Magnetic Order in the Heisenberg Model
- 24 June 1974
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 32 (25), 1439-1442
- https://doi.org/10.1103/physrevlett.32.1439
Abstract
The molecular-field approximation (MFA) and the random-phase approximation (RPA) are shown to be unreliable in predicting the types of order in cubic Heisenberg magnets that include second-neighbor exchange. Anomalies in the Padé-approximant critical temperatures are found and traced to instabilities in the RPA and MFA. These instabilities lead to new types of order involving canted and perpendicular alignment of the spins.Keywords
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