Abstract
Green’s function technique is used to obtain the solution of Shredinger equation for impurity states in a quantum well (QW) under the magnetic field. Binding energy of impurity states is defined as poles of the wave function. We studied effects of the magnetic field magnitude and impurity position on the binding energy. The calculations were performed for both ground and excited states. The dependences of binding energies versus impurity position and magnetic field are presented for GaAs/Al0.3Ga0.7As QW.
Highlights
Since Bastard calculated [1] the impurity binding energy in quantum well (QW) for the very first time many works on this subject have been published
The dependences of binding energies versus impurity position and magnetic field are presented for GaAs/Al0.3Ga0.7As QW
Taking into account the fact that the values of magnetic fields generally used in the experiments are more than 1 Тesla, for which the result is steady at Rmax = 10, such situation is not seen as critical
Summary
Since Bastard calculated [1] the impurity binding energy in QW for the very first time many works on this subject have been published. Their main purpose is to determine the binding energy of impurity states. An alternative nonvariational method to calculate the binding energy of impurity states in a QW was developed in [7]. Our method allowed to receive the binding energy and wave functions of IS in a QW under magnetic field of arbitrary strength. We used our method for various impurity location and values of magnetic fields in GaAs/Al0.3Ga0.7As QW
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