The lowest energy state of a linear antiferromagnetic chain

In the ground state of a one-dimensional crystal with isotropic antiferro-magnetic exchange a division of the chain into two sub-lattices as suggested by the theory of Weiss-Néel does not obtain. It is proved, however, that after introduction of a certain amount of anisotropy a subdivision will appe...

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Bibliographic Details
Published in:Physica 1952-02, Vol.18 (2), p.104-113
Main Author: Kasteleijn, P.W.
Format: Article
Language:English
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Summary:In the ground state of a one-dimensional crystal with isotropic antiferro-magnetic exchange a division of the chain into two sub-lattices as suggested by the theory of Weiss-Néel does not obtain. It is proved, however, that after introduction of a certain amount of anisotropy a subdivision will appear. Generalizing a method developed by Slater and Hulthén this critical value of the relative anisotropy is approximated by means of the Ritz variation method and the relation between the magnetization of the two sub-lattices and the anisotropy above this value is investigated.
ISSN:0031-8914
DOI:10.1016/S0031-8914(52)80273-3