Open AccessELECTRONIC SPECTRUM OF TWO-DIMENSIONAL FIBONACCI QUASICRYSTALS
Author(s) -
Xiujun Fu,
Bolin Cheng,
Zheng Da-Fang,
Youyan Liu
Publication year - 1991
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.40.1666
Subject(s) - fibonacci number , quasicrystal , decimation , hamiltonian (control theory) , physics , spectrum (functional analysis) , quasiperiodic function , condensed matter physics , electronic structure , energy spectrum , statistical physics , quantum mechanics , mathematics , combinatorics , computer science , telecommunications , mathematical optimization , bandwidth (computing)
By means of the decomposition-decimation method based on the renormalization-group technique, we have studied the properties of electronic energy spectrum for the two-dimensional Fibonacci quasicrystals. It is found that the spectrum has a multifurcating structure which is very different from the monofurcating structure of one-dimensional Fibonacci quasicrystals. By using the four-fold symmetry of the Fibonacci quasilattice under study, we have reduced the Hamiltonian and then performed a numerical simulation, the results of which are consistent with the analytical ones.