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The properties of polar optical phonon vibrations in a quasi-zero- dimensional (QOD) anisotropic wurtzitecylindrical quantum dot (QD) are analyzed based on the dielectric continuum model and Loudon’s uniaxial crystal model.The analytical electrostatic potentials of the phonon vibrations in the systems are deduced and solved exactly.The resultshows that there exist four types of polar mixing optical phonon modes in the QOD wurtzite cylindrical QD systems.Thedispersive equations and electron-phonon coupling function for the quasi-confined-half-space (QC-HS) mixing modes arederived and discussed.It is found that once the radius or the height of the QD approach infinity,the dispersive equationsof the QC-HS mixing modes in the QOD cylindrical QD can naturally reduce to those of the QC and HS modes in Q2DQWs or Q1D QWWs systems.This has been analyzed reasonably from both of physical and mathematical viewpoints.
The properties of polar optical phonon vibrations in a quasi-zero-dimensional (QOD) areotropic based on the dielectric continuum model and Loudon’s uniaxial crystal model. The analytical electrostatic potentials of the phonon vibrations in the systems are deduced and specifically designed for the resultshows that there exist four types of polar mixing optical phonon modes in the QOD wurtzite cylindrical QD systems. Duispersive equations and electron-phonon coupling function for the quasi-confined-half-space (QC-HS) mixing modes arederived and discussed. It is found that once the radius or the height of the QD approach infinity, the dispersive equations of the QC-HS mixing modes in the QOD cylindrical QD can naturally reduce to those of the QC and HS modes in Q2DQWs or Q1D QWWs systems.This has been analyzed reasonably from both physical and mathematical viewpoints.