Flux-flow resistivity in model high-temperature superconductors

Journal Article · Tue Sep 01 04:00:00 EDT 1992 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.46.5699· OSTI ID:7082229

Lee, K H; Stroud, D ^[1]

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

We calculate the resistivity of a model high-temperature superconductor'' consisting of a simple-cubic arrangement of superconducting grains'' coupled together by resistively shunted Josephson junctions. The effects of temperature are simulated by Langevin noise in each junction. We find a strong magnetoresistance for magnetic fields both parallel and perpendicular to the applied current, in agreement with the results of Kwok {ital et} {ital al}. (Phys. Rev. Lett. 64, 966 (1990)). When the magnetic field {bold B} and the current density {bold J} make an angle {phi}, the resistivity at sufficiently high temperatures roughly obeys the law {rho}({ital B},{ital T},{phi})={rho}{sub 0}({ital B},{ital T})+{Delta}{rho} sin{sup 2}({phi}) in agreement with experiment. The resistivity is strongly dependent on current density. At zero magnetic field it is found to satisfy the scaling relation {ital E}={xi}{sup {minus}1{minus}{ital z}F}{sub {plus minus}}({ital J}{xi}{sup {ital d}{minus}1}{Phi}{sub 0}/{ital ck}{sub {ital B}T}), where {ital E} is the electric field, {ital c} is the speed of light, {ital J} is the current density, {ital d} is the dimensionality, and {ital F}{sub {plus minus}} are scaling functions which apply above and below {ital T}{sub {ital c}}. The dynamical critical exponent is estimated for this model as 1.5{plus minus}0.5.

• DOE Contract Number: FG02-90ER45427
• OSTI ID: 7082229
• Journal Information: Physical Review, B: Condensed Matter; (United States), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 46:9; ISSN 0163-1829; ISSN PRBMD
• Country of Publication: United States
• Language: English

Related Subjects

665411* -- Basic Superconductivity Studies-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
COMPUTER CALCULATIONS
CRYSTAL LATTICES
CRYSTAL STRUCTURE
CUBIC LATTICES
CURRENT DENSITY
ELECTRIC CONDUCTIVITY
ELECTRICAL PROPERTIES
HIGH-TC SUPERCONDUCTORS
JOSEPHSON JUNCTIONS
JUNCTIONS
MAGNETORESISTANCE
MATHEMATICAL MODELS
PHYSICAL PROPERTIES
SCALING LAWS
SUPERCONDUCTING JUNCTIONS
SUPERCONDUCTORS