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.
- Received 17 October 1966
DOI:https://doi.org/10.1103/PhysRevLett.17.1133
©1966 American Physical Society
Erratum
Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models
N. D. Mermin and H. Wagner
Phys. Rev. Lett. 17, 1307 (1966)
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Letters from the Past - A PRL Retrospective
2008 marked PRL’s 50th anniversary. As part of the celebrations a collection of milestone Letters was started. The collection contains Letters that have made long-lived contributions to physics, either by announcing significant discoveries, or by initiating new areas of research.
