Optical and Acoustic Branches in the Vibrational Spectrum of a
Diatomic Penrose Lattice
TIAN Decheng1, LIU Zhengyou, JIANG Qing, WANG Lilong2
1Department of Physics, Wuhan University, Wuhan 430072
also International Centre for Material Physics, Academia Sinica, Shenyang 110015
2Computer Center, Wuhan an University, Wuhan 430072
Optical and Acoustic Branches in the Vibrational Spectrum of a
Diatomic Penrose Lattice
TIAN Decheng1; LIU Zhengyou;JIANG Qing;WANG Lilong2
1Department of Physics, Wuhan University, Wuhan 430072
also International Centre for Material Physics, Academia Sinica, Shenyang 110015
2Computer Center, Wuhan an University, Wuhan 430072
Abstract： Vibrational densities of states for a diatomic Penrose lattice are calculated. They show apparently acoustic and optical branches. The acoustic branches appear smooth and continuous, while the optical branches are peakrich and have some small gaps. Detailed analysis shows that the density of states in the acoustic branches is attributed to the phonons and the fracton-like excitations and that in the optical branches clue to some localized vibrational model.
TIAN Decheng; LIU Zhengyou;JIANG Qing;WANG Lilong. Optical and Acoustic Branches in the Vibrational Spectrum of a
Diatomic Penrose Lattice
[J]. 中国物理快报, 1993, 10(10): 601-604.
TIAN Decheng, LIU Zhengyou, JIANG Qing, WANG Lilong. Optical and Acoustic Branches in the Vibrational Spectrum of a
Diatomic Penrose Lattice
. Chin. Phys. Lett., 1993, 10(10): 601-604.
1993, Vol. 10 
