Exact results for a generalized classicalO(n) matrix spin model |
| |
Authors: | N. Angelescu M. Bundaru G. Costache C. J. Thompson |
| |
Affiliation: | (1) Central Institute of Physics, MG-6 Bucharest-Magurele, Romania;(2) Mathematics Department, University of Melbourne, 3052 Parkville, Victoria, Australia |
| |
Abstract: | A generalizedO(n) matrix version of the classical Heisenberg model, introduced by Fuller and Lenard as a classical limit of a quantum model, is solved exactly in one dimension. The free energy is analytic and the pair correlation functions decay exponentially for all finite temperatures. It is shown, however, that even for a finite number of spins the model has a phase transition in then limit. The transition features a specific heat jump, zero long-range order at all temperatures, and zero correlation length at the critical point. The Curie-Weiss version of the model is also solved exactly and shown to have standard mean-field type behavior for all finiten and to differ from the one-dimensional results in then limit. |
| |
Keywords: | Heisenberg model classical limit matrix models phase transition spherical limit mean-field model |
本文献已被 SpringerLink 等数据库收录! |
|