ZERO-TEMPERATURE ENTROPY OF FULLY FRUSTRATED GENERALIZED SIERPINSKI GASKETS

NCUIR > Engineering College > Graduate Institute of Mechanical Engineering > journal & Dissertation > Item 987654321/27131

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/27131

Title:	ZERO-TEMPERATURE ENTROPY OF FULLY FRUSTRATED GENERALIZED SIERPINSKI GASKETS
Authors:	CHANG,CY;HUI,PM;YU,KW
Contributors:	機械工程學系
Keywords:	PHASE-TRANSITIONS;EUCLIDEAN LATTICE;FRACTAL LATTICE;CROSSOVER
Date:	1993
Issue Date:	2010-06-29 18:08:32 (UTC+8)
Publisher:	中央大學
Abstract:	The Ising model with antiferromagnetic couplings on a family of generalized Sierpinski gaskets is studied using an exact technique developed recently by Stinchcombe [Phys. Rev. B 41 (1990) 2510]. A general expression of the zero-temperature entropy per spin, S(b)AFM (0), is given for general b, where b is a rescaling factor characterizing the fractals. Exact expressions for S(b)AFM (0) are derived for the cases b = 2, 3, 4, 5, 6. These expressions are evaluated numerically and results are compared to those obtained previously by numerical iterations of renormalization-group equations. The asymptotic behavior of S(b)AFM (0) in the limit of large b is discussed.
Relation:	PHYSICS LETTERS A
Appears in Collections:	[Graduate Institute of Mechanical Engineering] journal & Dissertation

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