Spin systems on hierarchical lattices. Introduction and thermodynamic limit

Robert B. Griffiths; Miron Kaufman

Spin systems on hierarchical lattices. Introduction and thermodynamic limit

Robert B. Griffiths
, Miron Kaufman

Cleveland State University

Carnegie Mellon University

Research output: Contribution to journal › Article › peer-review

Abstract

A number of exactly soluble models in statistical mechanics can be produced with the use of spins interacting with nearest neighbors on a hierarchical lattice. A general definition and several examples of such lattices are given, and the topological properties of one of these, the "diamond" lattice, are discussed in detail. It is shown that the free energy has a well-defined thermodynamic limit for a large class of discrete spin models on hierarchical lattices.

Original language	American English
Journal	Physical Review B
Volume	26
State	Published - Nov 1 1982

Disciplines

Physics

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Cite this

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title = "Spin systems on hierarchical lattices. Introduction and thermodynamic limit",

abstract = " A number of exactly soluble models in statistical mechanics can be produced with the use of spins interacting with nearest neighbors on a hierarchical lattice. A general definition and several examples of such lattices are given, and the topological properties of one of these, the {"}diamond{"} lattice, are discussed in detail. It is shown that the free energy has a well-defined thermodynamic limit for a large class of discrete spin models on hierarchical lattices.",

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AU - Kaufman, Miron

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AB - A number of exactly soluble models in statistical mechanics can be produced with the use of spins interacting with nearest neighbors on a hierarchical lattice. A general definition and several examples of such lattices are given, and the topological properties of one of these, the "diamond" lattice, are discussed in detail. It is shown that the free energy has a well-defined thermodynamic limit for a large class of discrete spin models on hierarchical lattices.

M3 - Article

VL - 26

JO - Physical Review B

JF - Physical Review B

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