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Journal of Physics A Mathematical and General

Monte Carlo renormalisation of the five-dimensional Ising model

R. Hirsch, Peter Freche

Published Aug 21, 1985• 1 citation
Publisher

Abstract

Analyses the five-dimensional Ising model using Monte Carlo methods.
DOI
10.1088/0305-4470/18/12/038

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We solve the long-standing discrepancy between Monte Carlo results and the renormalization prediction for the Binder cumulant of the five-dimensional Ising model. Our conclusions are based on accurate Monte Carlo data for systems with linear sizes up to L=22. A detailed analysis of the corrections to scaling allows the extrapolation of these results to L=\infinity. Our determination of the critical point, K_c=0.1139150 (4), is more than an order of magnitude more accurate than previous estimates.