Abstract
The ballistic propagation of highly dispersive phonons in GaAs in analyzed with both a bond-charge model (BCM) and a shell model, and compared to imaging experiments. When scattering is neglected, both models predict dispersive focusing pattern which depend strongly on the selected group velocities. In contrast, velocity-selected phonon images obtained with a PbBi tunnel-junction detector on a 0.7-mm thick crystal, display well-defined caustic lines whose angular positions do not shift at longer delay times. When isotope scattering is considered in the calculation, however, the shell model reproduces the experimental focusing structures remarkably well.
For highly dispersive phonons, the bond-charge and shell models predict markedly different phonon-focusing patterns. In particular, a concentration of heat flux along [100] is predicted by BCM forv=1.7–2.0 THz slow-transverse (ST) phonons., but this effect is absent in the shell model. Both models predict new focusing structures in the fasttransverse (FT) mode at high frequencies. Our calculations which include isotope scattering indicate that to observe these new structures considerable technical advances are required in the phonon-imaging experiments.
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References
Gutfeld, R.J., von, Nethercot, A.H., Jr. Phys. Rev. Lett.12:, 641 (1964)
See for example: Proceedings of the Fifth International Conference on Phonon Scattering in Condensed Matter, Urbana, Illinois, June 1986. Anderson, A.C., Wolfe, J.P. (eds.). Berlin, Heidelberg, New York: Springer 1986
Huet, D., Maneval, J.P., Zylbersztejn, A.: Phys. Rev. Lett.29, 1092 (1972)
Hebboul, S.E., Wolfe, J.P.: Z. Phys. B-Condensed Matter73, 437 (1989)
Grill, W., Weis, O.: Phys. Rev. Lett.35, 588 (1975)
Bron, W.E., Rossinelli, M., Bai, Y.H., Keilmann, F.: Phys. Rev. B27, 1370 (1983)
Ulbrich, R.G., Narayanamurti, V., Chin, M.A.: Phys. Rev. Lett.45, 1432 (1980)
Tamura, S.: Phys. Rev. B30, 849 (1984)
Northrop, G.A., Hebboul, S.E., Wolfe, J.P.: Phys. Rev. Lett.55, 95 (1985)
Stock, B., Fieseler, M., Ulbrich, R.G.: Proceedings of the 17th Internatinal Conference on the Physics of Semiconductors. Chadi, J.D., Harisson, W.A. (eds.), p. 1177. Berlin, Heidelberg, New York: Springer 1985
See also Ulbrich, R.G.: Proceedings on a NATO Advanced study Institute of Nonequilibrium Phonon Dynamics, Les Arcs, France 1984. Bron, W.E. (ed.). New York: Plenum Press 1985
Schreiber, M., Fieseler, M., Mazur, A., Pollman, J., Stock, B., Ulbrich, R.G.: Proceedings of the 18th International Conference on the Physics of Semiconductors. Engström, O. (ed.), p. 1373. Singapore: World Scientific 1987
Rustagi, K.C., Weber, W.: Solid State Commun.18, 673 (1976)
Dolling, G., Waugh, J.L.T.: Lattice dynamics. Wallis, R.F. (ed.) London: Pergamon 1965
Ramsbey, M.T., Wolfe, J.P., Tamura, S.: Z. Phys. B-Condensed Matter73, 167 (1988)
hebboul, S.E., Wolfe, J.P.: Proceedings of the 18th International Conference on the Physics of Semiconductors. Engström, O. (ed.) p. 1377. Singapore: World Scientific 1987
Yip, S.K., Chang, Y.C.: Phys. Rev. B30, 7037 (1984)
Kunc, K., Nielsen, O.H.: Comput. Phys. Commun.17, 413 (1979)
Northrop, G.A., Wolfe, J.P.: Proceedings on a NATO Advanced Study Institute of Nonequilibrium Phonon Dynamics, Les Arcs, France 1984. Bron, W.E. (ed.): New York: Plenum Press 1985
Hebboul, S.E., Wolfe, J.P.: Phys. Rev. B34, 3948 (1986)
The undoped sample was originally from Wacker Chemitronics and was given to us by R.G. Ulbrich. Both surfaces were mechanically polished with 0.3 μm Alumina followed by Syton.
Gundlach, K.H., Takada, S., Zahn, M., Hartfusse, H.J.: Appl. Phys. Lett41, 294 (1982)
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Hebboul, S.E., Wolfe, J.P. Focusing of dispersive phonons in GaAs. Z. Physik B - Condensed Matter 74, 35–51 (1989). https://doi.org/10.1007/BF01307237
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DOI: https://doi.org/10.1007/BF01307237