Boundary between long-range and short-range critical behavior in systems with algebraic interactions.

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 r as r(-15/4). This answers a long-standing controversy between mutually conflicting renormalization-group analyses.

• Publication year

  2001

• Venue

  Physical Review Letters

• Publication date

  2001-12-27

• Fields of study

  Medicine, Physics

• Identifiers
  DOI 10.1103/PhysRevLett.89.025703arXiv cond-mat/0112472PMID 12097006
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

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