DISPERSION OF ACOUSTIC PHONONS IN QUASIPERIODIC SUPERLATTICES

R. K. Mishra, K. D. Misra and R. P. Tiwari
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R. K. Mishra: Department of Applied Physics, Institute of Technology, Banaras Hindu University, Varanasi-221005, India
K. D. Misra: Department of Applied Physics, Institute of Technology, Banaras Hindu University, Varanasi-221005, India
R. P. Tiwari: Department of Physics, Veer Kunwar Singh University, Ara, India

Surface Review and Letters (SRL), 2004, vol. 11, issue 06, 541-551

Abstract: The aim of this work is to present an up-to-date study of acoustic phonon excitations that can propagate in multilayered structure with constituents arranged in quasiperiodic fashion. In this paper, the dispersion relation of acoustic phonons for the quasiperiodic superlattice using different semiconducting materials, with the help of transfer matrix method, is derived at normal angle of incidence. Calculation is presented for (a)Ge/Siand (b)Nb/Cusemiconductor superlattices from 5th to 9th generations and dispersion diagrams are plotted using the famous Kronning–Penny model obtained from the transfer matrix of the structure. The concept of allowed and forbidden bands with the help of these dispersion curves in various generations of Fibonacci superlattices and the relation between imaginary value of propagation vector and the existence of forbidden bands is demonstrated.

Keywords: Acoustic phonons; Fibonacci superlattice; forbidden bands (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1142/S0218625X04006505

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