Open AccessSPECTRAL PROPERTIES OF THE GENERALIZED FIBONACCI QUASIPERIODIC CHAINS
Author(s) -
Xiujun Fu,
Guo Zi-zheng,
Zhou Pei-Qin,
Youyan Liu
Publication year - 1992
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.41.1330
Subject(s) - fibonacci number , quasiperiodic function , quasicrystal , chain (unit) , spectrum (functional analysis) , physics , spectral line , hierarchy , electronic structure , statistical physics , condensed matter physics , quantum mechanics , mathematics , combinatorics , economics , market economy
This paper is devoted to the study of electronic and phonon spectra of a kind of generalized Fibonacci quasiperiodic chain (Twins model). Renormalization group results show that the electronic spectrum has a trifurcating selfs milar structure but the middle subbends in every hierarchy are similar to spetral structure of the periodic systems. The analysis is confirmed by numerical results. While the phoson spectrum shows the same spectral structure as that of the Fibonacci chain.