Journal ArticleDOI
Crossover exponent of the anisotropic n-vector model
Reads0
Chats0
TLDR
The crossover exponent for an anisotropic n -vector model to first order in the 1/n -expansion for both short-range and long-range interactions was calculated in this paper.About:
This article is published in Physics Letters A.The article was published on 1974-04-22. It has received 11 citations till now. The article focuses on the topics: Exponent & n-vector model.read more
Citations
More filters
Journal ArticleDOI
Harmonic crossover exponents in O(n) models with the pseudo-epsilon expansion approach
TL;DR: The crossover exponents associated with the traceless tensorial quadratic field and the third- and fourth-harmonic operators for $O(n)$ vector models are determined by reanalyzing the existing six-loop fixed-dimension series with the pseudo-$ϵ$ expansion.
Journal ArticleDOI
Transition temperature shift exponent ψ for anisotropic-Heisenberg, and dipolar systems
TL;DR: In this article, the transition temperature shift exponent for spin systems with dipole-dipole interactions was calculated using Feynman graph methods, in agreement with calculations of the corresponding cross-over exponents.
Journal ArticleDOI
On the magnetic phase transition of some layered copper compounds: I. Extrapolation to the ideal, two-dimensional, S =12, Heisenberg ferromagnet
TL;DR: In this article, an analysis of the dependence of the reduced critical temperature kTc/J on the ratio R ≡ H′E/HE of the interlayer (H′E) and intralayer (HE) exchange coupling, as observed for a number of layer type copper compounds, is presented.
Journal ArticleDOI
Wilson expansions for an extended Potts model
TL;DR: In this article, an n-component generalization of the continuous Potts model is studied both in the ordered and in the disordered phase by using Wilson's epsilon and 1/n expansions around the Heisenberg fixed point.
Journal ArticleDOI
Renormalization group approach to the displacive limit of the quantum n-vector model
Hans Beck,R. Schäfer +1 more
TL;DR: In this article, the critical behavior of the d-dimensional quantum mechanical n-vector model at the displacive limit is studied by means of renormalization group techniques, and a close connection with a classical (d+1)-dimensional system is established and exponents are calculated in powers of ϵ = 3-d.
References
More filters
Journal ArticleDOI
Feynman graph expansion for critical exponents
TL;DR: The critical exponents of generalized classical Heisenberg models with $n$ internal degrees of freedom as an exact expansion were computed in this article for the Ising case, and the results to this order for the three-dimensional Ising cases were shown to be 1.244 and 0.037, respectively.
Journal ArticleDOI
Interaction of Elastic Strain with the Structural Transition of Strontium Titanate
J. C. Slonczewski,H. Thomas +1 more
TL;DR: In this article, a phenomenological model employing optical soft-mode and elastic-strain coordinates is proposed for second-order displacive transitions of a type often observed in crystals of perovskite structure.
Journal ArticleDOI
Critical Behavior of Anisotropic Cubic Systems
TL;DR: In this article, the critical behavior in zero field above T c of ferromagnets or ferroelectrics with a Hamiltonian of cubic symmetry was studied, to order T c = 1.
Journal ArticleDOI
Scaling approach to anisotropic magnetic systems statics
Eberhard K. Riedel,Franz Wegner +1 more
TL;DR: In this article, scaling laws for anisotropic magnetic systems are stated, where the anisotropy parameters are either scaled or held fixed, and the critical behavior of thermodynamic quantities in the system is determined.
Journal ArticleDOI
Critical Behavior of a Classical Heisenberg Ferromagnet with Many Degrees of Freedom
Edouard Brézin,D. J. Wallace +1 more
TL;DR: In this article, the critical behavior of a classical Heisenberg ferromagnet is studied in the limit where the spin dimensionality $N$ is large, and the divergence of the magnetic susceptibility below the external field vanishes is discussed through a nonlinear realization of the $O(N)$ symmetry.