Abstract
By employing the dielectric continuum model and Loudon'suniaxial crystal model, the interface optical (IO) phonon modesin a freestanding quasi-one-dimensional (Q1D) wurtzite rectangularquantum wire are derived and analyzed. Numerical calculation on afreestanding wurtzite GaN quantum wire is performed. The resultsreveal that the dispersion frequencies of IO modes sensitivelydepend on the geometric structures of the Q1D wurtzite rectangularquantum wires, the free wave-number kz in z-direction and thedielectric constant of the nonpolar matrix. The degeneratingbehavior of the IO modes in Q1D wurtzite rectangular quantum wirehas been clearly observed in the case of small wave-number kz andlarge ratio of length to width of the rectangular crossing profile.The limited frequency behaviors of IO modes have been analyzed deeply,and detailed comparisons with those in wurtzite planar quantum wellsand cylindrical quantum wires are also done. The present theories canbe looked on as a generalization of that in isotropic rectangularquantum wires, and it can naturally reduce to the case of Q1D isotropicquantum wires once the anisotropy of the wurtzite material is ignored.
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