Band structure of phononic crystal constructed by Fibonacci super-cell on square lattice | Zendy

Hao Guo-Jun | Zendy; Fu Xiu-Jun | Zendy; Hou Zhi-Lin | Zendy

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Band structure of phononic crystal constructed by Fibonacci super-cell on square lattice

Author(s) -

Hao Guo-Jun,

Fu Xiu-Jun,

Hou Zhi-Lin

Publication year - 2009

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.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.

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