Abstract
The coupling effects on the optical absorption spectrum of semiconductor quantum dots are studied by using the standard model with valence and conduction band levels coupled to dispersive quantum phonons of infinite modes. By deducing the analytical expression of the optical absorption coefficient, the relationship between the measurable quantities and the intrinsic properties of the semiconductor quantum dot is established. By this expression, the peak position, the line shape, the linewidth, and the energy shift of the absorption spectrum of semiconductor quantum dot can be calculated precisely for a wide range of parameters. The role of coupling strength as a mechanism of absorption line asymmetry is investigated, and the calculation results clearly show the coupling-induced asymmetry in the absorption line. This analytical approach is applied to GaAs quantum dot, and the results are consistent with those of experiment observations.
Similar content being viewed by others
References
L. Bányai, S.W. Koch, Semiconductor Quantum Dots (World Scientific, Singapore, 1993)
S.M. Reimann, M. Manninen, Rev. Mod. Phys. 74, 1283 (2002)
J.M. Villas-Boâs, A.O. Govorov, S.E. Ulloa, Phys. Rev. B 69, 125342 (2004)
G. Levine, V.N. Muthukumar, Phys. Rev. B 69, 113203 (2004)
A. Imamoglu, D.D. Awschalom, G. Burkard, D.P. DiVincenzo, D. Loss, M. Sherwin, A. Small, Phys. Rev. Lett. 83, 4204 (1999)
E. Biolatti, R.C. Iotti, P. Zanardi, F. Rossi, Phys. Rev. Lett. 85, 5647 (2000)
P. Michler, A. Imamolu, M.D. Mason, P.J. Carson, G.F. Strouse, S.K. Buratto, Nature 406, 968 (2000)
B. Lounis, H.A. Bechtela, D. Gerionc, P. Alivisatosc, W.E. Moernera, Chem. Phys. Lett. 329, 399 (2000)
M.A. Nielsen, I.L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2000)
T. Fujisawa, T.H. Oosterkamp, W.G. van der Wiel, B.W. Broer, R. Aguado, S. Tarucha, L.P. Kouwenhoven, Science 282, 93 (1998)
P.M. Petroff, S. Lorke, A. Imamoǧlu, Phys. Today 54, 46 (2001)
M. Sigrist, Ihn. Thomas, K. Ensslin, M. Reinwald, W. Wegscheider, Phys. Rev. Lett. 98, 036805 (2007)
S. Glutsch, D.S. Chemla, F. Bechstedt, Phys. Rev. B 54, 11592 (1996)
R.J. Elliott, Phys. Rev. 108, 1384 (1957)
M.I. Vasilevskiy, E.V. Anda, S.S. Makler, Phys. Rev. B 70, 035318 (2004)
T. Stauber, R. Zimmermann, Phys. Rev. B 73, 115303 (2006)
R.J. Warburton, C. Schäflein, D. Haft, F. Bickel, A. Lorke, K. Karrai, J.M. Garcia, W. Schoenfeld, P.M. Petroff, Nature 405, 926 (2000)
K. Karrai, R.J. Warburton, C. Schulhauser, A. Högele, B. Urbaszek, E.J. McGhee, A.O. Govorov, J.M. Garcia, B.D. Geradot, P.M. Petroff, Nature 427, 135 (2004)
T. Flissikowski, A. Hundt, M. Lowisch, M. Rabe, F. Henneberger, Phys. Rev. Lett. 86, 3172 (2001)
G.A. Narvaez, A. Zunger, Phys. Rev. B 74, 045316 (2006)
A. Franceschetti, Y. Zhang, Phys. Rev. Lett. 100, 136805 (2008)
M.G. Bawendi, P.J. Carroll, W.L. Wilson, L.E. Brus, J. Chem. Phys. 96, 946 (1992)
