Abstract
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.
Keywords
AntiferromagnetismFerromagnetismIsotropyHeisenberg modelCondensed matter physicsPhysicsSpin (aerodynamics)Exchange interactionVariety (cybernetics)Quantum mechanicsMathematicsThermodynamics
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Publication Info
- Year
- 1966
- Type
- article
- Volume
- 17
- Issue
- 22
- Pages
- 1133-1136
- Citations
- 7906
- Access
- Closed
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Cite This
N. David Mermin,
Hermann‐Josef Wagner
(1966).
Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models.
Physical Review Letters
, 17
(22)
, 1133-1136.
https://doi.org/10.1103/physrevlett.17.1133
Identifiers
- DOI
- 10.1103/physrevlett.17.1133