Abstract
Here, we study the effects of the number of sites, quantum ring radius and potential well depth on the energy levels, persistent current, magnetic susceptibility and density of states (DOS) of a quantum ring with a quantum well within its circumstance in a magnetic flux perpendicular to its plane. We show that, for small radius quantum ring systems, there are periodic local gaps along the magnetic flux axis in the DOS plots and along the axis ‘energy’. For large radius quantum ring systems, a uniform gap along the energy axis exists and along the phi axis nothing changes. In quantum rings with a quantum well in their circumstance, by using the large confining potential, we can create uniform gaps in the Energy–phi plane. The energy eigenvalues, persistent current and magnetic susceptibility decrease by increasing the confining potential. A quantum ring even with a very small confining potential in its circumstance can sensibly decrease the persistent current and magnetic susceptibility, although it may do not change the energy eigenvalues and DOS maximum considerably. Thus, by using the abovementioned parameters, we are able to tune the DOS, persistent current, magnetic susceptibility and energy levels, desirably.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Aharonov, Y., Bohm, D.: Significance of electromagnetic potentials in the quantum theory. Phys. Rev. 115, 485–491 (1959)
Buttiker, M., Imry, Y., Landauer, R.: Josephson behavior in small normal one-dimensional rings. Phys. Lett. A 96, 365–367 (1983)
Chandrasekhar, V., Webb, R.A., Bardy, M.J., et al.: Magnetic response of a single, isolated gold loop. Phys. Rev. Lett. 67, 3578–3581 (1991)
Gasiorowicz, S.: Quantum Physics, 3rd edn, p. 48. Wiley, New York (2003)
Hong, W., Cheng-Guang, B.: Effect of electric field on the electronic spectrum and the persistent current of a quantum ring with two electrons. Chin. Phys. 15, 2102–2107 (2006)
Kohn, W.: Theory of the insulating state. Phys. Rev. 133, A171–A181 (1964)
Liang, S.-D., Wang, Z.D., Zhu, J.-X.: Impurity effect on the persistent current via Aharonov–Bohm effect in one-dimensional mesoscopic rings: tight-binding model. Solid State Commun. 98, 909–912 (1996)
Lin, H.Q., Gubernatis, J.E., Tobochnik, J.: Exact diagonalization methods for quantum systems. Comput. Phys. 7, 400–407 (1993)
Mailly, D., Chapetier, C., Benoit, A.: Experimental observation of persistent currents in GaAs–AlGaAs single loop. Phys. Rev. Lett. 70, 2020–2023 (1993)
Maiti, S.K.: Corrigendum to:“Molecular wires: Tuning of electron transport”[Solid State Commun. 145 (2008) 126–131]. Solid State Commun. 146, 278 (2008)
Maiti, S.K., Chowdhury, J., Karmakar, S.N.: On the role of electron correlation and disorder on persistent currents in isolated one-dimensional rings. Solid State Commun. 135, 278–283 (2005)
Malczak, M., Mierzejewski, M., Maska, M.M.: Persistent currents in disordered rings. J. Optoelectron. Adv. Mater. 10, 1740–1744 (2008)
Moskalets, M.V.: The effect of interelectron interactions on thermal fluctuations of a persistent current in a single one-dimensional ballistic ring. Phys. B 301, 286–291 (2001)
Solaimani, M.: GaN/AlN constant total effective radius multi-wells quantum rings: physical properties under well number variation effects. Solid State Commun. 200, 66–70 (2014a)
Solaimani, M.: Nonlinear optical absorption of a two electron GaN/AlN constant total effective radius multi-shells quantum rings. J. Nonlinear Opt. Phys. Mater. 23, 1450050 (2014b)
Solaimani, M.: Miniband formation in GaN/AlN constant-total-effective-radius multi-shell quantum dots. Chin. Phys. Lett. 32, 117304 (2015)
Solaimani, M., Izadifard, M., Arabshahi, H., Sarkardei, M.R.: Study of optical non-linear properties of a constant total effective length multiple quantum wells system. J. Lumin. 134, 699–705 (2013)
Solaimani, M., Ghalandari, M., Lavaie, L.: Donor impurity effects on optical properties of GaN/AlN constant total effective radius multishell quantum dots. J. Opt. Soc. Am. B 33, 420–425 (2016)
Yacoby, A., Heiblum, M., Mahalu, D., Shtrikman, H.: Coherence and phase sensitive measurements in a quantum dot. Phys. Rev. Lett. 74, 4047–4050 (1995)
Zhou, Y.-C., Yang, X.-E., Li, H.-Z.: The effect of electron-phonon coupling on persistent currents in one-dimensional mesoscopic rings. Phys. Lett. A 190, 123–125 (1990)
Zhou, Y.-C., Li, H.-Z., Zhi, S.-L.: Persistent currents in a mesoscopic ring in an inhomogeneous magnetic field. Phys. Lett. A 187, 74–78 (1994)
Acknowledgements
We are grateful for the financial support of the Iranian Nanotechnology Initiative Council (INIC) and Qom University of Technology supports.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Solaimani, M. Electronic properties of a quantum ring perturbed with a quantum well in the presence of perpendicular magnetic flux. Opt Quant Electron 50, 283 (2018). https://doi.org/10.1007/s11082-018-1549-2
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s11082-018-1549-2