Exciton fine structure in coupled quantum dots

Physical Review B - Condensed Matter and Materials Physics

Volumn 69, Issue 16, 2004, Pages

  Lyanda Geller, Y B ^a   Reinecke, T L ^a   Bayer, M ^b  

^a NAVAL RESEARCH LABORATORY   (United States)

^b TU DORTMUND UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; ARTICLE; ATOMIC PARTICLE; CALCULATION; MAGNETIC FIELD; MOLECULAR INTERACTION; OPTICS; QUANTUM MECHANICS; STRUCTURE ANALYSIS;

EID: 42749099202     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevB.69.161308     Document Type: Article

References (26)

1. D. Gammon, E.S. Snow, B.V. Shanabrook, D.S. Katzer, and D. Park, Phys. Rev. Lett. 76, 3005 (1996).
2. M. Bayer, A Kuther, A. Forchel, A. Gorbunov, V.B. Timofeev, F. Schafer, J.P. Reithmaier, T.L. Reinecke, and S.N. Walck, Phys. Rev. Lett. 82, 1748 (1999).
3. G. Chen, N.H. Bonadeo, D.G. Steel, D. Gammon, D.S. Katzer, D. Park, and L.J. Sham, Science 289, 1906 (2000); P.C. Chen, C. Piermarocci, and L.J. Sham, Phys. Rev. Lett. 87, 067401 (2001).
4. G. Chen, N.H. Bonadeo, D.G. Steel, D. Gammon, D.S. Katzer, D. Park, and L.J. Sham, Science 289, 1906 (2000); P.C. Chen, C. Piermarocci, and L.J. Sham, Phys. Rev. Lett. 87, 067401 (2001).
5. L.P. Kouwenhoven, Science 268, 1440 (1995); R.H. Blick, D. Pfannkuche, R.J. Haug, K. von Klitzing, and K. Eberl, Phys. Rev. Lett. 80, 4032 (1998); T. Fujisawa, T.H. Oosterkamp, W.G. van der Wiel, B.W. Broer, R. Aguado, S. Tarucha, and L.P. Kouwenhoven, Science 282, 932 (1998).
6. L.P. Kouwenhoven, Science 268, 1440 (1995); R.H. Blick, D. Pfannkuche, R.J. Haug, K. von Klitzing, and K. Eberl, Phys. Rev. Lett. 80, 4032 (1998); T. Fujisawa, T.H. Oosterkamp, W.G. van der Wiel, B.W. Broer, R. Aguado, S. Tarucha, and L.P. Kouwenhoven, Science 282, 932 (1998).
7. L.P. Kouwenhoven, Science 268, 1440 (1995); R.H. Blick, D. Pfannkuche, R.J. Haug, K. von Klitzing, and K. Eberl, Phys. Rev. Lett. 80, 4032 (1998); T. Fujisawa, T.H. Oosterkamp, W.G. van der Wiel, B.W. Broer, R. Aguado, S. Tarucha, and L.P. Kouwenhoven, Science 282, 932 (1998).
8. M. Bayer, P. Hawrylak, K. Hinzer, S. Fafard, M. Korkusinski, Z.R. Wasilewski, O. Stern, and A. Forchel, Science 291, 451 (2001).
9. G. Ortner, M. Bayer, A. Larionov, V.B. Timofeev, A. Forchel, Y.B. Lyanda-Geller, T.L. Reinecke, P. Hawrylak, S. Fafard, and Z. Wasilewski, Phys. Rev. Lett. 90, 086404 (2003).
10. More detailed treatments of self-organized and vertically coupled QD's are given in Refs. 8 and 9, as well as in G.W. Bryant, Phys. Rev. B 48, 8024 (1993); L.R.C. Fonseca, J.L Jimenes, and J.P. Leburton, ibid. 58, 9955 (1998); G. Bester, S. Nair, and A. Zunger, ibid. 67, 161306 (2003).
11. More detailed treatments of self-organized and vertically coupled QD's are given in Refs. 8 and 9, as well as in G.W. Bryant, Phys. Rev. B 48, 8024 (1993); L.R.C. Fonseca, J.L Jimenes, and J.P. Leburton, ibid. 58, 9955 (1998); G. Bester, S. Nair, and A. Zunger, ibid. 67, 161306 (2003).
12. More detailed treatments of self-organized and vertically coupled QD's are given in Refs. 8 and 9, as well as in G.W. Bryant, Phys. Rev. B 48, 8024 (1993); L.R.C. Fonseca, J.L Jimenes, and J.P. Leburton, ibid. 58, 9955 (1998); G. Bester, S. Nair, and A. Zunger, ibid. 67, 161306 (2003).
13. C. Pryor, Phys. Rev. B 60, 2869 (1999).
14. M. Korkusinski and P. Hawrylak, Phys. Rev. B 63, 195311 (2001).
15. There is some evidence (Ref. 2) that in a small fraction of self-organized QD's there may be deviations from cylindrical symmetry. We do not include such cases here.
16. We assume that J quantization axis is z. That is suggested by data in which neither mixing nor anticrossings in QDM occur, indicating a high degree of axial symmetry. In our model, axial symmetry is present in each of dots, but can be lost in a QDM due to displacement of dots with respect to z, as TEM suggests.
17. The increase of the splitting in Fig. 1 for decreasing d is stronger than that in experiment (Ref. 5). However, the splitting depends on parameters of the several QDM samples that have been used in experiment.
18. T. Takagahara, Phys. Rev. B 47, 4569 (1993); Al.L. Efros, M. Rosen, M. Kuno, M. Nirmal, D.J. Norris, and M. Bawendi, ibid. 54, 4843 (1996); S.V. Gupalov and E.L. Ivchenko, Sov. Phys. Solid State 42, 1976 (2000).
19. T. Takagahara, Phys. Rev. B 47, 4569 (1993); Al.L. Efros, M. Rosen, M. Kuno, M. Nirmal, D.J. Norris, and M. Bawendi, ibid. 54, 4843 (1996); S.V. Gupalov and E.L. Ivchenko, Sov. Phys. Solid State 42, 1976 (2000).
20. T. Takagahara, Phys. Rev. B 47, 4569 (1993); Al.L. Efros, M. Rosen, M. Kuno, M. Nirmal, D.J. Norris, and M. Bawendi, ibid. 54, 4843 (1996); S.V. Gupalov and E.L. Ivchenko, Sov. Phys. Solid State 42, 1976 (2000).
21. A magnetic field in the Voigt direction (at an angle with respect to z axis) of single QD's can mix optically active and inactive states, but this is not of interest here.
22. See, e.g., G.E. Pikus and A.N. Titkov, in Optical Orientation, edited by F. Meier and B.P. Zakharchenya (North-Holland, New York, 1984); J.B. Miller et al., Phys. Rev. Lett. 90, 076807 (2003).
23. See, e.g., G.E. Pikus and A.N. Titkov, in Optical Orientation, edited by F. Meier and B.P. Zakharchenya (North-Holland, New York, 1984); J.B. Miller et al., Phys. Rev. Lett. 90, 076807 (2003).
24. e see Y. Lyanda-Geller, Phys. Rev. Lett. 71, 657 (1993).
25. The upper state in Fig. 3 differs from that in Fig. 4b of Ref. 6. There the g factors for the upper and lower states differ to give the best description of experiment.
26. See, e.g., L.M. Woods, T.L. Reinecke, and Y. Lyanda-Geller, Phys. Rev. B 66, 161318 (2002).