Effect of thermal annealing on the hyperfine interaction in InAs/GaAs quantum dots

Physical Review B - Condensed Matter and Materials Physics

Volumn 78, Issue 4, 2008, Pages

  Petrov, M Yu ^a   Ignatiev, I V ^a   Poltavtsev, S V ^a   Greilich, A ^b   Bauschulte, A ^b   Yakovlev, D R ^b,c   Bayer, M ^b  

^a ST PETERSBURG STATE UNIVERSITY   (Russian Federation)

^b TU DORTMUND UNIVERSITY   (Germany)

^c IOFFE INSTITUTE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 47949091696     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.78.045315     Document Type: Article

References (43)

1. D. Gammon, Al. L. Efros, T. A. Kennedy, M. Rosen, D. S. Katzer, D. Park, S. W. Brown, V. L. Korenev, and I. A. Merkulov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.5176 86, 5176 (2001).
2. P.-F. Braun, X. Marie, L. Lombez, B. Urbaszek, T. Amand, P. Renucci, V. K. Kalevich, K. V. Kavokin, O. Krebs, P. Voisin, and Y. Masumoto, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.116601 94, 116601 (2005).
3. R. V. Cherbunin, T. Auer, A. Greilich, I. V. Ignatiev, R. Oulton, M. Bayer, D. R. Yakovlev, G. G. Kozlov, D. Reuter, and A. D. Wieck (unpublished)
4. Also available in arXiv:0805.3247 (unpublished).
5. I. A. Merkulov, Al. L. Efros, and M. Rosen, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.65.205309 65, 205309 (2002).
6. A. V. Khaetskii, D. Loss, and L. Glazman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.186802 88, 186802 (2002).
7. A. V. Khaetskii and Yu. V. Nazarov, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.61.12639 61, 12639 (2000).
8. M. Kroutvar, Y. Ducommun, D. Heiss, M. Bichler, D. Schuh, G. Abstreiter, and J. J. Finley, Nature (London) NATUAS 0028-0836 10.1038/nature03008 432, 81 (2004).
9. R. Leon, S. Fafard, P. G. Piva, S. Ruvimov, and Z. Liliental-Weber, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.58.R4262 58, R4262 (1998).
10. S. Fafard and Nì. Allen, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.125019 75, 2374 (1999).
11. The annealing may also reduce the number of point defects and, thus, improve the structure quality (Ref.) that suppresses the defect related electron spin relaxation mechanism.
12. A. Greilich, R. Oulton, E. A. Zhukov, I. A. Yugova, D. R. Yakovlev, M. Bayer, A. Shabaev, Al. L. Efros, I. A. Merkulov, V. Stavarache, D. Reuter, and A. Wieck, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.227401 96, 227401 (2006).
13. W. Langbein, P. Borri, U. Woggon, V. Stavarache, D. Reuter, and A. D. Wieck, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.69.161301 69, 161301 (R) (2004).
14. For example, see D. Bimberg, M. Grundmann, and N. N. Ledentsov, Quantum Dot Heterostructures (Wiley, New York, 1999).
15. S. Malik, C. Roberts, R. Murray, and M. Pate, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.119763 71, 1987 (1997).
16. O. Gunawan, H. S. Djie, and B. S. Ooi, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71.205319 71, 205319 (2005).
17. H. Landoldt and R. Börnstein, Numerical Data and Functional Relationships in Science and Technology, Landolt-Börnstein, New Series, Group III, Vol. 17, Pt. A (Springer, Berlin, 1987).
18. C. G. Van de Walle, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.39. 1871 39, 1871 (1989).
19. O. Stier, M. Grundmann, and D. Bimberg, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.59.5688 59, 5688 (1999).
20. M. A. Cusack, P. R. Briddon, and M. Jaros, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.54.R2300 54, R2300 (1996).
21. O. L. Lazarenkova, P. von Allmen, F. Oyafuso, S. Lee, and G. Klimeck, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.1814810 85, 4193 (2004).
