Phase transitions and reflection positivity. II. Lattice systems with short-range and Coulomb interactions

Jürg Fröhlich, Robert B. Israel, Elliott H. Lieb, Barry Simon

Research output: Contribution to journalArticle

77 Scopus citations

Abstract

We discuss applications of the abstract scheme of part I of this work, in particular of infrared bounds and chessboard estimates, to proving the existence of phase transitions in lattice systems. Included are antiferromagnets in an external field, hard-core exclusion models, classical and quantum Coulomb lattice gases, and six-vertex models.

Original languageEnglish (US)
Pages (from-to)297-347
Number of pages51
JournalJournal of Statistical Physics
Volume22
Issue number3
DOIs
StatePublished - Mar 1 1980

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Keywords

  • Phase transitions
  • chessboard estimates
  • contours
  • reflection positivity

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