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

Michel J. P. Gingras

DOI 10.1103/PhysRevB.43.13747 · Physical Review B

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Abstract

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 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.

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