Finite-size scaling study of the two-dimensional Ising spin glass

David A. Huse, I. Morgenstern

Research output: Contribution to journalArticle

31 Scopus citations

Abstract

We have calculated finite-size correlation lengths for strips of the square-lattice Ising spin glass using the transfer-matrix method. In order to minimize sampling errors we study strip lengths up to 5×106 lattice spacings. A phenomenological renormalization-group analysis indicates that there are strong corrections to simple power-law scaling near the zero-temperature critical point, as is to be expected near a lower critical dimension. We examine models with Gaussian, exp(-J2/2), and exponential, exp(-J), distributions of couplings; the Gaussian distribution shows stronger finite-size corrections. The correlation-length exponent is estimated to be =4.20.5, although we do not want to rule out the possibility that is significantly larger than this.

Original languageEnglish (US)
Pages (from-to)3032-3034
Number of pages3
JournalPhysical Review B
Volume32
Issue number5
DOIs
StatePublished - Jan 1 1985
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics

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