Phase transition in superconducting arrays with external currents
- 1 November 1991
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 44 (18) , 10411-10413
- https://doi.org/10.1103/physrevb.44.10411
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.Keywords
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