Real-space renormalization-group study of random-superconductor models

Journal Article · Sat Jun 01 04:00:00 EDT 1991 · Physical Review, B: Condensed Matter; (USA)

DOI:https://doi.org/10.1103/PhysRevB.43.13747· OSTI ID:5570551

Gingras, M J.P. ^[1]

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1. Laboratoire de Physique Statistique, Ecole Normale Superieure, 24 rue Lhomond, 75231 Paris CEDEX 05, France (FR)

A zero-temperature Migdal-Kadanoff renormalization-group scheme is used to investigate two classical spin-glass lattice models of a random superconductor in a magnetic field. We show that the two models considered here become the same under renormalization and belong to a different universality class from the Ising and {ital XY} spin glasses. We find that, in contrast with results from recent Monte Carlo simulations, the lower critical dimension for a nonzero-temperature vortex-glass transition in a random superconductor is greater than 3.

• OSTI ID: 5570551
• Journal Information: Physical Review, B: Condensed Matter; (USA), Journal Name: Physical Review, B: Condensed Matter; (USA) Vol. 43:16; ISSN 0163-1829; ISSN PRBMD
• Country of Publication: United States
• Language: English

Related Subjects

656100* -- Condensed Matter Physics-- Superconductivity
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ABRIKOSOV THEORY
CRYSTAL MODELS
ISING MODEL
MAGNETIC FIELDS
MAGNETIC FLUX
MATHEMATICAL MODELS
PHASE STUDIES
RANDOMNESS
RENORMALIZATION
SPIN GLASS STATE
STRUCTURAL MODELS
SUPERCONDUCTORS
TYPE-I SUPERCONDUCTORS