Possible description of domain walls in two-dimensional spin glasses by stochastic Loewner evolutions

Denis Bernard, Pierre Le Doussal, A. Alan Middleton

Research output: Contribution to journalArticle

49 Scopus citations

Abstract

Domain walls for spin glasses are believed to be scale invariant; a stronger symmetry, conformal invariance, has the potential to hold. The statistics of zero-temperature Ising spin glass domain walls in two dimensions are used to test the hypothesis that these domain walls are described by a Schramm-Loewner evolution SLEκ. Multiple tests are consistent with SLEκ, where κ=2.32±0.08. Both conformal invariance and the domain Markov property are tested. The latter does not hold in small systems, but detailed numerical evidence suggests that it holds in the continuum limit.

Original languageEnglish (US)
Article number020403
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume76
Issue number2
DOIs
StatePublished - Jul 10 2007

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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