Current dissipation in thin superconducting wires: A numerical evaluation using the string method
Tiezheng Qian, Weiqing Ren, Ping Sheng
DOI 10.1103/PhysRevB.72.014512 · Physical Review B
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Abstract
Current dissipation in thin superconducting wires is numerically evaluated by using the string method, within the framework of time-dependent Ginzburg-Landau equation with a Langevin noise term. The most probable transition pathway between two neighboring current-carrying metastable states, continuously linking the Langer-Ambegaokar saddle-point state to a state in which the order parameter vanishes somewhere, is found numerically. We also give a numerically accurate algorithm to evaluate the prefactors for the rate of current-reducing transitions.
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