Top

Optical and Quantum Electronics

Published in:

01-04-2024

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

Author: R. Khordad

Published in: Optical and Quantum Electronics | Issue 4/2024

Activate our intelligent search to find suitable subject content or patents.

search-config

AI-assisted search

Off

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.

previous article Underwater optical wireless communication system based on dual polarization states with optical code division multiple access: performance evaluation

next article Management of soliton pulse speed in inhomogeneous optical waveguides with dual-power law refractive index

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 340 Zeitschriften

aus folgenden Fachgebieten:

Bauwesen + Immobilien
Business IT + Informatik
Finance + Banking
Management + Führung
Marketing + Vertrieb
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Available only for authorised users

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

Title: The singlet–triplet transition of two interacting electrons in a Frost–Musulin quantum dot
Author: R. Khordad
Publication date: 01-04-2024
Publisher: Springer US
Published in: Optical and Quantum Electronics / Issue 4/2024
Print ISSN: 0306-8919
Electronic ISSN: 1572-817X
DOI: https://doi.org/10.1007/s11082-023-06199-1

Springer Professional

Abstract

Please log in to get access to your license.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Technik"

Springer Professional "Wirtschaft+Technik"

Springer Professional "Wirtschaft"

Other articles of this Issue 4/2024

New methods to increase PVR in gate controllable armchair graphene-boron nitride RTDs

Correction to: On some novel bright, dark and optical solitons to the cubic-quintic nonlinear non-paraxial pulse propagation model

Nonlocal symmetry and exact solutions of the (2+1)-dimensional Gerdjikov–Ivanov equation

Spatial dynamic image planning based on wearable optoelectronic devices for tactical simulation of table tennis tournaments

Orbital angular momentum based scattering characteristics for foggy atmosphere

Laser ablation and LIPSS formation at static and dynamic multi-pulse regime on protective Al2O3/TiAlN coating