Journal ArticleDOI
Possibility of a Phase Transition for the Two-Dimensional Heisenberg Model
H. E. Stanley,T. A. Kaplan +1 more
About:
This article is published in Physical Review Letters.The article was published on 1966-10-24. It has received 307 citations till now. The article focuses on the topics: Heisenberg model & Phase transition.read more
Citations
More filters
Journal ArticleDOI
Ordering, metastability and phase transitions in two-dimensional systems
TL;DR: In this article, a new definition of order called topological order is proposed for two-dimensional systems in which no long-range order of the conventional type exists, and the possibility of a phase transition characterized by a change in the response of the system to an external perturbation is discussed in the context of a mean field type of approximation.
Journal ArticleDOI
Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models
N. D. Mermin,Herbert Wagner +1 more
TL;DR: In this paper, 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.
Journal ArticleDOI
The theory of equilibrium critical phenomena
TL;DR: The theory of critical phenomena in systems at equilibrium is reviewed at an introductory level with special emphasis on the values of the critical point exponents α, β, γ,..., and their interrelations as mentioned in this paper.
Journal ArticleDOI
Experiments on simple magnetic model systems
L.J. de Jongh,A.R. Miedema +1 more
TL;DR: In this article, a review of the theoretical and experimental results obtained on simple magnetic model systems on magnetic lattices of dimensionality 1, 2, and 3 is presented, with particular attention paid to the approximation of these model systems in real crystals, viz how they can be realized or be expected to exist in nature.
Journal ArticleDOI
Duality in Generalized Ising Models and Phase Transitions without Local Order Parameters
TL;DR: In this paper, the authors define a class of Ising models on d-dimensional lattices characterized by a number n = 1, 2, …, d (n = 1 corresponds to the Ising model with two-spin interaction).
Related Papers (5)
Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models
N. D. Mermin,Herbert Wagner +1 more