Phase transitions in the quantum Heisenberg model

Freeman J. Dyson; Elliott H. Lieb; Barry Simon

doi:10.1103/PhysRevLett.37.120

Phase transitions in the quantum Heisenberg model

Freeman J. Dyson, Elliott H. Lieb, Barry Simon

Mathematics

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

34 Scopus citations

Abstract

We rigorously prove that in three or more dimensions, the nearest-neighbor, simple-cubic, ferromagnetic, quantum Heisenberg model of spin S (=12, 1, ...) has a phase transition at nonzero temperature.

Original language	English (US)
Pages (from-to)	120-123
Number of pages	4
Journal	Physical review letters
Volume	37
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevLett.37.120
State	Published - 1976

All Science Journal Classification (ASJC) codes

Physics and Astronomy(all)

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10.1103/PhysRevLett.37.120

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title = "Phase transitions in the quantum Heisenberg model",

abstract = "We rigorously prove that in three or more dimensions, the nearest-neighbor, simple-cubic, ferromagnetic, quantum Heisenberg model of spin S (=12, 1, ...) has a phase transition at nonzero temperature.",

author = "Dyson, {Freeman J.} and Lieb, {Elliott H.} and Barry Simon",

year = "1976",

doi = "10.1103/PhysRevLett.37.120",

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volume = "37",

pages = "120--123",

journal = "Physical Review Letters",

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publisher = "American Physical Society",

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