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Phonon-transmission rate, fluctuations, and localization in random semiconductor superlattices: Green’s-function approach

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Title: Phonon-transmission rate, fluctuations, and localization in random semiconductor superlattices: Green’s-function approach
Authors: Nishiguchi, Norihiko Browse this author →KAKEN DB
Tamura, Shin-ichiro Browse this author
Nori, Franco Browse this author
Issue Date: 15-Jul-1993
Publisher: American Physical Society
Journal Title: Physical Review B
Volume: 48
Issue: 4
Start Page: 2515
End Page: 2528
Publisher DOI: 10.1103/PhysRevB.48.2515
Abstract: We analytically study phonon transmission and localization in random superlattices by using a Green’s-function approach. We derive expressions for the average transmission rate and localization length, or Lyapunov exponent, in terms of the superlattice-structure factor. This is done by considering the backscattering of phonons, due to the complex mass-density fluctuations, which incorporates all of the forward-scattering processes. These analytical results are applied to two types of random superlattices and compared with numerical simulations based on the transfer-matrix method. Our analytical results show excellent agreement with the numerical data. A universal relation for the transmission fluctuations versus the average transmission is derived explicitly, and independently confirmed by numerical simulations. The transient of the distribution of transmission to the log-normal distribution for the localized phonons is also studied.
Rights: © 1993 The American Physical Society
Type: article
URI: http://hdl.handle.net/2115/47082
Appears in Collections:工学院・工学研究院 (Graduate School of Engineering / Faculty of Engineering) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 西口 規彦

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