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