Possibility of a Phase Transition for the Two-Dimensional Heisenberg Model
- 24 October 1966
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 17 (17) , 913-915
- https://doi.org/10.1103/physrevlett.17.913
Abstract
We point out that the existence of a phase transition-as indicated by extrapolation from high-temperature expansions-is as well-founded for two-dimensional lattices with nearest-neighbor ferromagnetic Heisenberg interactions as for three-dimensional lattices, and that the "well-known result" that there exists no phase transition in two dimensions is not a valid conclusion from the standard spin-wave argument.Keywords
This publication has 7 references indexed in Scilit:
- Spin WavesPublished by Springer Nature ,1966
- An application of Padé approximants to Heisenberg ferromagnetism and antiferromagnetismProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1963
- Effect of Change of Spin on the Critical Properties of the Ising and Heisenberg ModelsPhysical Review B, 1962
- On the Curie points and high temperature susceptibilities of Heisenberg model ferromagneticsMolecular Physics, 1958
- Spin WavesReviews of Modern Physics, 1958
- Time-Dependent Correlations between Spins and Neutron Scattering in Ferromagnetic CrystalsPhysical Review B, 1954
- Zur Theorie des FerromagnetismusThe European Physical Journal A, 1930