O(n) Matrix Spin Model with Unusual Critical Behavior in the Limit n

N. Angelescu, M. Bundaru, G. Costache, and C. J. Thompson
Phys. Rev. Lett. 56, 1526 – Published 14 April 1986
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Abstract

A generalized O(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. It is shown that even for a finite number of spins the model has a phase transition in the limit n. 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 discussed.

  • Received 8 October 1985

DOI:https://doi.org/10.1103/PhysRevLett.56.1526

©1986 American Physical Society

Authors & Affiliations

N. Angelescu, M. Bundaru, and G. Costache

  • Central Institute of Physics, Bucharest-Magurele MG-6, Romania

C. J. Thompson

  • Mathematics Department, University of Melbourne, Parkville, Victoria 3052, Australia

Comments & Replies

Comment on the n= Limit of the Fuller-Lenard Model

Herbert Levine and Herbert Neuberger
Phys. Rev. Lett. 57, 645 (1986)

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Vol. 56, Iss. 15 — 14 April 1986

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