Infrared dielectric function, phonon modes and free-charge carrier properties of high-Al-content Alx_xGa1−x_{1-x}N alloys determined by mid-infrared spectroscopic ellipsometry and optical Hall effect

preprint2015arXivOpen access

Abstract

The phonon mode parameters and anisotropic mid-infrared dielectric function tensor components of high- Al-content Alx_xGa1−x_{1-x}N alloys in dependence of the Al content xx are precisely determined from mid-infrared spectroscopic ellipsometry measurements for a set of high-quality Si-doped Alx_xGa1−x_{1-x}N epitaxial layers on 4H-SiC substrates. Two-mode behavior of the E1E_1(TO) modes and one-mode behavior of the A1A_1(LO) mode are found in agreement with previous Raman scattering spectroscopy reports. The composition dependencies of the IR active phonon frequency parameters are established and a discussion on the silent B1B_1 mode that may be disorder activated is provided. The static dielectric constants in dependence of xx are determined by using the best-match model derived phonon mode frequency and high-frequency dielectric constant parameters and applying the Lydanne-Sachs-Teller relation. The effective mass parameter in high-Al-content Alx_xGa1−x_{1-x}N alloys and its composition dependence are determined from mid-infrared optical Hall effect measurements. Furtheremore, the free electron concentration NN and mobility parameters μμ of Alx_xGa1−x_{1-x}N films with similar Si doping levels are investigated as function of the Al content, xx and discussed.

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