22. C. Pryor, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.57.7190 57, 7190 (1998).
23. M. Grundmann, O. Stier, and D. Bimberg, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.52.11969 52, 11969 (1995).
24. L. R. C. Fonseca, J. L. Jimenez, J. P. Leburton, and R. M. Martin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.57.4017 57, 4017 (1998).
25. M. Califano and P. Harrison, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.61.10959 61, 10959 (2000).
26. R. V. N. Melnik and M. Willatzen, Nanotechnology NNOTER 0957-4484 10.1088/0957-4484/15/1/001 15, 1 (2004).
27. For example, see L. D. Landau and E. M. Lifshitz, Quantum Mechanics: Nonrelativistic Theory, Course of Theoretical Physics Vol. 3 (Pergamon, Oxford, 1975).
28. E. Dekel, D. Gershoni, E. Ehrenfreund, J. M. Garcia, and P. M. Petroff, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.61.11009 61, 11009 (2000).
29. S. Raymond, S. Studenikin, A. Sachrajda, Z. Wasilewski, S. J. Cheng, W. Sheng, P. Hawrylak, A. Babinski, M. Potemski, G. Ortner, and M. Bayer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.187402 92, 187402 (2004).
30. P. F. Braun, B. Urbaszek, T. Amand, X. Marie, O. Krebs, B. Eble, A. Lemaitre, and P. Voisin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.74. 245306 74, 245306 (2006).
31. The electron g factor in the InAs/GaAs QDs is determined by the spin-orbit interaction and can be, in principle, calculated if details of the QD conduction and valence band structure (including besides the heavy and light hole also the split-off band) is correctly modeled (see, e.g., papers by Kiselev (Ref.) Kotlyar (Ref.) and Pryor (Ref.) for details). We have estimated the g factor based on a simplified model described in the paper by Ivchenko and Kiselev (Ref.) and using the parameters determined by our model for the annealed QDs. The calculated value, ge =-0.61, for QDs annealed at 900°C is close to that estimated from experiment.
32. M. Bayer, O. Stern, A. Kuther, and A. Forchel, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.61.7273 61, 7273 (2000).
33. M. Bayer, G. Ortner, O. Stern, A. Kuther, A. A. Gorbunov, A. Forchel, P. Hawrylak, S. Fafard, K. Hinzer, T. L. Reinecke, S. N. Walck, J. P. Reithmaier, F. Klopf, and F. Schäfer, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.65.195315 65, 195315 (2002).
34. The 60% indium content approximately corresponds to that for the QDs annealed at Ta =840°C [see Fig. 6].
35. I. A. Yugova, A. Greilich, E. A. Zhukov, D. R. Yakovlev, M. Bayer, D. Reuter, and A. D. Wieck, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.75. 195325 75, 195325 (2007).
36. The authors thank R. V. Cherbunin for contributing the original experimental data from Ref..
37. A. A. Kiselev, E. L. Ivchenko, and U. Rössler, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.58.16353 58, 16353 (1998).
38. R. Kotlyar, T. L. Reinecke, M. Bayer, and A. Forchel, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.63.085310 63, 085310 (2001).
39. C. E. Pryor and M. E. Flatté, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.026804 96, 026804 (2006)
40. C. E. Pryor and M. E. Flatté, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.179901 99, 179901 (2007).
41. E. L. Ivchenko and A. A. Kiselev, Fiz. Tekh. Poluprovodn. (S.-Peterburg) FTPPA4 0015-3222 26, 1471 (1992)
42. E. L. Ivchenko and A. A. Kiselev, [Sov. Phys. Semicond. SPSEAX 0038-5700 26, 827 (1992)].
43. Handbook of Chemistry and Physics, edited by, R. C. Weast, (The Chemical Rubber Company, Cleveland, Ohio, 2001).