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Polar propagating optical phonon states and their dispersive spectra in wurtzite nitride superlattices: Quantum size effect
Authors:L Zhang  Peng-Ming Shao
Institution:1. Department of Mechanism and Electron, Guangzhou Panyu Polytechnic, Panyu, 511483, People’s Republic of China;2. School of Information Engineering, Guangzhou Panyu Polytechnic, Panyu, 511483, People’s Republic of China
Abstract:The polar optical phonon states of propagating (PR) modes in wurtzite GaN/AlxGa1−xN superlattices (SLs) are investigated within the dielectric continuum model framework. It is proved that the PR phonon modes only appear in wurtzite GaN/AlxGa1−xN SL with a small xx Al mole ratio concentration (such as x<0.34x<0.34). The analytical phonon states of PR modes and their dispersive equation in the wurtzite GaN/AlxGa1−xN SL structures are obtained. Numerical calculations on the dispersive spectra of PR modes and their electrostatic potential properties as well as the quantum size effect are performed for a wurtzite GaN/Al0.15Ga0.85N SL. Results reveal that dispersive curves of PR modes in SLs form frequency bands. As the well width of GaN well-layer increases, the frequency bands of PR modes become steeper and narrower. The discussion of electrostatic potentials shows that the wavelength of PR phonon modes with a phase qL=πqL=π (0) is 2L2L (LL). With the increase of the SL well width, the wave-node number of the PR phonon modes in the barrier regions increases. The present theoretical scheme and numerical results are quite useful for analyzing the dispersive spectra of PR phonon modes and their polaronic effect in wurtzite GaN/AlGaN SL structures.
Keywords:Propagating phonon modes  Dispersive spectra  Wurtzite superlattices  Quantum size effect
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