An intermediate phase with slow decay of correlations in one dimensional 1/|x-y|2 percolation, Ising and Potts models

J. Z. Imbrie, C. M. Newman

Research output: Contribution to journalArticlepeer-review

Abstract

We rigorously establish the existence of an intermediate ordered phase in one-dimensional 1/|x-y|2 percolation, Ising and Potts models. The Ising model truncated two-point function has a power law decay exponent θ which ranges from its low (and high) temperature value of two down to zero as the inverse temperature and nearest neighbor coupling vary. Similar results are obtained for percolation and Potts models.

Original languageEnglish (US)
Pages (from-to)303-336
Number of pages34
JournalCommunications In Mathematical Physics
Volume118
Issue number2
DOIs
StatePublished - Jun 1988

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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