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Optical and Quantum Electronics
Erschienen in: Optical and Quantum Electronics 4/2024

01.04.2024

The singlet–triplet transition of two interacting electrons in a Frost–Musulin quantum dot

verfasst von: R. Khordad

Erschienen in: Optical and Quantum Electronics | Ausgabe 4/2024

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Abstract

In the paper, the electronic properties of a quantum dot (QD) using the Frost–Musulin potential model are investigated taking into account both an external magnetic field and electron–electron interaction. For this purpose, the Schrödinger equation (SE) is analytically solved without considering electron–electron interaction by employing the Nikiforov–Uvarov (NU) procedure, and the energy levels and wave functions are determined. Then, the singlet–triplet (ST) transition is studied for different values of magnetic fields. According to our results, Both the dot size and magnetic field have key roles in the ground state transition. The ST transition of the ground state moves to lower magnetic fields as the QD size is increased. However the transition occurs at higher magnetic fields when the potential depth is increased. The transition for small QD size occurs only from 1S to 3P. But by increasing the QD size, another transition is also observed from 1D to 3F. These transitions occur at smaller magnetic fields when the QD size is increased.
Vorheriger Artikel Underwater optical wireless communication system based on dual polarization states with optical code division multiple access: performance evaluation
Nächster Artikel Management of soliton pulse speed in inhomogeneous optical waveguides with dual-power law refractive index

