Critical Behaviour of the Gaussian Model on Sierpinski Carpets

Chin. Phys. Lett.

2001, Vol. 18

Issue (7): 882-884 DOI:

Original Articles

Critical Behaviour of the Gaussian Model on Sierpinski Carpets

LIN Zhen-Quan¹;KONG Xiang-Mu²

¹Department of Physics, Wenzhou Normal College, Wenzhou 325027 ²Department of Physics, Qufu Normal University, Qufu 273165

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LIN Zhen-Quan, KONG Xiang-Mu 2001 Chin. Phys. Lett. 18 882-884

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Abstract The Gaussian model on Sierpinski carpets with two types of nearest neighbour interactions K and K_w and two corresponding types of the Gaussian. distribution constants b and b_w is constructed by generalizing that on translationally invariant square lattice. The critical behaviours are studied by the renormalization-group approach and spin rescaling method. They are found to be quite different from that on translationally invariant square lattice. There are two critical points at (K^* = b,K^*_w = 0) and (K^* = 0,K^*_w = b_w), and the correlation length critical exponents are calculated.

Keywords: 05.50.+q 64.60.Ak 75.10.Hk

Published: 01 July 2001

PACS:	05.50.+q	(Lattice theory and statistics)
	64.60.Ak
	75.10.Hk	(Classical spin models)

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2001/V18/I7/0882

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