Arrays of resistively shunted Josephson junctions in magnetic fields

Journal Article · Thu Jul 01 04:00:00 EDT 1993 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.48.322· OSTI ID:6367204

Kim, S ^[1]; Choi, M Y ^[2]

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1. Department of Physics, Seoul National University, Seoul 151-742 (Korea, Republic of)
2. Department of Physics, Seoul National University, Seoul 151-742 (Korea, Republic of) Department of Physics, University of Washington, Seattle, Washington 98195 (United States)

A two-dimensional array of resistively shunted Josephson junctions in the presence of both applied external currents and transverse magnetic fields is studied both analytically and numerically. The dynamics of the system is specified by a set of Langevin equations, and leads to a stationary state, which can be described by an effective Hamiltonian. The latter is then transformed into a Coulomb-gas Hamiltonian, which is, via the renormalization-group technique, shown to exhibit a phase transition similar to that in the absence of external currents: Small external currents merely lower the transition temperature. The effective Hamiltonian further allows us to calculate the current-voltage characteristics, which reveals Ohmic behavior in the low-current regime. We also present results of extensive numerical simulations, which confirm both the nature of the phase transition and the linear current-voltage relation obtained analytically.

• OSTI ID: 6367204
• Journal Information: Physical Review, B: Condensed Matter; (United States), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 48:1; ISSN 0163-1829; ISSN PRBMDO
• Country of Publication: United States
• Language: English

Related Subjects

665410* -- Superconductivity-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANALYTICAL SOLUTION
CURRENTS
ELECTRIC CURRENTS
EQUATIONS
JOSEPHSON JUNCTIONS
JUNCTIONS
KOSTERLITZ-THOULESS THEORY
LANGEVIN EQUATION
MAGNETIC FIELDS
NUMERICAL SOLUTION
PHASE TRANSFORMATIONS
PHYSICAL PROPERTIES
SIMULATION
SUPERCONDUCTING JUNCTIONS
THERMODYNAMIC PROPERTIES
TRANSITION TEMPERATURE