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Dissipative dynamics of quantum vortices in superconducting arrays

Mahn-Soo Choi, Sung-Ik Lee, M. Y. Choi

DOI 10.1103/PhysRevB.57.2720 · Physical Review B

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Abstract

We consider a two-dimensional array of ultrasmall superconducting grains, weakly coupled by Josephson junctions with large charging energy. We start from an effective action based on a microscopic tunneling Hamiltonian, which includes quasiparticle degrees of freedom, and study the resulting dissipative dynamics of quantum vortices. The equation of motion for a single vortex is deduced, and compared with a commonly adopted phenomenological model.

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