Universal Amplitudes in the Finite-Size Scaling of Three-Dimensional Spin Models

Martin Weigel, W. Janke

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

In a Monte Carlo study using a cluster update algorithm we investigate finite-size scaling (FSS) of the correlation lengths of several representatives of the class of three-dimensional classical O(n) symmetric spin models on the geometry T2×R. For all the models we find strong evidence of a linear relation between FSS amplitudes and scaling dimensions when applying antiperiodic instead of periodic boundary conditions across the torus. This type of scaling relation can be proven analytically for systems on two-dimensional strips with periodic boundary conditions using conformal field theory.
Original languageEnglish
Pages (from-to)2318
JournalPhysical Review Letters
Volume82
DOIs
Publication statusPublished - 15 Mar 1999

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