Numerical Evidence for the Existence of a Phase Transition in a Two-Dimensional Exchange-Interaction Model
- 1 March 1973
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 7 (5) , 2046-2050
- https://doi.org/10.1103/physrevb.7.2046
Abstract
High-temperature—low-field susceptibility series for the exchange-interaction model of ferromagnetism are analyzed by means of a reexpansion technique to obtain the ordering temperature. In particular, for all two-sublattice decomposible structures (e. g., linear chain, plain square, simple cubic, body-centered cubic) the formula reproduces our numerical results.
Keywords
This publication has 15 references indexed in Scilit:
- Spin-½ Heisenberg Ferromagnet on Cubic Lattices: Analysis of Critical Properties by a Transformation MethodPhysical Review B, 1971
- Phase Transitions in Two-Dimensional Spin SystemsCanadian Journal of Physics, 1971
- Absence of Ordering in Certain Isotropic SystemsJournal of Applied Physics, 1971
- Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg ModelsPhysical Review Letters, 1966
- Possibility of a Phase Transition for the Two-Dimensional Heisenberg ModelPhysical Review Letters, 1966
- Long-wavelength excitations and the Goldstone theorem in many-particle systems with ?broken symmetries?The European Physical Journal A, 1966
- High-Temperature Expansions-the Classical Heisenberg ModelPhysical Review Letters, 1966
- The Estimation of Antiferromagnetic Exchange InteractionsProceedings of the Physical Society, 1961
- On the Curie points and high temperature susceptibilities of Heisenberg model ferromagneticsMolecular Physics, 1958
- High Temperature SusceptibilitiesProceedings of the Physical Society. Section B, 1957