open access

https://hdl.handle.net/2115/47082

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

英語

1993-07-15

American Physical Society

Physical Review B

48(4)

2515-2528

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.

学術雑誌論文

Version of Record

© 1993 The American Physical Society

0163-1829

1095-3795