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

Journal Article · Sat Jun 01 00:00:00 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), Vol. 43:16; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

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