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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.
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Keywords:
- on-site potential /
- one-dimensional diatomic lattice /
- invariant eigen-operator method /
- dispersion law
[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 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 56 1041]
[6] Tian Q, Hong F N 2006 College Physics 25(4) 17 (in Chinese) [田强, 洪馥男 2006 大学物理 25(4) 17]
[7] Pan X Q, Liu B C, Tian Q 2009 College Physics 28(5) 11 (in Chinese) [潘学琴, 刘炳灿, 田强 2009 大学物理 28(5) 11]
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[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 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 56 1041]
[6] Tian Q, Hong F N 2006 College Physics 25(4) 17 (in Chinese) [田强, 洪馥男 2006 大学物理 25(4) 17]
[7] Pan X Q, Liu B C, Tian Q 2009 College Physics 28(5) 11 (in Chinese) [潘学琴, 刘炳灿, 田强 2009 大学物理 28(5) 11]
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