blatter. 1998-02-02. Thermally activated Hall creep of flux lines from a columnar defect. https://doi.org/10.1103/physrevb.57.3577

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