Monte Carlo studies of correlation length and hyperscaling in the three-dimensional Ising model

Pik Yin Lai, K. K. Mon

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

We report extensive Monte Carlo simulations and finite-size scaling analysis of the correlation length (L) for the spin-spin correlation function and the renormalized coupling (gL) of the simple-cubic Ising model with a wide range of lattice sizes (L96). New methods of analysis which avoid assumptions related to the correlation length were introduced. The exponents and 2- were estimated from separate analysis of L and gL, respectively. A value of *0.0010.07 for the Fisher exponent is obtained. This is consistent with a very small or no violations of hyperscalings.

Original languageEnglish
Pages (from-to)2608-2611
Number of pages4
JournalPhysical Review Letters
Volume62
Issue number22
DOIs
StatePublished - 1989

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