FIZIKA A 12 (2003) 1 , 41 - 54

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POLAR INTERFACE OPTICAL OSCILLATION AND FRÖHLICH ELECTRON-PHONON INTERACTION HAMILTONIANS IN A n-LAYER COUPLING QUANTUM WELL

LI ZHANGa and HONG-JING XIEb

aDepartment of Mechanism and Electron, Panyu Polytechnic,
Panyu 511483, P. R. China
E-mail address: [email protected]
Tel.: +86-20-34514451(H); +86-20-86237563(O)
bDepartment of Physics, Guihuagang Campus, Guangzhou University,
Guangzhou 510405, P. R. China

Received 20 November 2002; revised manuscript received 9 June 2003
Accepted 23 June 2003        Online 20 September 2003

Under dielectric continuum approximation and by using determinant method, the interface optical (IO) phonon modes, the orthogonal relation for polarization vector and electron - IO phonon Fröhlich interaction Hamiltonian in a n-layer coupling quantum well have been derived. Numerical calculations on seven-layer AlxGa1-xAs/GaAs systems have been performed. The IO phonon dispersion relation and the electron - IO phonon coupling function are discussed. Based on the numerical results in this and previous work, general characteristics of the IO phonon modes in a n-layer coupling quantum well system are deduced. The present investigations can be regarded as a generalization of previous studies.

PACS numbers: 74.25.Kc; 71.38.-k; 63.20.Kr
UDC 538.971

Keywords: multi-layer coupling quantum well, seven-layer AlxGa1-xAs/GaAs systems, interface optical phonon modes and dispersion relation

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