Absence of phase transitions in one-dimensional antiferromagnetic models with long-range interactions

Date
1993
Authors
Kerimov, A.
Advisor
Supervisor
Co-Advisor
Co-Supervisor
Instructor
Source Title
Journal of Statistical Physics
Print ISSN
0022-4715
Electronic ISSN
1572-9613
Publisher
Kluwer Academic Publishers-Plenum Publishers
Springer New York LLC
Volume
72
Issue
3-4
Pages
571 - 620
Language
English
Type
Article
Journal Title
Journal ISSN
Volume Title
Series
Abstract

The absence of phase transitions in a one-dimensional model with long-range antiferromagnetic potential is established at low temperatures when the ground states have a rational density. A description of the set of all ground states and typical configurations is given. © 1993 Plenum Publishing Corporation.

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Book Title
Keywords
Extreme Gibbs state, Gibbs state, Ground state, Hamiltonian, Interacting and noninteracting contours
Citation
Published Version (Please cite this version)