Phys. Rev. Lett. 17, 1133–1136 (1966)

Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models

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N. D. Mermin^* and H. Wagner^†
Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York

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Received 17 October 1966; published in the issue dated 28 November 1966

It is rigorously proved that at any nonzero temperature, a one- or two-dimensional isotropic spin-S 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.

URL:

http://link.aps.org/doi/10.1103/PhysRevLett.17.1133

DOI:

10.1103/PhysRevLett.17.1133

^*Alfred P. Sloan Foundation Fellow.

^†Permanent address: Max-Planck Institute für Physik, München, Germany.

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Phys. Rev. Lett. 17, 1133–1136 (1966)

Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models

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