Giant Shapiro steps in Josephson-junction arrays

Journal Article · Fri Jun 01 00:00:00 EDT 1990 · Physical Review, B: Condensed Matter; (USA)

DOI:https://doi.org/10.1103/PhysRevB.41.11634· OSTI ID:6937668

Halsey, T C ^[1]

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1. The James Franck Institute and Department of Physics, The University of Chicago, 5640 South Ellis Avenue, Chicago, Illinois 60637 (USA)

Giant Shapiro steps have recently been observed in the {ital I}-{ital V} characteristics of Josephson-junction arrays, both with and without transverse magnetic fields. For magnetic fluxes per unit cell of the array {Phi}=({ital p}/{ital q}){Phi}{sub 0}, these steps occur at voltages per unit cell of {h bar}{omega}/2{ital eq}, where {omega} is the frequency of the rf field. I present a calculation of this effect, restricted to certain values of {ital f}={ital p}/{ital q} and certain current directions within the lattice. This calculation leads to results concerning the width of steps as a function of {ital q} and as a function of the amplitude of the driving field. It also leads to a prediction of subharmonic steps, at voltages of ({h bar}{omega}/2{ital e})({ital n}/{ital qm}).

• OSTI ID: 6937668
• Journal Information: Physical Review, B: Condensed Matter; (USA), Journal Name: Physical Review, B: Condensed Matter; (USA) Vol. 41:16; 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
ELECTRIC CONDUCTIVITY
ELECTRICAL PROPERTIES
HAMILTONIANS
JOSEPHSON JUNCTIONS
JUNCTIONS
MAGNETIC FIELDS
MATHEMATICAL OPERATORS
PHYSICAL PROPERTIES
QUANTUM OPERATORS
SUPERCONDUCTING JUNCTIONS