Open AccessBand structure of phononic crystal constructed by Fibonacci super-cell on square lattice
Author(s) -
Hao Guo-Jun,
Xiujun Fu,
Hou Zhi-Lin
Publication year - 2009
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.58.8484
Subject(s) - quasiperiodic function , fibonacci number , plane wave expansion method , electronic band structure , square lattice , condensed matter physics , crystal structure , materials science , lattice constant , plane wave expansion , band gap , quasicrystal , lattice (music) , rod , crystal (programming language) , square (algebra) , physics , optics , diffraction , crystallography , geometry , mathematics , acoustics , computer science , medicine , programming language , chemistry , alternative medicine , discrete mathematics , pathology , ising model
Using the plane-wave expansion method, we study the band structure of a phononic crystal with water rods embedded in mercury to form a super-cell according to the two-dimensional Fibonacci array. It is found that each band splits into three sub-bands with the change of quasilattice constants and there exist intermediate states, which reflect the peculiar properties of quasiperiodic systems.