Theoretical study of the non-parabolicity and size effects on the diamagnetic susceptibility of donor impurity in Si, HgS and GaAs cylindrical quantum dot and quantum disk: applied magnetic field influence is considered

References

• C. Ran, J. Xu, W. Gao, C. Huang, and S. Dou, Defects in metal triiodide perovskite materials towards high-performance solar cells: Origin, impact, characterization, and engineering. Chem. Soc. Rev. 47(12) (Jun. 2018), pp. 4581–4610. doi:10.1039/C7CS00868F.
   PubMed Web of Science ®Google Scholar
• B. Sopori, C. Li, S. Narayanan, and D. Carlson, Efficiency limitations of multicrystalline silicon solar cells due to defect clusters. MRS Online Proc. Libr. 864(1) (Oct. 2005), p. 62–864. doi:10.1557/PROC-864-E6.2.
   Google Scholar
• J. Ye, M.M. Byranvand, C.O. Martínez, R.L.Z. Hoye, M. Saliba, and L. Polavarapu, Defect passivation in lead-halide perovskite nanocrystals and thin films: Toward efficient LEDs and solar cells. Angew. Chem. Int. Ed. 60(40) (2021), pp. 21636–21660. doi:10.1002/anie.202102360.
   PubMed Web of Science ®Google Scholar
• A. Saeki, M. Tsuji, and S. Seki, Direct evaluation of intrinsic optoelectronic performance of organic photovoltaic cells with minimizing impurity and degradation effects. Adv. Energy Mater. 1(4) (2011), pp. 661–669. doi:10.1002/aenm.201100143.
   Web of Science ®Google Scholar
• W. Szuszkiewicz, E. Dynowska, P. Dłużewski, W. Paszkowicz, A. Szczepańska, and B. Witkowska, Growth and structural characterization of zinc blende HgS. Phys. Status Solidi B 229(1) (2002), pp. 73–77. doi:10.1002/1521-3951(200201)229:1<73::AID-PSSB73>3.0.CO;2-6.
   Google Scholar
• H. Kangarlou and S. Asgary, Investigation of structural and optical properties of deposited mercury sulphide thin layers as a function of growth time. Philos. Mag. 102(0) (May 2022), pp. 1–16. doi:10.1080/14786435.2022.2080294.
   Google Scholar
• C.-H. Hsu, J.-R. Wu, Y.-T. Lu, D.J. Flood, A.R. Barron, and L.-C. Chen, Fabrication and characteristics of black silicon for solar cell applications: An overview. Mater. Sci. Semicond. Process. 25 (Sep. 2014), pp. 2–17. doi:10.1016/j.mssp.2014.02.005.
   Web of Science ®Google Scholar
• N.D. Shcherban, Review on synthesis, structure, physical and chemical properties and functional characteristics of porous silicon carbide. J. Ind. Eng. Chem. 50 (Jun. 2017), pp. 15–28. doi:10.1016/j.jiec.2017.02.002.
   Web of Science ®Google Scholar
• H. Ehrenreich, Band structure and transport properties of some 3–5 compounds. J. Appl. Phys. 32(10) (Oct. 1961), pp. 2155–2166. doi:10.1063/1.1777035.
   Google Scholar
• H. Ehrenreich, Band structure and electron transport of GaAs. Phys. Rev. 120(6) (Dec. 1960), pp. 1951–1963. doi:10.1103/PhysRev.120.1951.
   Google Scholar
• H.E. Ghazi, A. Jorio, and I. Zorkani, Impurity binding energy of lowest-excited state in (In,Ga)N–GaN spherical QD under electric field effect. Phys. B Condens. Matter 426 (Oct. 2013), pp. 155–157. doi:10.1016/j.physb.2013.06.004.
   Web of Science ®Google Scholar
• R. Khordad, Diamagnetic susceptibility of hydrogenic donor impurity in a V-grooveGaAs/Ga1-xAlxAs quantum wire. Eur. Phys. J. B 78(3) (Dec. 2010), pp. 399–403. doi:10.1140/epjb/e2010-10290-x.
   Web of Science ®Google Scholar
• P. Nithiananthi and K. Jayakumar, Diamagnetic susceptibility of hydrogenic donor impurity in low-dimensional semiconducting systems. Solid State Commun. 137(8) (Feb. 2006), pp. 427–430. doi:10.1016/j.ssc.2005.12.025.
   Web of Science ®Google Scholar
• W. Xie, Photoionization and third-order susceptibility of a neutral donor in ZnS/InP/ZnSe core/shell spherical quantum dots. Phys. B Condens. Matter. 449 (Sep. 2014), pp. 57–60. doi:10.1016/j.physb.2014.04.075.
