Ground-state Shallow-donor Binding Energy in (In,Ga)N/GaN Double QWs Under Temperature, Size, and the Impurity Position Effects

Redouane En-nadir; Haddou  El Ghazi; Anouar Jorio; Izeddine Zorkani

doi:10.21467/jmsm.4.1.1-6

Authors

Redouane En-nadir LPS, FSDM, Sidi Mohammed Ben Abdellah University, Fes, Morocco https://orcid.org/0000-0002-5064-0028
Haddou El Ghazi ENSAM Laboratory, ENSAM, Hassan II University, Casablanca, Morocco
Anouar Jorio LPS, FSDM, Sidi Mohammed Ben Abdellah University, Fes, Morocco
Izeddine Zorkani LPS, FSDM, Sidi Mohammed Ben Abdellah University, Fes, Morocco

DOI:

https://doi.org/10.21467/jmsm.4.1.1-6

Abstract

In this paper, we study the hydrogen-like donor-impurity binding energy of the ground-state change as a function of the well width under the effect of temperature, size, and impurity position. Within the framework of the effective mass approximation, the Schrodinger-Poisson equation has been solved taken account an on-center hydrogen-like impurity in double QWs with rectangular finite confinement potential profile for 10% of indium concentration in the (well region). The eigenvalues and their correspondent eigenvectors have been obtained by the fined element method (FEM). The obtained results are in good agreement with the literature and show that the temperature, size, and the impurity position have a significant impact on the binding energy of a hydrogen-like impurity in symmetric double coupled quantum wells based on non-polar wurtzite (In,Ga) N/GaN core/Shell.

Keywords:

Binding Energy, Finite Confinement Potential, Double QWs, Temperature and Impurity

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References

N. Bochkareva, A. Ivanov, A. Klochkov and Y. Shreter, "Gaussian impurity bands in GaN and weakening of carrier confinement in InGaN/GaN quantum wells", Journal of Physics: Conference Series, vol. 1697, p. 012203, 2020. https://doi.org/10.1088/1742-6596/1697/1/012203

C. Bose and C. Sarkar, "Effect of a parabolic potential on the impurity binding energy in spherical quantum dots", Physica B: Condensed Matter, vol. 253, no. 3-4, pp. 238-241, 1998. https://doi.org/10.1016/s0921-4526(98)00407-4

Y. Li et al., "High-efficiency near-UV light-emitting diodes on Si substrates with InGaN/GaN/AlGaN/GaN multiple quantum wells", Journal of Materials Chemistry C, vol. 8, no. 3, pp. 883-888, 2020. https://doi.org/10.1039/c9tc06138j

B. Su, H. He, H. Zhang, X. Pan and Z. Ye, "Photoluminescence properties of ZnO/ZnMgO multiple quantum wells under high excitation", Superlattices and Microstructures, vol. 139, p. 106418, 2020. https://doi.org/10.1016/j.spmi.2020.106418

K. Fellaoui, A. Oueriagli and D. Abouelaoualim, "Linear and nonlinear optical absorptions in IIIâ€“V nitrides quantum well with semi-parabolic confining potential", Indian Journal of Physics, vol. 93, no. 10, pp. 1353-1357, 2019. https://doi.org/10.1007/s12648-019-01378-x

W. Belaid, H. El Ghazi, I. Zorkani and A. Jorio, "Impact of QW coupling on the binding energy in InGaN/GaN under the effects of the size, the impurity and the internal composition", MATEC Web of Conferences, vol. 330, p. 01012, 2020. https://doi.org/10.1051/matecconf/202033001012

H. Ghazi, A. Jorio and I. Zorkani, "Pressure-dependent shallow donor binding energy in InGaN/GaN square QWWs", Physica B: Condensed Matter, vol. 410, pp. 49-52, 2013. https://doi.org/10.1016/j.physb.2012.10.027

X. Qi, X. Kong and J. Liu, "Effect of a spatially dependent effective mass on the hydrogenic impurity binding energy in a finite parabolic quantum well", Physical Review B, vol. 58, no. 16, pp. 10578-10582, 1998. https://doi.org/10.1103/physrevb.58.10578

A. Sali and H. Satori, "The combined effect of pressure and temperature on the impurity binding energy in a cubic quantum dot using the FEM simulation", Superlattices and Microstructures, vol. 69, pp. 38-52, 2014. https://doi.org/10.1016/j.spmi.2014.01.011

P. BaÅŸer, I. Altuntas and S. Elagoz, "The hydrostatic pressure and temperature effects on hydrogenic impurity binding energies in GaAs/InxGa1-xAs/GaAs square quantum well", Superlattices and Microstructures, vol. 92, pp. 210-216, 2016. https://doi.org/10.1016/j.spmi.2015.12.010

H. Karki, S. Elagoz and P. BaÅŸer, "Simultaneous effects of hydrostatic pressure and temperature on the binding energy of hydrogenic impurity in cylindrical quantum well wires", Superlattices and Microstructures, vol. 48, no. 3, pp. 298-304, 2010. https://doi.org/10.1016/j.spmi.2010.06.021

M. El-Yadri, N. Aghoutane, A. El Aouami, E. Feddi, F. Dujardin and C. Duque, "Temperature and hydrostatic pressure effects on single dopant states in hollow cylindrical core-shell quantum dot", Applied Surface Science, vol. 441, pp. 204-209, 2018. https://doi.org/10.1016/j.apsusc.2018.01.195

Y. Dong et al., "The binding energy and dynamics of charge-transfer states in organic photovoltaics with low driving force for charge separation", The Journal of Chemical Physics, vol. 150, no. 10, p. 104704, 2019. https://doi.org/10.1063/1.5079285

M. Karimi, G. Rezaei and M. Nazari, "Linear and nonlinear optical properties of multilayered spherical quantum dots: Effects of geometrical size, hydrogenic impurity, hydrostatic pressure and temperature", Journal of Luminescence, vol. 145, pp. 55-60, 2014. https://doi.org/10.1016/j.jlumin.2013.07.046

H. Bahramiyan and R. Khordad, "Effect of various factors on binding energy of pyramid quantum dot: pressure, temperature and impurity position", Optical and Quantum Electronics, vol. 46, no. 5, pp. 719-729, 2013. https://doi.org/10.1007/s11082-013-9782-1

R. Khordad, "Effect of temperature on the binding energy of excited states in a ridge quantum wire", Physica E: Low-dimensional Systems and Nanostructures, vol. 41, no. 4, pp. 543-547, 2009. https://doi.org/10.1016/j.physe.2008.10.004