Guided and interface LO phonons in cylindrical GaAs/AlxGa1xAs quantum wires

N. C. Constantinou and B. K. Ridley
Phys. Rev. B 41, 10627 – Published 15 May 1990
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Abstract

A dispersive hydrodynamic continuum theory is employed to describe the LO phonons in GaAs/AlxGa1xAs cylindrical quantum wires. It is demonstrated that a finite number of guided modes exist for a given wire radius, their number being greater than the corresponding slab system due to the reduced symmetry. As for the interface modes, it is shown that a given mode occurs at a critical wave vector, although the axially symmetric mode always exists, it having zero critical wave vector. The situation is drastically modified in the case of a free-standing wire. Within the continuum model and with physically plausible boundary conditions, guided modes exist whereas interface modes do not. Implications for electron transport are discussed.

  • Received 1 December 1989

DOI:https://doi.org/10.1103/PhysRevB.41.10627

©1990 American Physical Society

Authors & Affiliations

N. C. Constantinou and B. K. Ridley

  • Department of Physics, University of Essex, Wivenhoe Park, Colchester CO4 3SQ, United Kingdom

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Vol. 41, Iss. 15 — 15 May 1990

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