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FIZIKA A 12 (2003) 1 , 41 - 54
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: zhangli-gz@263.net
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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