POLAR OPTICAL VIBRATIONAL-MODES IN QUANTUM DOTS

被引:213
作者
ROCA, E [1 ]
TRALLEROGINER, C [1 ]
CARDONA, M [1 ]
机构
[1] MAX PLANCK INST FESTKORPERFORSCH, D-70569 STUTTGART, GERMANY
关键词
D O I
10.1103/PhysRevB.49.13704
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A macroscopic continuum model coupling the mechanical vibrational amplitude and electrostatic potential is applied to obtain the optical vibrational modes in quantum-dot structures. A unified method of solution (valid for any type of nanostructure) that reduces the four coupled second-order differential equations to Helmholtz's and Laplace's equations is described. Analytical solutions for the vibrational amplitude and the Frohlich-type electron-phonon interaction are given for quantum dots with spherical geometry. The existence of surface modes and their relation to the matching boundary conditions are studied. A qualitative discussion of the ir and Raman activity of the calculated modes is given together with a comparison with the few existing experimental data.
引用
收藏
页码:13704 / 13711
页数:8
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