Calculation of giant fractional Shapiro steps in Josephson-junction arrays

Journal Article · Mon Feb 19 04:00:00 EST 1990 · Physical Review Letters; (USA)

DOI:https://doi.org/10.1103/PhysRevLett.64.962· OSTI ID:7005363

Lee, K H; Stroud, D; Chung, J S ^[1]

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

We calculate the rsponse of an {ital N}{times}{ital N} array of resistively shunted Josephson junctions to an imposed current {ital I}={ital I}{sub dc}+{ital I}{sub ac}sin(2{pi}{nu}{ital t}). In a transverse dc magnetic field of {ital p}/{ital q}=={ital f} flux quanta per plaquette of area, we find fractional giant Shapiro steps in the time-averaged voltage {l angle}{ital V}{r angle} at values {l angle}{ital V}{r angle}={ital nNh}{nu}/2{ital eq}, {ital n}=1,2,3,..., in agreement with the measurements of Benz {ital et} {ital al}. At {ital f}=1/5, 2/5, and 1/3, we find additional fractional steps at {l angle}{ital V}{r angle}={ital Nh}{nu}/(4{ital e}). A generalization of the model of Benz {ital et} {ital al}. accounts for both the fractional giant steps at {ital p}/{ital q} and the anomalous half-integer steps.

• OSTI ID: 7005363
• Journal Information: Physical Review Letters; (USA), Journal Name: Physical Review Letters; (USA) Vol. 64:8; ISSN PRLTA; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

426001* -- Engineering-- Superconducting Devices & Circuits-- (1990-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
AC SYSTEMS
BOUNDARY CONDITIONS
CONFIGURATION
COUPLING
CURRENTS
DC SYSTEMS
ELECTRIC CONDUCTIVITY
ELECTRIC CURRENTS
ELECTRIC POTENTIAL
ELECTRICAL PROPERTIES
ENERGY SYSTEMS
JOSEPHSON JUNCTIONS
JUNCTIONS
MAGNETIC FIELDS
MAGNETIC FLUX
PHYSICAL PROPERTIES
POWER SYSTEMS
RECTANGULAR CONFIGURATION
SQUARE CONFIGURATION
SUPERCONDUCTING JUNCTIONS
TEMPERATURE DEPENDENCE
TIME DEPENDENCE