Solving dispersion relations of one-dimensional diatomic chain with on-site potential by invariant eigen-operator method

Author:

Ren Yi-Chong ,Fan Hong-Yi ,

Abstract

The dispersion law of a one-dimensional diatomic lattice with on-site potential cross on its dispersion relation is solved under the harmonic approximation with quantized invariant eigen-operator method (IEO) and the influences of on-site potential and force constant are discussed. It is shown that due to the existence of on-site potential the lattice vibration spectra induced are shifted. Under certain conditions, the point of intersection exist between optical branch and acoustic branch in the boundary of Brillioun zone, which means the frequency gap between optical branch and acoustic branch is zero.

Publisher

Acta Physica Sinica, Chinese Physical Society and Institute of Physics, Chinese Academy of Sciences

Subject

General Physics and Astronomy

Reference7 articles.

1. Fan H Y, Li C 2004 Phys. Lett. A 321 75

2. Gorbach A V, Johansson M 2003 Phys. Rev. E 67 066608

3. Zhou Q, L B B, Tian Q 2009 Acta Phys. Sin. 58 0411 (in Chinese) [周倩, 吕彬彬, 田强 2009 物理学报 58 0411]

4. Maniadis P, Zolotaryuk A V, Tsironis G P 2003 Phys. Rev. E 67 046612

5. Li M S, Tian Q 2007 Acta Phys. Sin. 56 1041 (in Chinese) [李宓善, 田强 2007 物理学报 56 1041]

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