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Literatur
Adepoju, A.G., Eweh, E.J.: Approximate and analytical bound state solutions of the Frost–Musulin potential. Can. J. Phys. 92, 18–23 (2014a)ADS
Adepoju, A.G., Eweh, E.J.: Approximate and analytical bound state solutions of the Frost–Musulin potential. Can. J. Phys. 92, 21–26 (2014b)ADS
Arif, M.S., Bera, A., Ghosh, M.: Tuning diamagnetic susceptibility of impurity doped quantum dots by noise-binding energy interplay. Heliyon 5, e01147–e01152 (2019)PubMedPubMedCentral
Ashoori, R.C., Stormer, H.L., Weiner, J.S., Pfeiffer, L.N., Baldwin, K.W., West, K.W.: N-electron ground state energies of a quantum dot in magnetic field. Phys. Rev. Lett. 71, 613–618 (1993)PubMedADS
Bao, C.G.: Large regions of stability in the phase diagrams of quantum dots and the associated filling factors. Phys. Rev. Lett. 79, 3475–3479 (1997)ADS
Bimberg, D., Grundman, M., Ledentsov, N.: Quantum Dot Heterostructures. Wiley, New York (1999)
Datta, S., Ghosh, M.: Influence of impurity binding energy on the excitation dynamics of doped GaAs quantum dot: role of noise. J. Chem. Sci. 135, 15–22 (2023)
Donald, N.A.: Semiconductor Physics and Devices (Neamen), 3rd edn. McGraw-Hill, New York (2003)
Farout, M., Sever, R., Ikhdair, S.: Approximate solution to the time-dependent Kratzer plus screened Coulomb potential in the Feinberg–Horodecki equation. Chin. Phys. B 29, 060303–060309 (2020)ADS
Frost, A.A., Musulin, B.: Semiempirical potential energy functions. I. The H2 and H2+ diatomic molecules. J. Chem. Phys. 22, 1017–1020 (1954a)ADS
Frost, A.A., Musulin, B.: The possible existence of a reduced potential energy function for diatomic molecules. J. Am. Chem. Soc. 76, 2045–2048 (1954b)
Greene, R.L., Aldrich, C.: Variational wave functions for a screened Coulomb potential. Phys. Rev. A 14, 236–240 (1976)ADS
Guo, K.X., Chen, C.Y.: Polaron effects on the optical second-harmonic generation in a quantum well within an electric field. Turk. J. Phys. 21, 1261–1272 (1997)
Heiss, W.D.: Quantum Dots (A Doorway to Nanoscale Physics). Springer, Berlin (2005)
Idiodi, J.O.A., Onate, C.A.: Entropy, fisher information and variance with Frost–Musulin potenial. Commun. Theor. Phys. 66, 26–275 (2016)MathSciNet
Inyang, E.P., Inyang, E.P., William, E.S., Ntibi, J.E., Ibanga, E.A.: Bound state solutions of the Schrödinger equation with Frost–Musulin potential using the Nikiforov–Uvarov-functional analysis (NUFA) MethodBulg. J. Phys. 49, 329–339 (2022)
Inyang, E.P., William, E.S., Obu, J.A., Ita, B.I., Inyang, E.P., Akpan, I.O.: Energy spectra and expectation values of selected diatomic molecules through the solutions of Klein–Gordon equation with Eckart–Hellmann potential model. Mol. Phys. 119, e1956615–e1956619 (2021)ADS
Khordad, R.: Use of modified Gaussian potential to study an exciton in a spherical quantum dot. Superlatt. Microstruc. 54, 7–15 (2013b)MathSciNetADS
Khordad, R.: Optical properties of quantum wires: Rashba effect and external magnetic field. J. Lumin. 134, 201–207 (2013a)
Khordad, R.: Simultaneous effects of electron-electron interactions, Rashba spin-orbit interaction and magnetic field on susceptibility of quantum dots. J. Magn. Magn. Mater. 449, 510–514 (2018)ADS
Khordad, R., Bahramiyan, H.: Electronic properties of a hydrogenic impurity in a quantum wire with V-shaped cross-section: spin-orbit coupling, relativistic correction and conductance. Int. J. Mod. Phys. C 24, 1350041–1350049 (2013)ADS
Khordad, R., Mirhosseini, B.: Internal energy and entropy of a quantum pseudodot. Physica B 420, 10–14 (2013)ADS
Khordad, R., Mirhosseini, B.: Application of Tietz potential to study singlet–triplet transition of a two-electron quantum dot. Commun. Theor. Phys. 62, 77–80 (2014)ADS
Lennard-Jones, J.E.: Cohesion. Proc. Phys. Soc. 43, 461–482 (1931)ADS
Maksym, P.A., Chakraborty, T.: Quantum dots in a magnetic field: role of electron-electron interactions. Phys. Rev. Lett. 65, 108–111 (1990)PubMedADS
Maksym, P.A., Imamura, H., Mallon, G.P., Aoki, H.: Molecular aspects of electron correlation in quantum dots. J. Phys. Condens. Matter 12, R299–R305 (2000)ADS
Manning, M.F., Rosen, N.: A potential function for the vibrations of diatomic molecules. Phys. Rev. 44, 951–954 (1933)
Miura, N.: Physics of Semiconductors in High Magnetic Fields. Oxford University, New York (2008)
Mohamed, W.A.A., Abd El-Gawad, H., Mekkey, S., Galal, H., Handal, H., Mousa, H., Labib, A.: Quantum dots synthetization and future prospect applications. Nanothech. Rev. 10, 1926–1940 (2021)
