Surface Vibrational Modes and Reflection Time of Phonons in a Finite-Size Superlattice

Seiji MIZUNO

doi:10.1380/jsssj.20.272

Seiji MIZUNO

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JOURNAL FREE ACCESS

1999 Volume 20 Issue 4 Pages 272-278

DOI https://doi.org/10.1380/jsssj.20.272

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Published: April 10, 1999 Received: July 02, 1998 Available on J-STAGE: August 07, 2009 Accepted: July 02, 1998 Advance online publication: - Revised: -
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Date of correction: August 07, 2009 Reason for correction: - Correction: AFFILIATION Details: Wrong :
1) Department of Applied Physic, Hokkaido University
2) Institut für Theoretische Physik, Technische Universität Dresden

Right :
1) Department of Applied Physic, Hokkaido University
2) Institut für Theoretische Physik, Technische Universität Dresden

Date of correction: August 07, 2009 Reason for correction: - Correction: CITATION Details: Wrong : 1) V. Narayanamurti, H.L. Stormer, M.A. Chin, A.C. Gossard and W. Wiegmann: Phys. Rev. Lett. 43, 2012 (1979).
2) O. Koblinger, J. Mebert, E. Dittrich, S. Dottinger, W. Eisenmenger, P.V. Santos and L. Ley: Phys. Rev. B 35, 9372 (1987).
3) D.C. Hurley, S. Tamura, J.P. Wolfe and H. Morkoc: Phys. Rev. Lett. 58, 2446 (1987).
4) D.C. Hurley, S. Tamura, J.P. Wolfe, K. Ploog and J. Nagle: Phys. Rev. B 37, 8829 (1988).
5) S. Tamura: Proc. 3rd Int. Conf. Phonon Physics and 6th Int. Conf. Phonon Scattering in Condensed Matter, Heidelberg, 1989 (World Scientific, Singapore, 1990) p. 703.
6) S. Tamura: Phys. Rev. B 38, 1427 (1988).
7) S. Tamura: Phys. Rev. B 39, 1261 (1989).
8) R.E. Camley, B. Djafari-Rouhani, L. Dobrzynski and A. A. Maradudin: Phys. Rev. B 27, 1427 (1983).
9) B. Djafari-Rouhani, L. Dobrzynski, O. Hardouin Duparc, R.E. Camley and A.A. Maradudin: Phys. Rev. B 28, 1711 (1983).
10) S. Mizuno and S. Tamura: Phys. Rev. B 45, 734 (1992).
11) S. Mizuno and S. Tamura: Phys. Rev. B 45, 13423 (1992).
12) S. Mizuno, M. Ito and S. Tamura: Jpn. J. Appl. Phys. 33, 2880 (1994).
13) S. Mizuno and S. Tamura: Phys. Rev. B 50, 7708 (1994).
14) V. Narayanamurti: Science 213, 717 (1981).
15) E.P. Wigner: Phys. Rev. 98, 145 (1955).
16) E.H. Hauge, J.P. Falck and T.A. Fjeldly: Phys. Rev. B 36, 4203 (1987).
17) E.H. Hauge and J.A. Stφvneng: Rev. Mod. Phys. 61, 917 (1989).
18) A.M. Steinberg, P.G. Kwiat and R.Y. Chiao: Phys. Rev. Lett. 71, 708 (1993).
19) See, for example, H.J. Mans, C. Thomsen and J. Tauc: “Phonon Scattering in Condensed Matter”;, ed. by A.C. Anderson and J.P. Wolfe (Springer, Berlin, 1986) p. 374.
20) S.Mizuno and S. Tamura: Phys. Rev. B 53, 4549 (1996).

Right : 1) V. Narayanamurti, H.L. Stormer, M.A. Chin, A.C. Gossard and W. Wiegmann: Phys. Rev. Lett. 43, 2012 (1979).
2) O. Koblinger, J. Mebert, E. Dittrich, S. Dottinger, W. Eisenmenger, P.V. Santos and L. Ley: Phys. Rev. B 35, 9372 (1987).
3) D.C. Hurley, S. Tamura, J.P. Wolfe and H. Morkoc: Phys. Rev. Lett. 58, 2446 (1987).
4) D.C. Hurley, S. Tamura, J.P. Wolfe, K. Ploog and J. Nagle: Phys. Rev. B 37, 8829 (1988).
5) S. Tamura: Proc. 3rd Int. Conf. Phonon Physics and 6th Int. Conf. Phonon Scattering in Condensed Matter, Heidelberg, 1989 (World Scientific, Singapore, 1990) p. 703.
6) S. Tamura: Phys. Rev. B 38, 1427 (1988).
7) S. Tamura: Phys. Rev. B 39, 1261 (1989).
8) R.E. Camley, B. Djafari-Rouhani, L. Dobrzynski and A. A. Maradudin: Phys. Rev. B 27, 1427 (1983).
9) B. Djafari-Rouhani, L. Dobrzynski, O. Hardouin Duparc, R.E. Camley and A.A. Maradudin: Phys. Rev. B 28, 1711 (1983).
10) S. Mizuno and S. Tamura: Phys. Rev. B 45, 734 (1992).
11) S. Mizuno and S. Tamura: Phys. Rev. B 45, 13423 (1992).
12) S. Mizuno, M. Ito and S. Tamura: Jpn. J. Appl. Phys. 33, 2880 (1994).
13) S. Mizuno and S. Tamura: Phys. Rev. B 50, 7708 (1994).
14) V. Narayanamurti: Science 213, 717 (1981).
15) E.P. Wigner: Phys. Rev. 98, 145 (1955).
16) E.H. Hauge, J.P. Falck and T.A. Fjeldly: Phys. Rev. B 36, 4203 (1987).
17) E.H. Hauge and J.A. Støvneng: Rev. Mod. Phys. 61, 917 (1989).
18) A.M. Steinberg, P.G. Kwiat and R.Y. Chiao: Phys. Rev. Lett. 71, 708 (1993).
19) See, for example, H.J. Mans, C. Thomsen and J. Tauc: “Phonon Scattering in Condensed Matter”;, ed. by A.C. Anderson and J.P. Wolfe (Springer, Berlin, 1986) p. 374.
20) S.Mizuno and S. Tamura: Phys. Rev. B 53, 4549 (1996).

Abstract

We discuss the interaction of bulk phonons with surface vibrational modes in a finite-size superlattice. The incident phonons injected normally on the superlattice from a substrate are perfectly reflected, i.e., the reflection ratee is unity irrespective of frequency. However, these phonons come back to the substrate with a large time delay when the frequency coincides with an eigenfrequency of the surface mode. This is due to the resonant interaction of the incident phonons with a surface vibrational mode. The results suggest that the surface vibrational modes are detectable from the other side of the surface by a time-resolved phonon reflection experiment.

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