Barrier penetration effects for electrons in quantum wells: screening,mobility, and shallow impurity states |
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Authors: | A Gold |
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Institution: | (1) Groupe de Physique des Solides de l'Ecole Normale Supérieure, Université Paris 7, Tour 23, 2 place Jussieu, F-75251 Paris, France |
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Abstract: | A two-dimensional electron gas in a quantum well confined by finite barriers is considered. We present analytical expressions for the finite confinement effects of a square-well potential and calculate the electron-electron interaction potential, the electron-impurity interaction potential, the interface-roughness scattering potential and the alloy-disorder scattering potential. The dielectric function of the interacting electron gas, the mobility (for charged-impurity scattering, for interface-roughness scattering, and for alloy-disorder scattering), and the binding energy of hydrogenic impurities (screened and unscreened) are discussed. |
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