Boundary between Long-Range and Short-Range Critical Behavior in Systems with Algebraic Interactions

Erik Luijten*, Henk W J Blöte

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

81 Scopus citations

Abstract

We investigate phase transitions of two-dimensional Ising models with power-law interactions, using an efficient Monte Carlo algorithm. For slow decay, the transition is of the mean-field type; for fast decay, it belongs to the short-range Ising universality class. We focus on the intermediate range, where the critical exponents depend continuously on the power law. We find that the boundary with short-range critical behavior occurs for interactions depending on distance [Formula presented] as [Formula presented]. This answers a long-standing controversy between mutually conflicting renormalization-group analyses.

Original languageEnglish (US)
JournalPhysical review letters
Volume89
Issue number2
DOIs
StatePublished - Jan 1 2002

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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