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Phase Transitions in the Quantum Heisenberg Model

Dyson, Freeman J. and Lieb, Elliott H. and Simon, Barry (1976) Phase Transitions in the Quantum Heisenberg Model. Physical Review Letters, 37 (3). pp. 120-123. ISSN 0031-9007. https://resolver.caltech.edu/CaltechAUTHORS:20180417-154001196

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Abstract

We rigorously prove that in three or more dimensions, the nearest-neighbor, simple-cubic, ferromagnetic, quantum Heisenberg model of spin S(= 1/2, 1, …) has a phase transition at nonzero temperature.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevLett.37.120DOIArticle
ORCID:
AuthorORCID
Lieb, Elliott H.0000-0001-5843-3587
Simon, Barry0000-0003-2561-8539
Additional Information:© 1976 American Physical Society. (Received 10 May 1976) It is a pleasure to thank J. Frohlich for valuable correspondence and J. Dames for doing the numerical calculations appearing in Table I. Research supported by U. S. National Science Foundation Grant No. GP-40768X. Research supported by U. S. National Science Foundation Grant No. MCS 75-21648. Alfred Sloan Fellow. Research supported by U. S. National Science Foundation Grant No. GP-39048.
Funders:
Funding AgencyGrant Number
NSFGP-40768X
NSFMCS 75-21648
Alfred P. Sloan FoundationUNSPECIFIED
NSFGP-39048
Issue or Number:3
Record Number:CaltechAUTHORS:20180417-154001196
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20180417-154001196
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:85917
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:18 Apr 2018 15:13
Last Modified:09 Mar 2020 13:19

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