Phase transition in superconducting arrays with external currents
Journal Article
·
· Physical Review, B: Condensed Matter; (United States)
- Department of Physics, Seoul National University, Seoul 151-742 (Korea)
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.
- OSTI ID:
- 6381005
- Journal Information:
- Physical Review, B: Condensed Matter; (United States), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 44:18; ISSN PRBMD; ISSN 0163-1829
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
665411* -- Basic Superconductivity Studies-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CRITICAL CURRENT
CURRENTS
DIFFERENTIAL EQUATIONS
ELECTRIC CURRENTS
EQUATIONS
FOKKER-PLANCK EQUATION
JOSEPHSON EFFECT
JUNCTIONS
LANGEVIN EQUATION
PARTIAL DIFFERENTIAL EQUATIONS
PHASE TRANSFORMATIONS
RENORMALIZATION
SUPERCONDUCTING JUNCTIONS
TWO-DIMENSIONAL CALCULATIONS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CRITICAL CURRENT
CURRENTS
DIFFERENTIAL EQUATIONS
ELECTRIC CURRENTS
EQUATIONS
FOKKER-PLANCK EQUATION
JOSEPHSON EFFECT
JUNCTIONS
LANGEVIN EQUATION
PARTIAL DIFFERENTIAL EQUATIONS
PHASE TRANSFORMATIONS
RENORMALIZATION
SUPERCONDUCTING JUNCTIONS
TWO-DIMENSIONAL CALCULATIONS