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Hybrid Phonons in Nanostructures$
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Brian K. Ridley

Print publication date: 2017

Print ISBN-13: 9780198788362

Published to Oxford Scholarship Online: April 2017

DOI: 10.1093/acprof:oso/9780198788362.001.0001

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Quantum Wire

Quantum Wire

Chapter:
(p.97) 9 Quantum Wire
Source:
Hybrid Phonons in Nanostructures
Author(s):

B. K. Ridley

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198788362.003.0011

Nanostructures in which the electrons are confined in two directions and unconfined in the third are known as quantum wires. Theories of electron confinement and phonon spectrum in quantum wires have focused on two simple geometries: wires with rectangular cross section and wires with circular cross section. This chapter covers: scalar and vector potentials in cylindrical coordinates; ionic displacement components for longitudinally polarized modes, and for transversely polarized modes, and for interface modes; hybrid LO modes; energy normalization; acoustic stresses and strains; particle displacements for LA, TA1, and TA2 modes; and free surface.

Keywords:   quantum wires, hybrid modes, free surface, nanostructures

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