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The influence of the tilted electric field on the stability of the excited states of neutral donor impurity (D0) in a cylindrical quantum wire (CQW) is investigated. We consider the finite parabolic confinement potential in the CQW. The energies and wave functions for the on- and off-center D0 states are calculated using the variational principle within the single-band effective mass approximation. Moreover, the dependence of Stark shift ΔE in the ground and excited state energies of D0 on the tilted electric field are obtained. The tilted electric field strength is found to have a certain angle at which the states of D0 turn from bound to unbound. For the off-center donor impurity in the intermediate region of the angle, the binding energy of D0 descends rapidly in both the strong and weak confinement regions, and it increases again in the limit of the total lateral electric field. Moreover, our results show a reordering of the on- and off-center D0 energy states when moving from the strong confinement region towards the weak confinement region. The ground state of the off-center D0 loses its stability, faster in the tilted electric field than both the normal and the total lateral electric fields. The Stark shift in D0 shows a blue shift, and in some states of D0, it increases quadratically with the enhancement in the tilted electric field.

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