Dependence of Critical Properties on Dimensionality of Spins

Publisher Website

18 March 1968

journal article
research article
Published by American Physical Society (APS) in Physical Review Letters

Vol. 20 (12) , 589-592
https://doi.org/10.1103/physrevlett.20.589

Abstract

We consider a new model Hamiltonian

H^{(ν)}

for interacting

ν

-dimensional classical "spins";

H^{(ν)}

reduces to the Ising, planar, and Heisenberg models, respectively, for

ν = 1, 2, and 3

. Certain critical properties of

H^{(ν)}

are found to be monotonic functions of

ν

.

Keywords

This publication has 10 references indexed in Scilit:

History of the Lenz-Ising Model
Reviews of Modern Physics, 1967
Lattice Model for the $λ$ Transition in a Bose Fluid
Physical Review Letters, 1967
Specific heat of a three-dimensional Ising ferromagnet above the Curie temperature
Proceedings of the Physical Society, 1967
High-Temperature Expansions for the Classical Heisenberg Model. I. Spin Correlation Function
Physical Review B, 1967
High-Temperature Expansions for the Classical Heisenberg Model. II. Zero-Field Susceptibility
Physical Review B, 1967
Classical Heisenberg Ferromagnet
Physical Review Letters, 1966
Cluster series for the infinite spin Heisenberg model
Proceedings of the Physical Society, 1966
Second interactions in the Ising and Heisenberg models of ferromagnetism
Proceedings of the Physical Society, 1966
High-Temperature Expansions-the Classical Heisenberg Model
Physical Review Letters, 1966
Effect of Change of Spin on the Critical Properties of the Ising and Heisenberg Models
Physical Review B, 1962