SPECTRAL PROPERTIES OF THE GENERALIZED FIBONACCI QUASIPERIODIC CHAINS | Zendy

Fu Xiu-Jun | Zendy; Guo Zi-zheng | Zendy; Peiqin Zhou | Zendy; Youyan Liu | Zendy

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SPECTRAL PROPERTIES OF THE GENERALIZED FIBONACCI QUASIPERIODIC CHAINS

Author(s) -

Fu Xiu-Jun,

Guo Zi-zheng,

Peiqin Zhou,

Youyan Liu

Publication year - 1992

Publication title -

acta physica sinica

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.

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