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Anomalous vortex dynamics in two-dimensional superconducting arrays

Hans Beck

DOI 10.1103/PhysRevB.49.6153 · Physical Review B

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Abstract

The dynamical response of a superconducting array, modeled by the two-dimensional classical XY model, is studied by using equations of motion for vortices and spin waves. The vortex conductivity σv is evaluated in the framework of Mori’s formalism. σv has a finite zero-frequency limit in the case of a spin dynamics corresponding to the resistively shunted junction model, but it goes to zero logarithmically with frequency for a Landau-Ginzburg dynamics. The latter behavior has been observed in recent experiments and computer simulations.

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