Theory of Shapiro steps in Josephson-junction arrays and their topology

Journal Article · Fri Feb 01 04:00:00 EST 1991 · Physical Review, B: Condensed Matter; (USA)

DOI:https://doi.org/10.1103/PhysRevB.43.3720· OSTI ID:5904665

Kvale, M; Hebboul, S E ^[1]

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1. Physics Department, The Ohio State University, 174 West 18th Avenue, Columbus, Ohio 43210 (US)

A simple theory of Shapiro steps in a Josephson-junction (JJ) array immersed in a magnetic field is presented. It is argued that the system can be regarded as the superposition of a JJ array in zero field and a vortex lattice generated by the magnetic field. The subsystems obey the resistively-shunted-junction equations of motion, and interference effects result in steps at 1/{ital q},2/{ital q},. . . for a filling factor {ital p}/{ital q}. The exactness of the steps is shown to result from the topological quantization of the order parameter for dissipative systems.

• OSTI ID: 5904665
• Journal Information: Physical Review, B: Condensed Matter; (USA), Journal Name: Physical Review, B: Condensed Matter; (USA) Vol. 43:4; ISSN PRBMD; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

656100* -- Condensed Matter Physics-- Superconductivity
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CRITICAL CURRENT
CURRENTS
DIFFERENTIAL EQUATIONS
ELECTRIC CURRENTS
EQUATIONS
EQUATIONS OF MOTION
FILL FACTORS
JOSEPHSON JUNCTIONS
JUNCTIONS
MAGNETIC FIELDS
MATHEMATICS
ORDER PARAMETERS
PARTIAL DIFFERENTIAL EQUATIONS
SUPERCONDUCTING JUNCTIONS
SUPERCONDUCTORS
TOPOLOGY
TUNNEL EFFECT
TYPE-II SUPERCONDUCTORS