Renormalization Group on the Aperiodic Hamiltonian

Chin. Phys. Lett.

1992, Vol. 9

Issue (11): 623-625 DOI:

Original Articles

Renormalization Group on the Aperiodic Hamiltonian

YAN Xiaohong;YOU Jianqiang;YAN Jiaren;ZHONG Jianxin

Laboratory of Atomic Imaging of Solids, Institute of Metal Research, Academia Sinica, Shenyang 110015 Mailing address: Laboratory of Modern Physics, Institute of Science and Technology, Xiangtan University, Xiangtan 411105

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YAN Xiaohong, YOU Jianqiang, YAN Jiaren et al 1992 Chin. Phys. Lett. 9 623-625

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Abstract We present the renormalization group of the generalized Fibonacci lattices associated with the aperiodic sequences as constructed by the inflation rule: {A,B} →{AⁿB^m,A}, in which m and n are positive integers. The derived renormalization group consists of 2n(n+ m - 1) + 1 basic renormalization-group Mtransformations. By suitable combinations of these basic transformations, the local electronic properties of the generalized Fibonacci lattices can be exactly obtained.

Keywords: 71.25.Ad 61.42.+h

Published: 01 November 1992

PACS:	71.25.Ad
	61.42.+h

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y1992/V9/I11/0623

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	YAN Xiaohong
	YOU Jianqiang
	YAN Jiaren
	ZHONG Jianxin

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