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Multi-scale ordering of self-assembled InAs/GaAs(001) quantum dots


Ordering phenomena related to the self-assembly of InAs quantum dots (QD) grown on GaAs(001) substrates are experimentally investigated on different length scales. On the shortest length-scale studied here, we examine the QD morphology and observe two types of QD shapes, i.e., pyramids and domes. Pyramids are elongated along the [110] directions and are bounded by {137} facets, while domes have a multi-facetted shape. By changing the growth rates, we are able to control the size and size homogeneity of freestanding QDs. QDs grown by using low growth rate are characterized by larger sizes and a narrower size distribution. The homogeneity of buried QDs is measured by photoluminescence spectroscopy and can be improved by low temperature overgrowth. The overgrowth induces the formation of nanostructures on the surface. The fabrication of self-assembled nanoholes, which are used as a template to induce short-range positioning of QDs, is also investigated. The growth of closely spaced QDs (QD molecules) containing 2–6 QDs per QD molecule is discussed. Finally, the long-range positioning of self-assembled QDs, which can be achieved by the growth on patterned substrates, is demonstrated. Lateral QD replication observed during growth of three-dimensional QD crystals is reported.



  1. 1.

    Bimberg D, Grundmann M, Ledentsov NN: Quantum Dot Heterostructures. Wiley, Chichester; 1999.

    Google Scholar 

  2. 2.

    Masumoto Y, Takagahara T: Semiconductor Quantum Dots: Physics, Spectroscopy and Applications. Springer, Berlin Heidelberg; 2002.

    Google Scholar 

  3. 3.

    Gérard JM, Sermage B, Gayral B, Legrand B, Costard E, Thierry-Mieg V: Phys. Rev. Lett.. 1998, 81: 1110. 10.1103/PhysRevLett.81.1110

    Article  Google Scholar 

  4. 4.

    Yoshie T, Scherer A, Hendrickson J, Khitrova G, Gibbs H. M, Rupper G, Ell C, Shchekin OB, Deppe DG: Nature. 2004, 432: 2000. 10.1038/nature03119

    Article  Google Scholar 

  5. 5.

    M. Sugawara, Semiconductors and Semimetals, vol. 60, ed. by R.K. Willardson, A.C. Beer (Academic Press, London 1999)

    Google Scholar 

  6. 6.

    Schmidt OG, Kiravittaya S, Nakamura Y, Heidemeyer H, Songmuang R, Müller C, Jin-Phillipp NY, Eberl K, Wawra H, Christiansen S, Gräbeldinger H, Schweizer H: Surf. Sci.. 2002, 514: 10. COI number [1:CAS:528:DC%2BD38Xls12gsLk%3D] COI number [1:CAS:528:DC%2BD38Xls12gsLk%3D] 10.1016/S0039-6028(02)01601-1

    Article  Google Scholar 

  7. 7.

    Shchukin VA, Bimberg D: Rev. Mod. Phy.. 1999, 71: 1125. COI number [1:CAS:528:DyaK1MXlvVaisbs%3D] COI number [1:CAS:528:DyaK1MXlvVaisbs%3D] 10.1103/RevModPhys.71.1125

    Article  Google Scholar 

  8. 8.

    Stangl J, Holý V, Bauer G: Rev. Mod. Phys.. 2004, 76: 725. COI number [1:CAS:528:DC%2BD2MXkslKqug%3D%3D] COI number [1:CAS:528:DC%2BD2MXkslKqug%3D%3D] 10.1103/RevModPhys.76.725

    Article  Google Scholar 

  9. 9.

    Márquez J, Geelhaar L, Jacobi K: Appl. Phys. Lett.. 2001, 78: 2309. 10.1063/1.1365101

    Article  Google Scholar 

  10. 10.

    Kaizu T, Yamaguchi K: Jpn. J. Appl. Phys.. 2003, 42: 4166. COI number [1:CAS:528:DC%2BD3sXlsVOis7k%3D] COI number [1:CAS:528:DC%2BD3sXlsVOis7k%3D] 10.1143/JJAP.42.4166

    Article  Google Scholar 

  11. 11.

    Ruvimov S, Werner P, Scheerschmidt K, Gösele U, Heydenreich J, Richter U, Ledentsov NN, Grundmann M, Bimberg D, Ustinov VM, Egorov AY, Kop’ev PS, Alferov ZhI: Phys. Rev. B. 1995, 51: 14766. COI number [1:CAS:528:DyaK2MXmtVKhs7o%3D] COI number [1:CAS:528:DyaK2MXmtVKhs7o%3D] 10.1103/PhysRevB.51.14766

    Article  Google Scholar 

  12. 12.

    Costantini G, Manzano C, Songmuang R, Schmidt OG, Kern K: Appl. Phys. Lett.. 2003, 82: 3194. COI number [1:CAS:528:DC%2BD3sXjs1Gksr0%3D] COI number [1:CAS:528:DC%2BD3sXjs1Gksr0%3D] 10.1063/1.1572534

    Article  Google Scholar 

  13. 13.

