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Chin. Phys. B, 2013, Vol. 22(8): 080508    DOI: 10.1088/1674-1056/22/8/080508
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Comment on ‘Mathematical structure of the three-dimensional (3D)Ising model’

Jacques H. H. Perk
Department of Physics, Oklahoma State University, Stillwater, OK 74078-3072, USA
Abstract  The review paper by Zhang Zhi-Dong (Zhang Z D 2013 Chin. Phys. B 22 030513, arXiv:1305.2956) contains many errors and is based on several earlier works that are equally wrong.
Keywords:  Ising model      Lie algebra      series analysis      thermodynamic limit  
Received:  20 June 2013      Published:  27 June 2013
PACS:  05.50+q  
  75.10.Hk (Classical spin models)  
  05.70.Fh (Phase transitions: general studies)  
Fund: Project supported in part by NSF grant PHY 07-58139.
Corresponding Authors:  Jacques H. H. Perk     E-mail:  perk@okstate.edu

Cite this article: 

Jacques H. H. Perk Comment on ‘Mathematical structure of the three-dimensional (3D)Ising model’ 2013 Chin. Phys. B 22 080508

[1] Zhang Z D 2007 Philos. Mag. 87 5309, arXiv: 0705.1045
[2] Wu F Y, McCoy B M, Fisher M E and Chayes L 2008 Philos. Mag. 88 3093, arXiv: 0811.3876
[3] Perk J H H 2009 Philos. Mag. 89 761, arXiv: 0811.1802
[4] Zhang Z D 2008 Philos. Mag. 88 3097, arXiv: 0812.2330
[5] Zhang Z D 2013 Chin. Phys. B 22 030513, arXiv:1305.2956
[6] Domb C and Green M S editors 1974 Series Expansions for Lattice Models, Phase Transitions and Critical Phenomena Vol. 3 (London: Academic Press)
[7] Zhang Z D and March N H 2012 Bull. Soc. Sci. Lettres Łódź Sér. Rech. Déform. 62:3 61, arXiv: 1209.3247
[8] Zhang Z D and March N H 2013 Bull. Soc. Sci. Lettres Łódź Sér. Rech. Déform. 63:1 85, arXiv: 1209.3247
[9] Groeneveld J 1962 Phys. Lett. 3 50
[10] Ruelle D 1969 Statistical Mechanics, Rigorous Results (New York: Benjamin)
[11] Perk J H H 2012 Bull. Soc. Sci. Lettres Łódź Sér. Rech. Déform. 62:3 45, arXiv: 1209.0731
[12] Suzuki M 1965 Phys. Lett. 19 267
[13] Suzuki M 2002 Int. J. Mod. Phys. B 16 1749
[14] Perk J H H 2013 Bull. Soc. Sci. Lettres Łódź Sér. Rech. Déform. 63:1 89, arXiv: 1209.0731
[15] Kaufman B 1949 Phys. Rev. 76 1232
[16] Kramers H A and Wannier G H 1941 Phys. Rev. 60 252
[17] Perk J H H 2012 Bull. Soc. Sci. Lettres Łódź Sér. Rech. Déform. 62:3 71, arXiv: 1209.0731
[18] Gallavotti G, Miracle-Solé S and Robinson D W 1967 Phys. Lett. A 25 493
[19] Zhang Z D and March N H 2012 Bull. Soc. Sci. Lettres Łódź Sér. Rech. Déform. 62:3 35, arXiv: 1110.5527
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