Aharonov-Bohm effect in quantum nanocups
Abstract
The Aharonov-Bohm effect had been studied in semiconductor ring system and type II quantum dots, different authors had considered the asymmetric effect in the shape of the ring and the effect on Aharonov-Bohm oscillation due to impurities in the structure. In this report is considering the effect of a magnetic field applied on the electron energy inside in a quantum nanocup. The energy is calculated using a vibrational procedure in the effective mass framework. The results show the influence of the shape of a nanocup on the electron energy and smooth oscillation in the ground state energy as a function of the magnetic field.Downloads
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References
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[17] L.G. D. Da Silva, S. E. Ulloa and T. V. Shahbazyan, “Impurity effects in the optical absorption of quantum rings” Physica E: Low-dimensional Systems and Nanostructures, vol.32, no. 1-2, pp. 37-40, May 2006
[18] W. Gutiérrez, L. F. García and I.D. Mikhailov, “Coupled donors in quantum ring in a threading magnetic field”, Physica E: Low-dimensional Systems and Nanostructures, vol.43, no. 1, pp. 559-566, Nov. 2010
[19] N. Čucarić, M. Tadić and F. M. Peeters, “Electron and hole states in a quantum ring grown by droplet epitaxy: Influence of the layer inside the ring opening” Superlattices and Microstructures, vol. 48, no. 5, pp. 491- 501, Nov. 2010
[20] A. García-Cristóbal, V. M. Fomin and J. T. Devreese, “Electronic structure of self-assembled quantum dots in high magnetic fields”, Phys. B: Cond.Matt. vol. 256- 258, pp. 190-193, Dec. 1998
[21] F. M. Peeters F M and V. A. Schweigert, “Two-electron quantum disks”, Phys. Rev. B. vol.53, no. 3, pp- 1468- 1474, Jan. 1996
[2] J.H. Marín, W. Gutiérrez and I. D Mikhailov, “An exciton trapped by an arbitrary shaped nanoring in a magnetic field”, J. Phys. Conf. Ser. 210 012045. 2010
[3] Li, Y., “Electronic structure of three-dimensional triangular torus-shaped quantum rings under external magnetic fields”, Phys. Stat. Sol. (c), vol. 0, no. 4, pp: 1141–1144. July. 2013
[4] A. Fuhrer, S. Lüscher, T. Ihn, T. Heinzel T, K. Ensslin, W. Wegscheider and M. Bichler, “Energy spectra of quantum rings”, Microelectronic Engineering, vol. 63, no. 1-3, pp 47-52, Aug, 2002
[5] A. van Oudenaarden, M.H. Devoret, Y.V. Nazarov and J.E. Mooij, “Magneto-electric Aharonov–Bohm effect in metal rings”, Nature, vol. 391, pp 768-779, Feb 1998
[6] N. A. J. M. Kleemans, I. M. A. Bominaar-Silkens, V. M. Fomin, V. N. Gladilin, D. Granados, A. G. Taboada, J. M. García, P. Offermans, U. Zeitler, P. C. M. Christianen, J. C. Maan, J. T. Devreese, and P. M. Koenraad, “Oscillatory Persistent Currents in Self-Assembled Quantum Rings”, Phys. Rev. Let., vol. 99, no 14, pp 6808-6811, Oct 2007
[7] A. Bruno-Alfonso and A. Latgé, “Aharonov-Bohm oscillations in a quantum ring: Eccentricity and electricfield effects” Phys. Rev. B, vol. 71, no 12, pp 5312- 5317, Mar. 2005
[8] E. Ribeiro, A.O. Govorov, W. Carvalho and G. MedeirosRibeiro, “Aharonov-Bohm Signature for Neutral Polarized Excitons in Type-II Quantum Dot Ensembles” Phys. Rev. Lett, vol. 92, no. 12, pp 6402-6406, Mar 2004
[9] U.F. Keyser, C. Fühner, S. Borck, R.J. Haug , M. Bichler, G. Abstreiter and W. Wegscheider, “Kondo Effect in a Few-Electron Quantum Ring”, Phys. Rev. Lett. Vol. 90, no. 19, pp 6601-6604, May 2003.
[10] V. Kotimäki and E. Räsánen E, “Aharonov-Bohm effect in many-electron quantum rings” Phys. Rev. B, vol 81, no. 24, pp. 5316-5321, Jun. 2010
[11] K. Kang and S.C. Shin, “Mesoscopic Kondo Effect in an Aharonov-Bohm Ring”, Phys. Rev. Lett., vol. 85, no 26, pp 5619- 5622, Dec 2000
[12] A. L. Silva Netto, C. Chesman and C. Furtado, “Influence of topology in a quantum ring”, Phys. Rev. Lett, vol. 372, no 21, pp 3894-3897, May 2008
[13] Guang-Yin Chen, Yueh-Nan Chen, and Der-San Chuu, “The Aharonov–Bohm effect in concentric quantum double rings” Sol. Stat. Comm, vol. 143, no. 11-12, pp 515-518, Sept 2007
[14] F. J. Culchac, N. Porras-Montenegro, J.C. Granada and A. Latgé, “Energy spectrum in a concentric double quantum ring of GaAs–(Ga,Al)As under applied magnetic fields”, Microelectronics Journal, vol. 39, no. 3-4, pp 402- 406, Apr. 2008
[15] J. Planelles, F. Rajadell, J. Climente, M. Royo and J. Movilla, “Electronic states of laterally coupled quantum rings”, J. Phys.: Conf. Ser.61, pp. 936-941, 2007
[16] V.M. Fomin, V.N. Gladilin, S. N. Klimin, J.T. Devreese, N.A. J. M. Kleemans and P.M. Koenraad, “Theory of electron energy spectrum and Aharonov-Bohm effect in self-assembled InxGa1−xAs quantum rings in GaAs”, Phys. Rev. B., vol. 76, no. 23, pp. 5320-5328, Dec. 2007
[17] L.G. D. Da Silva, S. E. Ulloa and T. V. Shahbazyan, “Impurity effects in the optical absorption of quantum rings” Physica E: Low-dimensional Systems and Nanostructures, vol.32, no. 1-2, pp. 37-40, May 2006
[18] W. Gutiérrez, L. F. García and I.D. Mikhailov, “Coupled donors in quantum ring in a threading magnetic field”, Physica E: Low-dimensional Systems and Nanostructures, vol.43, no. 1, pp. 559-566, Nov. 2010
[19] N. Čucarić, M. Tadić and F. M. Peeters, “Electron and hole states in a quantum ring grown by droplet epitaxy: Influence of the layer inside the ring opening” Superlattices and Microstructures, vol. 48, no. 5, pp. 491- 501, Nov. 2010
[20] A. García-Cristóbal, V. M. Fomin and J. T. Devreese, “Electronic structure of self-assembled quantum dots in high magnetic fields”, Phys. B: Cond.Matt. vol. 256- 258, pp. 190-193, Dec. 1998
[21] F. M. Peeters F M and V. A. Schweigert, “Two-electron quantum disks”, Phys. Rev. B. vol.53, no. 3, pp- 1468- 1474, Jan. 1996
Published
2014-02-24
How to Cite
Beltrán Ríos, C., & Gutiérrez, H. (2014). Aharonov-Bohm effect in quantum nanocups. ITECKNE, 10(2), 242-248. https://doi.org/https://doi.org/10.15332/iteckne.v10i2.402
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Research and Innovation Articles
