Analytical solutions for the optical absorption of semiconductor superlattices

Simulations of mid infrared emission of InAsN semiconductors

“…The bound states are given by In equation (1) above, the band gap renormalization stems from the Mott criterion. This choice of bandgap renormalization is usually in good agreement with the full Green's function approach and the single Plasmon pole approximation (SPPA) simplified under a quasistatic approximation [18]. …”

“…, where is g e h E µ µ µ = + + which can be estimated with an analytical approximation [18]. The typical Yukawa potential used to represent the screened Coulomb potential does not have simple analytical solutions.…”

“…Efficient numerical methods used here have been successfully applied to both intersubband [8][9][10][11][12][13][14] and interband transitions [15][16][17] in quantum wells and superlattices. This paper starts from a similar approach that can also describe superlattices as effective 3D anisotropic media [18,19] and leads to very accurate approximations. We start with the isotropic limit of the interband polarization in an effective anisotropic 3D material [18].…”

“…This paper starts from a similar approach that can also describe superlattices as effective 3D anisotropic media [18,19] and leads to very accurate approximations. We start with the isotropic limit of the interband polarization in an effective anisotropic 3D material [18]. Only diagonal dephasing is used and the population difference factor is given by ( ) ( ) ( )…”

“…The typical Yukawa potential used to represent the screened Coulomb potential does not have simple analytical solutions. We thus replace it with the Hulthén potential [18]. We use an analytical average for the dephasing Γ that partially simulates the electron-electron, electron-phonon and electron-impurity scattering [20][21][22], which would be required for increased predictability and are being included in the approach for dilute nitrides.…”