“…Here, e is the elementary charge, is the reduced Planck constant, m z and m * are the out-of-plane and the inplane effective masses of the electron, f 10 is the oscillator strength for the transition E 0 → E 1 , E 10 = E 1 − E 0 is the intersubband energy separation (the ground state and the 1 st excited state), f (E) is the Fermi distribution function, 2Γ(E) means the full width at half maximum (FWHM) of the Lorentzian lineshape with energy E, and Γ(E) is the relaxation rate due to scattering processes given by [9,12,20] …”