Absence of phase transitions in one-dimensional antiferromagnetic models with long-range interactions
Journal of Statistical Physics
Kluwer Academic Publishers-Plenum PublishersSpringer New York LLC
571 - 620
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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.
KeywordsExtreme Gibbs state
Interacting and noninteracting contours