Absence of Magnetic Ordering in One and Two Dimensions in a Many-Band Model for Interacting Electrons in a Metal
- 10 July 1968
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 171 (2), 513-515
- https://doi.org/10.1103/physrev.171.513
Abstract
The Bogoliubov inequality is used to prove the absence of spontaneous magnetic ordering in one and two dimensions for a many-band model for electrons in a metal interacting via the Coulomb and the exchange interactions. The discussion follows closely Mermin and Wagner's recent proof of a similar theorem for the Heisenberg model of an interacting spin system.Keywords
This publication has 5 references indexed in Scilit:
- Existence of Long-Range Order in One and Two DimensionsPhysical Review B, 1967
- Absence of Long-Range Overhauser Spin-Density Waves in One or Two DimensionsPhysical Review B, 1967
- Magnetic ordering in one and two dimensional systemsPhysics Letters A, 1967
- Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg ModelsPhysical Review Letters, 1966
- Theory of Ferromagnetism and the Ordering of Electronic Energy LevelsPhysical Review B, 1962