Nazmitdinov, R.G., Simonović, N.S., Rost, J.M.: Semiclassical analysis of a two-electron quantum dot in a magnetic field: dimensional phenomena. Phys. Rev. B 65, 155307–155310 (2002)ADS
Nikiforov, A.F., Uvarov, V.B.: Special Functiond of Mathematical Physics. Birkhauser, Basel (1988)
Okon, I.B., Popoola, O., Isonguyo, C.N.: Approximate solutions of Schrodinger equation with some diatomic molecular interactions using Nikiforov–Uvarov method. Adv. High Energy Phys. 2017, 9671816–961821 (2017)
Omugbe, E., Osafile, O.E., Okon, I.B., Inyang, E.P., William, E.S., Jahanshir, A.: Approximate solutions of the Schrödinger equation with Hulthén plus screened Kratzer potential using the Nikiforov–Uvarov-functional analysis (NUFA) method: an application to diatomic molecules. Few-Body Syst. 63, 6–9 (2022)ADS
Onate, C.A., Onyeaju, M.C.: Dirac particles in the field of Frost–Musulin diatomic potential and the thermodynamic properties via parametric Nikiforov–Uvarov method, Sri Lankan. J. Phys. 17, 1–17 (2016)
Onyenegecha, C.P., Opara, A.I., Njoku, I.J., Udensi, S.C., Ukewuihe, U.M., Okereke, C.J., Omame, A.: Analytical solutions of D-dimensional Klein–Gordon equation with modified Mobius squared potential. Results Phys. 25, 104144–104149 (2021)
Pal, S., Ghosh, M.: Tailoring nonlinear optical rectification coefficient of impurity doped quantum dots by invoking Gaussian white noise. Opt. Quant. Electron. 48, 372–379 (2016)
Prada, M., Blick, R.H., Joynt, R.: Singlet–triplet relaxation in two-electron silicon quantum dots. Phys. Rev. B 77, 115438–115442 (2008)ADS
Rosen, N., Morse, P.M.: On the vibrations of polyatomic molecules. Phys. Rev. 42, 210–215 (1932)ADS
Ruan, W.Y.: Transformation bracket for 2D harmonic oscillator functions and its application to few-electron quantum dots. J. Math. Phys. 37, 3760–3768 (1996)MathSciNetADS
Tas, A., Aydogdu, O., Salti, M.: Dirac particles interacting with the improved Frost–Musulin potential within the effective mass formalism. Ann. Phys. 379, 67–82 (2017)MathSciNetADS
Varshni, Y.P., Shukla, R.C.: On the Frost–Musulin reduced potential energy function. J. Phys. Chem. 65, 2224–2226 (1961)
Wagner, M., Merkt, U., Chaplik, A.V.: Spin-singlet-spin-triplet oscillations in quantum dots. Phys. Rev. B 45, 1951–1954 (1992)ADS
Wei, H.: Four-parameter exactly solvable potential for diatomic molecules. Phys. Rev. A 42, 2524–2530 (1990)PubMedADS
William, E.S., Onye, S.C., Ikot, A.N., Nwachukwu, A.N., Inyang, E.P., Okon, I.B., Akpan, I.O., Ita, B.I.: Magnetic susceptibility and magnetocaloric effect of Frost–Musulin potential subjected to magnetic and Aharonov–Bohm (Flux) fields for CO and NO diatomic molecules. J. Theor. Appl. Phys. 17, 172318–172329 (2023)
Woods, R.D., Saxon, D.S.: Diffuse surface optical model for nucleon-nuclei scattering. Phys. Rev. 95, 577–581 (1954)ADS
Xie, W.F.: Four-electron quantum dots in magnetic fields. Solid State Electron. 43, 2115–2122 (1999)ADS
Xie, W.F.: Ground state of a two-electron quantum dot with a Gaussian confining potential. Chin. Phys. Lett. 23, 193–195 (2006a)ADS
Xie, W.F.: Singlet–triplet transitions of a Pöschl–Teller quantum dot. Commun. Theor. Phys. 46, 1101–1105 (2006b)ADS
Xie, W.F.: Four-electron systems confined in multilayer quantum dots. Mod. Phys. Lett. B 21, 1399–1413 (2007)ADS
Xie, W.F.: A study of ground state behavior of a two-electron quantum ring. Mod. Phys. Lett. B 23, 2361–2367 (2009a)ADS
Xie, W.F.: A study of two confined electrons using the Woods–Saxon potential. J. Phys. Condens. Matter 21, 115802–115808 (2009b)PubMedADS
Xie, R.H., Gong, J.: Simple three-parameter model potential for diatomic systems: from weakly and strongly bound molecules to metastable molecular ions. Phys. Rev. Lett. 95, 263202–263208 (2005)PubMedADS
Xie, W.F., Wang, A.: Ground state transitions in vertically coupled N-layer single electron quantum dots. Solid State Commun. 128, 369–373 (2003)ADS
Yin, Y.: Singlet–triplet relaxation induced by confined phonons in nanowire-based quantum dots. Semicond. Sci. Technol. 25, 125004–125009 (2010)ADS
Metadaten
Titel
The singlet–triplet transition of two interacting electrons in a Frost–Musulin quantum dot
verfasst von
R. Khordad
Publikationsdatum
01.04.2024
Verlag
Springer US
Erschienen in
Optical and Quantum Electronics / Ausgabe 4/2024
Print ISSN: 0306-8919
Elektronische ISSN: 1572-817X
DOI
https://doi.org/10.1007/s11082-023-06199-1

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