Electron states in size-quantized semiconductor wire with coating

The electron states in a size-quantized semiconductor wire with a semiconductor coating having greater than the wire forbidden band width are considered assuming that confining potential on the coating external boundary is infinite (the staircase infinitely well model -SIW). The wave functions are found and the equation is obtained for defining energy eigenvalues. The binding energy of a hydrogenic impurity located on the wire axis is calculated using the variational approach. The behavior of energy levels and the binding energy of impurity in the GaAs-Ga1-xAlxAs SIW is investigated depending on the alloy concentration x and the effective-mass ratio. 17 refs