Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models
N. David MerminLaboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New YorkHermann‐Josef WagnerLaboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York
1966en
ABI
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.
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