Kinetic inductance of Josephson-junction arrays: Dynamic and equilibrium calculations

Journal Article · Tue Nov 01 04:00:00 EST 1994 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.50.13632· OSTI ID:6946576

Yu, W; Stroud, D ^[1]

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1. Department of Physics, The Ohio State University, Columbus, Ohio 43210 (United States)

The low-frequency inverse kinetic inductance [ital L][sup [minus]1] of an overdamped junction array at temperature [ital T]=0 is shown to equal that of an equivalent impedance network. The [ital ij]th bond of the network has an inverse inductance (2[ital eE][sub [ital i][ital j]]/[h bar])cos([theta][sub [ital i]][sup 0][minus][theta][sub [ital j]][sup 0][minus][ital A][sub [ital i][ital j]]), where [ital E][sub [ital i][ital j]] is the Josephson coupling energy of the [ital ij]th bond, [theta][sub [ital i]][sup 0] is the ground-state phase of the grain [ital i], and [ital A][sub [ital i][ital j]] is the usual magnetic phase factor. Using this theorem, we calculate [ital L][sup [minus]1] for square lattices as large as 180[times]180. The calculated [ital L][sup [minus]1] agrees well with the [ital T]=0 limit of the helicity modulus [gamma] calculated by conventional Monte Carlo techniques. In triangular arrays, the Monte Carlo calculation of [gamma] yields a series of peaks at frustrations [ital f]=1/2(1[minus]1/[ital N]), where [ital N] is an integer [ge]2, consistent with experiments.

• DOE Contract Number: FG02-90ER45427
• OSTI ID: 6946576
• Journal Information: Physical Review, B: Condensed Matter; (United States), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 50:18; ISSN PRBMDO; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

665412* -- Superconducting Devices-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CALCULATION METHODS
COUPLING
DYNAMICS
ELECTRICAL PROPERTIES
ENERGY LEVELS
EQUILIBRIUM
GROUND STATES
INDUCTANCE
JOSEPHSON JUNCTIONS
JUNCTIONS
MECHANICS
MONTE CARLO METHOD
PHYSICAL PROPERTIES
SUPERCONDUCTING JUNCTIONS
TEMPERATURE ZERO K