介电常数
带隙
半导体
磷化镓
色散(光学)
材料科学
直接和间接带隙
Kramers–Kronig关系
电介质
非晶硅
凝聚态物理
光学
光电子学
硅
物理
折射率
晶体硅
作者
Kevin Lizarraga Olivares,L.L. Moran,Alvaro Tejada,Miguel Piñeiro,Paul Llontop,Erick Serquen Infante,Erik Perez,Lars Korte,Jorge Andrés Guerra
标识
DOI:10.1088/1361-6463/acd859
摘要
Abstract We propose new optical dispersion models to describe the imaginary part of the electrical permittivity of dielectric and semiconductor materials in the fundamental absorption region. We work out our procedure based on the well-known structure of the semi-empirical Tauc–Lorentz dispersion model and the band-fluctuations approach to derive a five-parameter formula that describes the Urbach, Tauc and high-absorption regions of direct and indirect semiconductors. Main features of the dispersion models are the self-consistent generation of the exponential Urbach tail below the bandgap and the incorporation of the Lorentz oscillator behavior due to electronic transitions above the fundamental region. We apply and test these models on optical data of direct (MAPbI 3 , gallium arsenide and indium phosphide), indirect (gallium phosphide and crystalline silicon), and amorphous hydrogenated silicon semiconductors, accurately describing the spectra of the imaginary part of the electrical permittivity. Lastly, we compare our results with other similarly inspired dispersion models to assess the optical bandgap, Urbach tail and oscillator central resonance energy.
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