Abstract
We analyze the electronic states in the cylindrical quantum well-wire (QWW) with randomly distributed neutral, D 0 and negatively charged D − donors. In order to calculate the ground state energies of the off-center donors D 0 and D − as a function of the distance from the axis of QWW we use the recently developed fractal dimension method in which the problems are reduced to a similar one for a hydrogen-like atom and a negative-hydrogen-like ion respectively, in an isotropic effective space with variable fractional dimension. The numerical trigonometric sweep method and the three-parameter Hylleraas trial function are used to solve these problems. We present a novel curves for the density of impurity states in a cylindrical QWWs with square-well, parabolic and soft-edge barrier potentials. Additionally we analyze the effect of the repulsive core on the density of the impurity states.
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