J.R. Guest, T.H. Stievater, X. Li, J. Cheng, D.G. Steel, D. Gammon, D.S. Katzer, D. Park, C. Ell, A. Thränhardt, G. Khitrova, H.M. Gibbs, Phys. Rev. B 65, 241310(R) (2002)
M.A. Cusack, P.R. Briddon, M. Jaros, Phys. Rev. B 56, 4047 (1997)
S.J. Prado, C. Trallero-Giner, A.M. Alcalde, V. López-Richard, G.E. Marques, Phys. Rev. B 68, 235327 (2003)
M. Lorke, T.R. Nielsen, J. Seebeck, P. Gartner, F. Jahnke, Phys. Rev. B 73, 085324 (2006)
L. Jacak, J. Krasnyj, W. Jacak, R. Gonczarek, P. Machnikowski, Phys. Rev. B 72, 245309 (2005)
S. Saito, M. Thorwart, H. Tanaka, M. Ueda, H. Nakano, K. Semba, H. Takayanagi, Phys. Rev. Lett. 93, 037001 (2004)
S.N. Klimin, V.M. Fomin, F. Brosens, J.T. Devreese, Phys. Rev. B 69, 235324 (2004)
R.W. Helmes, M. Sindel, L. Borda, J. von Delft, Phys. Rev. B 72, 125301 (2005)
G.A. Narvaez, A. Zunger, Phys. Rev. B 74, 045316 (2006)
J.M. An, A. Franceschetti, A. Zunger, Phys. Rev. B 76, 161310(R) (2007)
J. Stangl, V. Holy, G. Bauer, Rev. Mod. Phys. 76, 725 (2004)
G.D. Mahan, Many-particle Physics (Plenum Press, New York, 1990)
L.M. Thu, W.T. Chiu, O. Voskoboynikov, Phys. Rev. B 83, 125301 (2011)
I. Wilson-Rae, A. Imamoglu, Phys. Rev. B 65, 235311 (2002)
T. Calarco, A. Datta, P. Fedichev, E. Pazy, P. Zoller, Phys. Rev. A 68, 012310 (2003)
A.J. Leggett, S. Chakravarty, A.T. Dorsey, M.P.A. Fisher, A. Garg, W. Zwerger, Rev. Mod. Phys. 59, 1 (1987)
U. Weiss, Quantum Dissipative Systems (World Scientific, Singapore, 1993)
L. Tian, S. Lloyd, T.P. Orlando, Phys. Rev. B 65, 144516 (2002)
T. Brandes, Phys. Rep. 408, 315 (2005)
L. Fedichkin, A. Fedorov, Phys. Rev. A 69, 032311 (2004)
T. Vorrath, T. Brandes, B. Kramer, in Recent Progress in Many Body Physics, Advances in Quantum Many Body Theory, edited by R. Bishop, T. Brandes, K. Gernoth, N. Walet, Y. Xian (World Scientific, Singapore, 2001)
S. Debald, T. Brandes, B. Kramer, Phys. Rev. B 66, R041301 (2002)
Q. Wang, A. Y. Hu, H. Zheng, Phys. Rev. B 80, 214301 (2009)
A. Uhrig, L. Banyai, Y.Z. Hu, S.W. Koch, C. Klingshirn, N. Neuroth, Z. Phys. B 81, 385 (1990)
R.D. Coalson, Phys. Rev. B 39, 12052 (1989)
X. Michalet, F.F. Pinaud, L.A. Bentolila, J.M. Tsay, S. Doose, J.J. Li, G. Sundaresan, A.M. Wu, S.S. Gambhir, S. Weiss, Science 307, 538 (2005)
M. Bruchez Jr., M. Moronne, P. Gin, S. Weiss, A.P. Alivisatos, Science 281, 2013 (1998)
W.C.W. Chan, S. Nie, Science 281, 2016 (1998)
W.G. van Sark, P.L. Frederix, D.J. Van den Heuvel, H.C. Gerritsen, J. Phys. Chem. B 105, 8281 (2001)
G. Moody, M.E. Siemens, A.D. Bristow, X. Dai, D. Karaiskaj, A.S. Bracker, D. Gammon, S.T. Cundiff, Phys. Rev. B 83, 115324 (2011)
N.H. Bonadeo, J. Erland, D. Gammon, D. Park, D.S. Katzer, D.G. Steel, Science 282, 1473 (1998)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Wang, Q., Lü, Z. & Zheng, H. Coupling strength, coupling-induced asymmetry and shifts in the absorption spectrum in semiconductor quantum dots. Eur. Phys. J. B 89, 109 (2016). https://doi.org/10.1140/epjb/e2016-60795-1
Received:
Revised:
Published:
DOI: https://doi.org/10.1140/epjb/e2016-60795-1