Elastic scattering and absorption of surface acoustic waves by a quantum dot

Andreas Knäbchen, Yehoshua B. Levinson, and Ora Entin-Wohlman
Phys. Rev. B 55, 5325 – Published 15 February 1997
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Abstract

The piezoelectric interaction of a surface acoustic wave (SAW) with a quantum dot is studied. Electron-electron interactions are accounted for by solving the screening problem in real space. The absorption and the scattering cross sections for SAW's as a function of the area of the dot, A, the sound wave vector, q, and the diffusion coefficient, D, of the electrons are calculated analytically in all cases where the quantities q2A and Aω/D are larger or smaller than unity; ω is the SAW frequency. Numerical results cover the intermediate regimes. Based on the calculation of the weak localization corrections to the cross sections it is argued that scattering and absorption of sound as noninvasive probes may be advantageous in comparison to transport experiments for the investigation of small electronic systems, because for the former the phase coherence is enhanced as the system size shrinks.

    DOI:https://doi.org/10.1103/PhysRevB.55.5325

    ©1997 American Physical Society

    Authors & Affiliations

    Andreas Knäbchen and Yehoshua B. Levinson

    • Weizmann Institute of Science, Department of Condensed Matter Physics, 76100 Rehovot, Israel

    Ora Entin-Wohlman

    • School of Physics and Astronomy, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, 69978 Tel Aviv, Israel

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    Issue

    Vol. 55, Iss. 8 — 15 February 1997

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