Abstract
In this paper, the dielectric continuum model is adopted to investigate the influence from two-mode property of transverse optical (TO) phonons on the optical phonons in wurtzite Al x Ga1- x N quantum wells (QWs). Firstly, a quadratic polynomial fitting has been proposed to approximate frequencies of TO phonons of Al x Ga1- x N and to obtain the consistent values of GaN and AlN when x is 0 and 1 respectively. Furthermore, the dielectric functions of Al x Ga1- x N varying with the Al component have been analyzed. The results show that the one-mode or two-mode behavior of TO phonons will lead to one or two resonant frequencies of dielectric functions. Finally, as an example, the dispersion relations and electrostatic potential of interface and confined optical phonons in AlN/Al x Ga1- x N/AlN QWs have been calculated. The results indicate that the two-mode property of TO phonons in AlGaN should not be ignored in the calculation of optical phonons in QWs and related theoretical works.
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