Screened Coulombic impurity bound states in semi-infinite multiple-quantum-well systems

Abstract
The binding energy of an electron to a screened charged impurity in a semi-infinite array of quantum wells is calculated as a function of free-electron concentration, separation of the quantum wells, and the position of the impurity. It is shown that the binding energy is strongly enhanced at the vacuummultiple-quantum-well interface. The binding energy as a function of three-dimensional free-electron density can show two- or three-dimensional behavior depending upon the way in which the density is varied.