Phys. Rev. B 77
, 125335 (2008)
Band-bending effects on the electronic properties of square quantum wells
D. N. Quang, and N. H. Tung
We present a theory of the band-bending effects on two-dimensional _2D_ carriers confined in a modulationdoped square quantum well.We develop a tractable variational evaluation of several physical quantities that are important in the theory of 2D systems. Analytic expressions of the envelope wave function and the 2D screening form factor allow us to compute various electronic properties such as electrical mobility, density of states in the presence or in the absence of magnetic fields, and Landau level broadening. We prove that in the case of the interface roughness scattering, the band-bending effects lead to a peak in the channel-width dependence of the mobility and a minimum in the Landau level broadening. Our modeling explains recent measurements for a 2D hole gas.