• Perturbation method for calculating impurity binding energy in an inhomogeneous cylindrical quantum dot with dielectric mismatch

• # Fulltext

Permanent link:
https://www.ias.ac.in/article/fulltext/pram/090/01/0007

• # Keywords

Cylindrical quantum dots; shallow hydrogenic impurity; effective mass boundary conditions

• # Abstract

In the present paper, we have studied the binding energy of the shallow donor hydrogenic impurity, which is confined in an inhomogeneous cylindrical quantum dot (CQD) of $\rm{GaAs-Al_{x}Ga_{1−x}As}$. Perturbation method is used to calculate the binding energy within the framework of effective mass approximation and taking into account the effect of dielectric mismatch between the dot and the barrier material. The ground-state binding energy of the donor is computed as a function of dot size for finite confinement. The result shows that the ground-state binding energy decreases with the increase in dot size. The result is compared with infinite dielectric mismatch as a limiting case. The binding energy of the hydrogenic impurity is maximum for an on-axis donor impurity.

• # Author Affiliations

1. Department of Physics, Silli Polytechnic, Ranchi 835 102, India
2. Department of Physics, Delhi Public School, Ranchi 834 004, India
3. University Department of Physics, Ranchi University, Ranchi 834 008, India

• # Pramana – Journal of Physics

Volume 97, 2023
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Posted on July 25, 2019

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