Criticality in one dimension with inverse square-law potentials

E. Luijten, H. Meßingfeld

Research output: Contribution to journalArticlepeer-review

81 Scopus citations


The scaled order parameter for ferromagnetic Ising and three-state Potts chains were demonstrated using inverse square interactions. The critical properties were determined by combining renormalization-group arguments with numerical simulations of systems containing lattice sites. It was shown that the inverse square Ising and three-state Potts chain represented one-dimensional analog of Kosterlitz-Thouless transitions.

Original languageEnglish (US)
Pages (from-to)5305-5308
Number of pages4
JournalPhysical review letters
Issue number23
StatePublished - Jun 4 2001

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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