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

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

doi:10.1007/BF01014646

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

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

Mathematics

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86 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 language	English (US)
Pages (from-to)	297-347
Number of pages	51
Journal	Journal of Statistical Physics
Volume	22
Issue number	3
DOIs	https://doi.org/10.1007/BF01014646
State	Published - Mar 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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10.1007/BF01014646

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title = "Phase transitions and reflection positivity. II. Lattice systems with short-range and Coulomb interactions",

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.",

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author = "J{\"u}rg Fr{\"o}hlich and Israel, {Robert B.} and Lieb, {Elliott H.} and Barry Simon",

year = "1980",

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AU - Lieb, Elliott H.

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N2 - 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.

AB - 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.

KW - Phase transitions

KW - chessboard estimates

KW - contours

KW - reflection positivity

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

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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