   Web of Science ®Google Scholar
• R. Khordad and N. Fathizadeh, Simultaneous effects of temperature and pressure on diamagnetic susceptibility of a shallow donor in a quantum antidot. Phys. B Condens. Matter. 407(8) (Apr. 2012), pp. 1301–1305. doi:10.1016/j.physb.2012.01.133.
   Web of Science ®Google Scholar
• M. Solaimani, Binding energy and diamagnetic susceptibility of donor impurities in quantum dots with different geometries and potentials. Mater. Sci. Eng. B 262 (Dec. 2020), p. 114694–114694. doi:10.1016/j.mseb.2020.114694.
   Web of Science ®Google Scholar
• R. En-nadir, H. El Ghazi, A. Jorio, and I. Zorkani, Ground-state shallow-donor binding energy in (In,Ga)N/GaN double QWs under temperature, size, and the impurity position effects. J. Model. Simul. Mater. 4 (Mar. 2021), pp. 1–6. doi:10.21467/jmsm.4.1.1-6.
   Google Scholar
• F. Dujardin, A. Oukerroum, E. Feddi, J. Bosch Bailach, J. Martínez-Pastor, and M. Zazi, Effect of a lateral electric field on an off-center single dopant confined in a thin quantum disk. J. Appl. Phys. 111(3) (2012), pp. 034317–034317.
   Web of Science ®Google Scholar
• F. Dujardin, E. Feddi, A. Oukerroum, J. Bosch Bailach, J. Martínez-Pastor, and E. Assaid, Lateral induced dipole moment and polarizability of excitons in a ZnO single quantum disk. J. Appl. Phys. 113(6) (2013), pp. 064314–064314.
   Web of Science ®Google Scholar
• R. Charrour, M. Bouhassoune, M. Barnoussi, and M. Fliyou, Charge carrier–phonon coupling in cylindrical quantum dots. Phys. Status Solidi B 219(2) (2000), pp. 287–297.
   Google Scholar
• H.R. Rastegar Sedehi, R. Khordad, and H. Bahramiyan, Optical properties and diamagnetic susceptibility of a hexagonal quantum dot: Impurity effect. Opt. Quantum Electron. 53(5) (May 2021), pp. 264–264. doi:10.1007/s11082-021-02927-7.
   Google Scholar
• A. Mmadi, K. Rahmani, I. Zorkani, and A. Jorio, Diamagnetic susceptibility of a magneto-donor in inhomogeneous quantum dots. Superlattices Microstruct. 57 (May 2013), pp. 27–36. doi:10.1016/j.spmi.2013.01.006.
   Web of Science ®Google Scholar
• P. Nithiananthi and K. Jayakumar, Pressure study on the semiconductor–metal transition in a quantum well. Phys. Status Solidi B 246(6) (2009), pp. 1238–1242. doi:10.1002/pssb.200945023.
   Google Scholar
• S. Kumar and A.J. Peter, Diamagnetic susceptibility of two donors in a parabolic GaAs/GaAlAs quantum dot. J. Nanoelectron. Optoelectron. 7 (Aug. 2012), pp. 376–380. doi:10.1166/jno.2012.1324.
   Web of Science ®Google Scholar
• A. Sali, J. Kharbach, A. Rezzouk, and M. Ouazzani Jamil, The effects of polaronic mass and conduction band non-parabolicity on a donor binding energy under the simultaneous effect of pressure and temperature basing on the numerical FEM in a spherical quantum dot. Superlattices Microstruct. 104 (Apr. 2017), pp. 93–103. doi:10.1016/j.spmi.2017.02.014.
   Web of Science ®Google Scholar
• R. En-nadir, H. El Ghazi, W. Belaid, H. Abboudi, F.a. Jabouti, A. Jorio, and I. Zorkani, The confinement profile effect on the optical properties in different inverse-shaped single InGaN/GaN quantum wells. Iraqi J. Sci. 20 (Mar. 2022), pp. 1–13. doi:10.30723/ijp.v20i1.965.
   Google Scholar
• Effect of conduction band non-parabolicity on the donor states in GaAs–(Al,Ga)As spherical quantum dots - ScienceDirect. Available at https://www.sciencedirect.com/science/article/abs/pii/S1386947706000555 (accessed Jul. 01, 2022).
   Google Scholar
• K. El-Bakkari, A. Sali, E. Iqraoun, and A. Ezzarfi, Polaron and conduction band non-parabolicity effects on the binding energy, diamagnetic susceptibility and polarizability of an impurity in quantum rings. Superlattices Microstruct. 148 (Dec. 2020), p. 106729. doi:10.1016/j.spmi.2020.106729.
