Group velocities of phonons in superlattices

Physical Review B - Condensed Matter and Materials Physics

Volumn 65, Issue 17, 2002, Pages 1-10

  Imamura, K ^a   Tanaka, Y ^a   Tamura, S ^a  

^a HOKKAIDO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85038274314     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.65.174301     Document Type: Article

References (18)

1. G. Chen, C.L. Tien, X. Wu, and J.S. Smith, J. Heat Transfer 116, 325 (1994).
2. S.M. Lee, D.G. Cahill, and R. Venkatasubramanian, Appl. Phys. Lett. 70, 2957 (1997).
3. W.S. Capinski, H.J. Maris, T. Ruf, M. Cardona, K. Ploog, and D.S. Katzer, Phys. Rev. B 59, 8105 (1999).
4. B. Taylor, H.J. Maris, and C. Elbaum, Phys. Rev. Lett. 23, 416 (1969);
5. B. TaylorH.J. MarisC. ElbaumPhys. Rev. B 3, 1462 (1971).
6. G.A. Northrop and J.P. Wolfe, Phys. Rev. B 22, 6196 (1980);
7. Nonequilibrium Phonon Dynamics (Plenum, New York, 1985), Chap. 5.
8. J. P. Wolfe, Imaging Phonons (Cambridge University Press, Cambridge, 1998), Chap. 2.
9. Y. Tanaka, M. Narita, and S. Tamura, J. Phys.: Condens. Matter 10, 8787 (1998).
10. A.G. Every and A.J. Stoddart, Phys. Rev. B 32, 1319 (1985).
11. H. Kato, H.J. Maris, and S. Tamura, Phys. Rev. B 53, 7884 (1996).
12. In each constituent layer of the superlattice, the displacement vector is either parallel (longitudinal) or perpendicular (transverse) to the wave vector (formula presented) (formula presented) or (formula presented) in the I layer in the isotropic approximation we assume. However, the displacement vector is neither parallel nor perpendicular to the superlattice wave vector (formula presented) in general.
13. The numerical values of the longitudinal (L) and transverse (T) sound velocities used are (formula presented) (formula presented) (formula presented), and (formula presented) for GaAs and AlAs, respectively, and the mass densities are (formula presented) for GaAs and (formula presented) for AlAs.
14. S. Tamura, D.C. Hurley, and J.P. Wolfe, Phys. Rev. B 38, 1427 (1988).
15. Inside the intrazone frequency gap region of the infinite superlattice this assignment of modes is no longer convincing, but we will follow the labeling of the modes according to this prescription.
16. H.T. Grahn, H.J. Maris, J. Tauc, and B. Abeles, Phys. Rev. B 38, 6066 (1988).
17. W. Chen, Y. Lu, H.J. Maris, and G. Xiao, Phys. Rev. B 50, 14506 (1994).
18. B. Perrin, B. Bonello, J.-C. Jeannet, and E. Romatet, Physica B 219 & 220, 681 (1996).