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Physics NotePublished

Potts Antiferromagnet on a Family of Fractal Lattices: Exact Results for an Unusual Phase

J. A. Redinz; A. C. N. Magalhães; E. M. F. Curado

1993

Publication details

Authors
J. A. Redinz; A. C. N. Magalhães; E. M. F. Curado
Type
Physics Note
Status
Published
Publication date
1993
Description
The three-state antiferromagnetic Potts model on a family of bipartite diamond hierarchical lattices is investigated. We prove that the correlations have a power law and that the order parameter vanishes in the entire low-temperature phase as predicted by Berker and Kadanoff. The internal energy, specific heat and entropy as functions of temperature are also exactly calculated. It is shown that the local order parameter has two distinct multifractal structures one at the critical point and another at the unusual phase.
Year
1993
Number
CBPF-NF-039/93
Linked to a thesis
No
Linked to a grant
No
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