   Web of Science ®Google Scholar
• G. Rezaei and N.A. Doostimotlagh, External electric field, hydrostatic pressure and conduction band non-parabolicity effects on the binding energy and the diamagnetic susceptibility of a hydrogenic impurity quantum dot. Phys. E Low-Dimens. Syst. Nanostructures 44(4) (Jan. 2012), pp. 833–838. doi:10.1016/j.physe.2011.12.011.
   Web of Science ®Google Scholar
• S. Janati Edrissi, S. M’Zerd, I. Zorkani, K. Rahmani, Y. Chrafih, and A. Jorio, Pressure effect on the diamagnetic susceptibility of donor in HgS and GaAs cylindrical quantum dot. J. Nanophotonics 13 (Apr. 2019), p. 026015. doi:10.1117/1.JNP.13.026015.
   Web of Science ®Google Scholar
• A. Zounoubi, I. Zorkani, K. El Messaoudi, and A. Jorio, Magnetic field effect on the polarizability of shallow donor in cylindrical quantum dot. Phys. Lett. A 312(3–4) (Jun. 2003), pp. 220–227. doi:10.1016/S0375-9601(03)00640-6.
   Web of Science ®Google Scholar
• null Jayakumar, null Balasubramanian, and null Tomak, Effect of nonparabolicity on the binding energy of a hydrogenic donor in a quantum well with a magnetic field. Phys. Rev. B Condens. Matter 33(6) (Mar. 1986), pp. 4002–4004. doi:10.1103/physrevb.33.4002.
   PubMed Web of Science ®Google Scholar
• Ľ Hrivnák, Simple calculations of energy levels in quantum wells of lattice-matched semiconductors with nonparabolic bands. J. Appl. Phys. 71(9) (May 1992), pp. 4370–4376. doi:10.1063/1.350773.
   Web of Science ®Google Scholar
• P. Nithiananthi and K. Jayakumar, Diamagnetic susceptibility of a hydrogenic donor in low lying excited states in a quantum well. Superlattices Microstruct. 40(3) (Sep. 2006), pp. 174–179. doi:10.1016/j.spmi.2006.07.013.
   Web of Science ®Google Scholar
• R. Jeice and K.S. Wilson, Confined energy of two electrons in a spherical quantum dot with interaction effects. Indian J. Phys. 88 (Oct. 2014), pp. 1031–1036. doi:10.1007/s12648-014-0543-1.
   Web of Science ®Google Scholar
• P. Csavinszky and A.M. Elabsy, Effect of the nonparabolicity of the GaAs conduction band on the binding energy of off-center hydrogenic donors in a Ga1 – x Alx As/GaAs/Ga1 – x AlxAs quantum well. Int. J. Quantum Chem. 34(S22) (1988), pp. 25–31. doi:10.1002/qua.560340807.
   Google Scholar
• Kittel’s Introduction to Solid State Physics, 8th Edition, Global Edition | Wiley. Wiley.com. Available at https://www.wiley.com/en-gb/Kittel%27s+Introduction+to+Solid+State+Physics%2C+8th+Edition%2C+Global+Edition-p-9781119454168 (accessed Jun. 30, 2022).
   Google Scholar
• S. M’zerd, S. Janati. Edrissi, Y. Chrafih, K. Rahmani, M. Khenfouch, I. Zorkani, and A. Jorio, Shape effects on the diamagnetic susceptibility in inhomogeneous quantum dots. J. Phys. Conf. Ser. 1292(1) (Aug. 2019), p. 012003. doi:10.1088/1742-6596/1292/1/012003.
   Google Scholar
• F. Oketch, H. Oyoko, and G. Amolo, A study of the effect of Hermanson’s spatial dielectric function on the photoionization cross-section of a hydrogenic and a non-hydrogenic donor impurity in a GaAs quantum dot of cylindrical geometry in the region of finite and infinite barrier potentials. J. Korean Phys. Sot 73 (Oct. 2018), pp. 928–933. doi:10.3938/jkps.73.928.
   Web of Science ®Google Scholar
• K. Rahmani, Y. Chrafih, S. M’Zred, S. Janati, I. Zorkani, A. Jorio, and A. Mmadi, Polarizability and binding energy of a shallow donor in spherical quantum dot-quantum well (QD-QW). J. Phys. Conf. Ser. 984 (Mar. 2018), p. 012001. doi:10.1088/1742-6596/984/1/012001.
   Google Scholar
• E. Kilicarslan, S. Şakiroglu, E. Kasapoglu, H. Sari, and I. Sökmen, The effect of nitrogen on the diamagnetic susceptibility of a donor in GaxIn1−xNyAs1−y/GaAs quantum well under the magnetic field. Superlattices Microstruct. 48(3) (Sep. 2010), pp. 305–311. doi:10.1016/j.spmi.2010.06.017.
   Web of Science ®Google Scholar