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SO phonons in spherical nanostructured quantum dots
Author(s) -
Comas F.,
Odriazola A.
Publication year - 2005
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.200440005
Subject(s) - phonon , hamiltonian (control theory) , semiconductor , condensed matter physics , physics , nanostructure , semiconductor nanostructures , quantum dot , dielectric , wave function , quantum , angular momentum , quantum mechanics , mathematics , mathematical optimization
A theoretical model for a nanostructured spherical Quantum Dot (QD) is considered, where to a core sphere of semiconductor “1” it is added a concentric spherical layer of semiconductor “2”, while this structure is assumed as imbedded in an infinite medium made of semiconductor “1”. Using a long‐wave continuum approach, the so‐called dielectric continuum approach, we study the surface optical (SO) phonons associated with the two spherical interfaces of the nanostructure. The possible SO phonon frequencies are analyzed as a function of both the sizes of the structure and the angular momentum quantum number l = 1, 2, …. We also calculate the electric potential provided by the SO phonons and derive an analytical expression for the electron–phonon interaction Hamiltonian. Different possible cases for semiconductors “1” and “2” are discussed, comparisons with previously published works on similar subjects are done and the experimental techniques allowing the possible determination of this kind of phonons are invoked. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)