Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models
- 28 November 1966
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 17 (22) , 1133-1136
- https://doi.org/10.1103/physrevlett.17.1133
Abstract
It is rigorously proved that at any nonzero temperature, a one- or two-dimensional isotropic spin- Heisenberg model with finite-range exchange interaction can be neither ferromagnetic nor antiferromagnetic. The method of proof is capable of excluding a variety of types of ordering in one and two dimensions.
Keywords
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