Work

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

Year: 2002

Type: article

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

Source: Physical Review Letters

DOI: 10.1103/physrevlett.89.025703

Authors: Erik Luijten, Henk W. J. Blöte

Institutions: University of Illinois Urbana-Champaign, University of Illinois System, Leiden University, Delft University of Technology

Language: English

Topic: Theoretical and Computational Physics

Subfield: Condensed Matter Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2169010042

FWCI: 2.446

Cites: 25

Cited by: 116

Related to: 10