González-Santander, C., Domínguez-Adame, F. and Roemer, Rudolf A.. (2011) Excitonic Aharonov-Bohm effect in a two-dimensional quantum ring. Physical Review B (Condensed Matter and Materials Physics), Vol.84 (No.23). 235103 . ISSN 1098-0121

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Abstract

We study theoretically the optical properties of an exciton in a two-dimensional ring threaded by a magnetic flux. We model the quantum ring by a confining potential that can be continuously tuned from strictly one-dimensional to truly two-dimensional with finite radius-to-width ratio. We present an analytic solution of the problem when the electron-hole interaction is short ranged. The oscillatory dependence of the oscillator strength as a function of the magnetic flux is attributed to the Aharonov-Bohm effect. The amplitude of the oscillations changes upon increasing the width of the quantum ring. We find that the Aharonov-Bohm oscillations of the ground state of the exciton decrease with increasing the width, but, remarkably, the amplitude remains finite down to radius-to-width ratios less than unity. We attribute this resilience of the excitonic oscillations to the nonsimple connectedness of our chosen confinement potential with its centrifugal core at the origin.

Item Type:	Journal Article
Subjects:	Q Science > QC Physics
Divisions:	Faculty of Science > Physics Faculty of Science > Centre for Scientific Computing
Library of Congress Subject Headings (LCSH):	Exciton theory
Journal or Publication Title:	Physical Review B (Condensed Matter and Materials Physics)
Publisher:	American Physical Society
ISSN:	1098-0121
Date:	2011
Volume:	Vol.84
Number:	No.23
Number of Pages:	6
Page Range:	235103
Identification Number:	10.1103/PhysRevB.84.235103
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
Funder:	Spain. Ministerio de Ciencia e Innovación (MICINN)
Grant number:	Mosaico (MICINN), MAT2010-17180 (MICINN)
References:	1 A. Lorke, R. J. Luyken , M. Fricke, J. P. Kotthaus, G. Medeiros-Ribeiro, J. M. Garcia, and P. M. Petroff, Microelectronic Engineering 47, 95 (1999). 2 A. Lorke, R. J. Luyken, A. O. Govorov, J. P. Kotthaus, J. M. Garcia, and P. M. Petroff, Phys. Rev. Lett. 84, 2223 (2000). 3 R. J.Warburton, C. Sch¨aflein, D. Haft, F. Bickel, A. Lorke, K. Karral, J. M. Garcia, W. Schoenfeld, and P. M. Petroff, Nature 405, 926 (2000). 4 E. Ribeiro, A. O. Govorov, W. Carvalho, and G. Medeiros- Ribeiro, Phys. Rev. Lett. 92, 126402 (2004). 5 M. D. Teodoro, V. L. Campo, V. Lopez-Richard, E. Marega, G. E. Marques, Y. G. a. Gobato, F. Iikawa, M. J. S. P. Brasil, Z. Y. AbuWaar, V. G. Dorogan, Y. I. Mazur, M. Benamara, and G. J. Salamo, Phys. Rev. Lett. 104, 086401 (2010). 6 M. Bayer, O. Stern, P. Hawrylak, S. Safard, and A. Forchel, Nature 405, 923 (2000). 7 M. Bayer, M. Korkusinski, P. Hawrylak, T. Gutbrod, M. Michel, and A. Forchel, Phys. Rev. Lett. 90, 186801 (2003). 