Theory of Generalized 3-State Potts Model and Antiferromagnetic Potts Model

Takehiko Oguchi; Takuma Ishikawa; Haruo Yoshida

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Journal of the Physical Society of Japan

Article . 1982 . Peer-reviewed

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https://dx.doi.org/10.1143/jps...

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Theory of Generalized 3-State Potts Model and Antiferromagnetic Potts Model

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1982 English Publisher:Physical Society of JapanJournal:Journal of the Physical Society of Japan, volume 51, pages 723-729 (issn: 0031-9015, eissn: 1347-4073,

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Authors: Takehiko Oguchi; Takuma Ishikawa; Haruo Yoshida;

doi: 10.1143/jpsj.51.723

Theory of Generalized 3-State Potts Model and Antiferromagnetic Potts Model

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Abstract

The spin Hamiltonian with spin-1 system including a single parameter is proposed which expresses the 3-state Potts model (PM) or antiferromagnetic Potts model (AFPM) according as a value of the parameter. They are investigated by a new method which is the extension of the effective Hamiltonian method in a unified way. The first-order transition or the second-order transition are obtained for the PM or the AFPM, respectively. In the AFPM, the ordered phase has a residual entropy, nevertheless the ordered phase can exist stably.

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Institute of Science Tokyo
Japan

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