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. doi:10.1103/PhysRevLett.37.120. 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.
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| 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. | ||||||||||
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| Issue or Number: | 3 | ||||||||||
| DOI: | 10.1103/PhysRevLett.37.120 | ||||||||||
| 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: | 15 Nov 2021 20:33 |
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