8 F. Ding, N. Akopian, B. Li, U. Perinetti, A. Govorov, F. M. Peeters, C. C. Bof Bufon, C. Deneke, Y. H. Chen, A. Rastelli, O. G. Schmidt, and V. Zwiller, Phys. Rev. B 82, 075309 (2010). 9 W. Ehrenberg and R. E. Siday, Proc. Phys. Soc. Section B 62, 8 (1949). 10 Y. Aharonov and D. Bohm, Phys. Rev. 115, 485 (1959). 11 N. Byers and C. N. Yang, Phys. Rev. Lett. 7, 46 (1961). 12 T. Chakraborty and P. Pietil¨anen, Solid State Commun. 87, 809 (1993). 13 A. Chaplik, Pis’ma Zh. Eksp. Teor. Fiz. 62, 885 (1995), [JETP Lett. 62, 900–904 (1995)]. 14 R. A. R¨omer and M. E. Raikh, Phys. Rev. B 62, 7045 (2000). 15 I. Galbrath, F. Braid, and R. Warburton, phys. stat. sol. (a) 190, 781 (2002). 16 D. Haft, C. Schulhauser, A. Govorov, R. Warburton, K. Karrai, J. Garcia, W. Schoenfeld and P. Petroff, Physica E 13, 165 (2002). 17 A. Govorov, A. Kalameitsev, R.Warburton, K. Karrai and S. Ulloa, Physica E 13, 297 (2002). 18 K. Maschke, T. Meier, P. Thomas, and S. Koch, Eur. Phys. J. B 19, 599 (2001). 19 T. V. Shahbazyan, I. E. Perakis, and M. E. Raikh, Phys. Rev. Lett. 84, 5896 (2000). 20 A. M. Fischer, V. L. Campo, M. E. Portnoi, and R. A. R¨omer, Phys. Rev. Lett. 102, 096405 (2009). 21 H. Hu, D.-J. Li, J.-L. Zhu, and J.-J. Xiong, J. Phys.: Condens. Matter 12, 9145 (2001). 22 H. Hu, J. L. Zhu, D. J. Li, and J. Xiong, Phys. Rev. B 63, 195307 (2001). 23 A. O. Govorov, S. E. Ulloa, K. Karrai, and R. J. Warburton, Phys. Rev. B 66, 081309 (R) (2002). 24 L. G. G. V. Dias da Silva, S. E. Ulloa, and A. O. Govorov, Phys. Rev. B 70, 155318 (2004). 25 Z. Barticevic, M. Pacheco, J. Simonin, and C. R. Proetto, Phys. Rev. B 73, 165311 (2006). 26 J. Song and S. E. Ulloa, Phys. Rev. B 63, 125302 (2001). 27 M. Grochol, F. Grosse, and R. Zimmermann, Phys. Rev. B 74, 115416 (2006). 28 Z. Dai and J.-L. Zhu, J. Phys.: Condens. Matter 19, 346202 (2007). 29 F. Palmero, J. Dorignac, J. C. Eilbeck, and R. A. R¨omer, Phys. Rev. B 72, 075343 (2005). 30 T. V. Bandos, A. Cantarero, and A. Garcia-Cristobal, Eur. Phys. J. B 53, 99 (2006). 31 B. Li and F. M. Peeters, Phys. Rev. B 83, 115448 (2011). 32 E. N. Bogachek and I. O. Kulik, Fiz. Nizk. Temp 9, 398 (1983) [Sov. J. Low Temp. Phys. 9, 202 (1983)]. E. N. Bogachek and Uzi Landman, Phys. Rev. B 52, 14067 (1995). W.-C. Tan and J. C. Inkson, Semiconductor Science and Technology 11, 1635 (1996). 33 V. M. Kovalev and A. V. Chaplik, Pis’ma Zh. Eksp. Teor. Fiz. 90, 753 (2009) [JETP Lett. 90, 679 (2009)]. 34 The vector potential is defined as usual such that H A·dr = h/e. 35 E. Lieb and W. Liniger, Phys. Rev. 130, 1605 (1963). 36 A. V. Maslov and D. S. Citrin, Phys. Rev. B 67, 121304 (2003). 37 T. Meier, P. Thomas, and S. Koch, Eur. Phys. J. B 22, 249 (2001). 38 P. Hui and Z. Jia-Lin, Journal of Physics: Condensed Matter 15, 7287 (2003).
URI:	http://wrap.warwick.ac.uk/id/eprint/40115

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