Magnetic-flux dependence of the resistive transition in a square Josephson-junction array

Journal Article · Fri Jul 01 04:00:00 EDT 1988 · Phys. Rev. B: Condens. Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.38.63· OSTI ID:6988531

Carini, J P

We report measurements of the resistive behavior as a function of the perpendicular magnetic flux in a square proximity-coupled Josephson-junction array. The array was made by a novel ion-beam sputtering technique using the University of Chicago scanning ion microscope. The magnetic flux produces a uniform frustration of phase ordering between the superconducting islands in the array. We have measured both the Ohmic and non-Ohmic resistances as a function of temperature at several values of the frustration index f = phi/phi/sub 0/, the ratio of the applied flux phi to the superconducting flux quantum phi/sub 0/ = hc/2e. We compare the resistive transitions in the array with no frustration at f = 0 and f = 1, with weak frustration at f = 0.05, with commensurate frustration at f = (1/2, and with incommensurate frustration at f = 1-1/tau and at f = 1/tau (tau = (1+ ..sqrt..5 )/2, the golden ratio). We find that the transitions at both f = 0 and f = 1 resemble the Kosterlitz-Thouless transition of a two-dimensional superfluid. The transition at f = 0.05 is much broader and is not described by the Kosterlitz-Thouless theory. Instead, the resistance has a pinned flux-flow behavior at low temperatures. The transitions at f = (1/2 and the irrational frustrations are similar to each other but different from the unfrustrated transitions, a result which differs from the expectations of arguments based on the ground-state properties of the array for those fluxes. Our data support the idea that some type of freezing occurs for incommensurate frustration; however, we did not observe the hysteretic effects one might expect to see when cooling and heating through a glass transition.

• Research Organization: Department of Physics and The James Franck Institute, The University of Chicago, Chicago, Illinois 60637
• OSTI ID: 6988531
• Journal Information: Phys. Rev. B: Condens. Matter; (United States), Journal Name: Phys. Rev. B: Condens. Matter; (United States) Vol. 38:1; ISSN PRBMD
• Country of Publication: United States
• Language: English

Related Subjects

656100* -- Condensed Matter Physics-- Superconductivity
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
BEAMS
ELECTRIC CONDUCTIVITY
ELECTRICAL PROPERTIES
ION BEAMS
JOSEPHSON JUNCTIONS
JUNCTIONS
MAGNETIC FIELDS
PHASE TRANSFORMATIONS
PHYSICAL PROPERTIES
SPUTTERING
SUPERCONDUCTING JUNCTIONS
TEMPERATURE DEPENDENCE