Fröhlich Electron-Interface Optical Phonon Interactions in n-Layer Low-dimensional Coupling Quantum Structures

Physics

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Scientific paper

Within the framework of the dielectric continuum (DC) approximation, by using the transfer matrix method, uniform descriptions for the interface optical (IO) phonon modes and the Frhlich electron-IO phonon interaction Hamiltonians in n-layer coupling low-dimensional quantum systems (including the coupling quantum well (CQW), coupling quantum-well wire (CQWW) and coupling quantum dot (CQD)) have been deduced and investigated. Numerical calculation on three-layer AlGaAs/GaAs systems reveals that, when the wave-vector or quantum number in the three types of quantum confined systems (CQW, CQWW and CQD) approach infinity, each frequency of the IO phonon approaches one of the frequencies in single planar heterostructure, and the math and physical reasons for this feature have been explained and specified. The limited behavior of IO phonon frequency when the wave-vector or quantum number in these systems approach zero have also been displayed and analyzed.

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