Multicritical points of the Potts spin glasses on the triangular lattice

Masayuki Ohzeki

doi:10.1016/j.physe.2007.06.040

Multicritical points of the Potts spin glasses on the triangular lattice

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Abstract

Conjecture on the exact multicritical points for several types of the Potts spin glass model on the triangular lattice is given, using a technique based on the duality in conjunction with the replica method. The considered Potts spin glass models are of two types; only with three-body interactions and with two- and three-body interactions on the triangular lattice. In the former case, the multicritical points are predicted for the general q-state Potts spin glass model, while in the latter case the results are presented for two types of the 2-state Potts spin glass.

Original language	English
Pages (from-to)	394-397
Number of pages	4
Journal	Physica E: Low-Dimensional Systems and Nanostructures
Volume	40
Issue number	2
DOIs	https://doi.org/10.1016/j.physe.2007.06.040
Publication status	Published - 2007 Dec
Externally published	Yes

Keywords

Duality transformation
Exact solution
Multicritical point
Potts model
Spin glass
Triangular lattice

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Atomic and Molecular Physics, and Optics
Condensed Matter Physics

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10.1016/j.physe.2007.06.040

Cite this

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title = "Multicritical points of the Potts spin glasses on the triangular lattice",

abstract = "Conjecture on the exact multicritical points for several types of the Potts spin glass model on the triangular lattice is given, using a technique based on the duality in conjunction with the replica method. The considered Potts spin glass models are of two types; only with three-body interactions and with two- and three-body interactions on the triangular lattice. In the former case, the multicritical points are predicted for the general q-state Potts spin glass model, while in the latter case the results are presented for two types of the 2-state Potts spin glass.",

keywords = "Duality transformation, Exact solution, Multicritical point, Potts model, Spin glass, Triangular lattice",

author = "Masayuki Ohzeki",

note = "Funding Information: The author would like to thank Prof. H. Nishimori for useful discussions and suggestive comments on the manuscript. This work was partially supported by the 21st Century COE Program at Tokyo Institute of Technology “Nanometer-Scale Quantum Physics”, the Grant-in-Aid for Scientific Research on the Priority Area “Deepening and Expansion of Statistical Mechanical Informatics” by the Ministry of Education, Culture, Sports, Science and Technology, and by CREST, JST.",

year = "2007",

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doi = "10.1016/j.physe.2007.06.040",

language = "English",

volume = "40",

pages = "394--397",

journal = "Physica E: Low-Dimensional Systems and Nanostructures",

issn = "1386-9477",

publisher = "Elsevier",

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T1 - Multicritical points of the Potts spin glasses on the triangular lattice

AU - Ohzeki, Masayuki

N1 - Funding Information: The author would like to thank Prof. H. Nishimori for useful discussions and suggestive comments on the manuscript. This work was partially supported by the 21st Century COE Program at Tokyo Institute of Technology “Nanometer-Scale Quantum Physics”, the Grant-in-Aid for Scientific Research on the Priority Area “Deepening and Expansion of Statistical Mechanical Informatics” by the Ministry of Education, Culture, Sports, Science and Technology, and by CREST, JST.

PY - 2007/12

Y1 - 2007/12

N2 - Conjecture on the exact multicritical points for several types of the Potts spin glass model on the triangular lattice is given, using a technique based on the duality in conjunction with the replica method. The considered Potts spin glass models are of two types; only with three-body interactions and with two- and three-body interactions on the triangular lattice. In the former case, the multicritical points are predicted for the general q-state Potts spin glass model, while in the latter case the results are presented for two types of the 2-state Potts spin glass.

AB - Conjecture on the exact multicritical points for several types of the Potts spin glass model on the triangular lattice is given, using a technique based on the duality in conjunction with the replica method. The considered Potts spin glass models are of two types; only with three-body interactions and with two- and three-body interactions on the triangular lattice. In the former case, the multicritical points are predicted for the general q-state Potts spin glass model, while in the latter case the results are presented for two types of the 2-state Potts spin glass.

KW - Duality transformation

KW - Exact solution

KW - Multicritical point

KW - Potts model

KW - Spin glass

KW - Triangular lattice

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JO - Physica E: Low-Dimensional Systems and Nanostructures

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ER -

Multicritical points of the Potts spin glasses on the triangular lattice

Abstract

Keywords

ASJC Scopus subject areas

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