Phase transition in superconducting arrays with external currents
M. Y. Choi, Seunghwan Kim
DOI 10.1103/PhysRevB.44.10411 · Physical Review B
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Abstract
A two-dimensional superconducting array with applied external currents is studied in an analytical way. We obtain a Fokker-Planck equation from the Langevin equation ruling the time evolution of the system, and introduce a pseudo-Hamiltonian to describe the stationary solution of the Fokker-Planck equation. The pseudo-Hamiltonian is transformed into a Coulomb-gas Hamiltonian, which, via the renormalization-group technique, leads to the Kosterlitz-Thouless transition.
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