Effect of polarization charges on impurity binding energy in elliptical quantum wire

•A suitable change of variable transforms the elliptical quantum wire into the circular QWR.•The energy levels of carriers in the presence of impurity are calculated.•The polarization charges due to dielectric mismatch are considered.•The variational method is used to obtain the energy of carriers in the elliptical quantum wire.•The impurity binding energy in terms of ellipticity constant is calculated.

The binding energy of hydrogenic impurity located at the center of elliptical quantum wire using the effective mass approximation and an appropriate coordinate transformation is calculated for CdS/SiO2 structure. The effect of surface polarization charges due to impurity on the impurity binding energy is considered. The results clearly indicate that the binding energy depends not only on the polarization charges but also on the ellipticity constant.

Graphical abstractGraphical abstract The variation of binding energy versus radius of quantum wire with (solid curve) and without (dashed curve) effect of charge polarization for β = 0.05.Figure optionsDownload full-size imageDownload as PowerPoint slide