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
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
Abstract： We present the renormalization group of the generalized Fibonacci lattices associated with the aperiodic sequences as constructed by the inflation rule: {A,B} →{AnBm,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.
YAN Xiaohong;YOU Jianqiang;YAN Jiaren;ZHONG Jianxin. Renormalization Group on the Aperiodic Hamiltonian[J]. 中国物理快报, 1992, 9(11): 623-625.
YAN Xiaohong, YOU Jianqiang, YAN Jiaren, ZHONG Jianxin. Renormalization Group on the Aperiodic Hamiltonian. Chin. Phys. Lett., 1992, 9(11): 623-625.
1992, Vol. 9 