    Costantini G, Rastelli A, Manzano C, Songmuang R, Schmidt OG, Kern K, von Känel H: Appl. Phys. Lett.. 2004, 85: 5673. COI number [1:CAS:528:DC%2BD2cXhtVKqsLnO] COI number [1:CAS:528:DC%2BD2cXhtVKqsLnO] 10.1063/1.1829164

    Article  Google Scholar 

  14. 14.

    Costantini G, Rastelli A, Manzano C, Acosta-Diaz P, Katsaros G, Songmuang R, Schmidt OG, von Känel H, Kern K: J. Cryst. Growth. 2005, 278: 38. COI number [1:CAS:528:DC%2BD2MXjsVeltL4%3D] COI number [1:CAS:528:DC%2BD2MXjsVeltL4%3D] 10.1016/j.jcrysgro.2004.12.047

    Article  Google Scholar 

  15. 15.

    A. Rastelli, H. von Ka¨ nel, Surf. Sci. 532–535, 769 (2003)

    Google Scholar 

  16. 16.

    Mukhametzhanov I, Wei Z, Heitz R, Madhukar A: Appl. Phys. Lett.. 1999, 75: 85. COI number [1:CAS:528:DyaK1MXktVSit78%3D] COI number [1:CAS:528:DyaK1MXktVSit78%3D] 10.1063/1.124284

    Article  Google Scholar 

  17. 17.

    Medeiros-Ribeiro G, Bratkovski AM, Kamins TI, Ohlberg DAA, Williams RS: Science. 1998, 279: 353. COI number [1:CAS:528:DyaK1cXmtlOiuw%3D%3D] COI number [1:CAS:528:DyaK1cXmtlOiuw%3D%3D] 10.1126/science.279.5349.353

    Article  Google Scholar 

  18. 18.

    Leonard D, Krishnamurthy M, Reaves CM, Denbaars SP, Petroff PM: Appl. Phys. Lett.. 1993, 63: 3203. COI number [1:CAS:528:DyaK2cXht1WrtbY%3D] COI number [1:CAS:528:DyaK2cXht1WrtbY%3D] 10.1063/1.110199

    Article  Google Scholar 

  19. 19.

    Songmuang R, Kiravittaya S, Sawadsaringkarn M, Panyakeow S, Schmidt OG: J. Cryst. Growth. 2003, 251: 166. COI number [1:CAS:528:DC%2BD3sXitlWmu7c%3D] COI number [1:CAS:528:DC%2BD3sXitlWmu7c%3D] 10.1016/S0022-0248(02)02474-0

    Article  Google Scholar 

  20. 20.

    Nakata Y, Mukai K, Sugawara M, Ohtsubo K, Ishikawa H, Yokoyama N: J. Cryst. Growth. 2000, 208: 93. COI number [1:CAS:528:DyaK1MXotVKls78%3D] COI number [1:CAS:528:DyaK1MXotVKls78%3D] 10.1016/S0022-0248(99)00466-2

    Article  Google Scholar 

  21. 21.

    Chen Y, Washburn J: Phys. Rev. Lett.. 1996, 77: 4046. COI number [1:CAS:528:DyaK28XmvVKiurw%3D] COI number [1:CAS:528:DyaK28XmvVKiurw%3D] 10.1103/PhysRevLett.77.4046

    Article  Google Scholar 

  22. 22.

    Kiravittaya S, Nakamura Y, Schmidt OG: Physica E. 2002, 13: 224. COI number [1:CAS:528:DC%2BD38XksFOitLc%3D] COI number [1:CAS:528:DC%2BD38XksFOitLc%3D] 10.1016/S1386-9477(01)00525-2

    Article  Google Scholar 

  23. 23.

    Songmuang R, Kiravittaya S, Schmidt OG: J. Cryst. Growth. 2003, 249: 416. COI number [1:CAS:528:DC%2BD3sXpsFSnsg%3D%3D] COI number [1:CAS:528:DC%2BD3sXpsFSnsg%3D%3D] 10.1016/S0022-0248(02)02222-4

    Article  Google Scholar 

  24. 24.

    Rastelli A, Müller E, von Känel H: Appl. Phys. Lett.. 2002, 80: 1438. COI number [1:CAS:528:DC%2BD38XhsVCntbs%3D] COI number [1:CAS:528:DC%2BD38XhsVCntbs%3D] 10.1063/1.1453476

    Article  Google Scholar 

  25. 25.

    Nishi K, Saito H, Sugou S, Lee J-S: Appl. Phys. Lett.. 1999, 74: 1111. COI number [1:CAS:528:DyaK1MXhtF2ht7Y%3D] COI number [1:CAS:528:DyaK1MXhtF2ht7Y%3D] 10.1063/1.123459

    Article  Google Scholar 

  26. 26.

    Shiraishi K: Appl. Phys. Lett.. 1992, 60: 1363. COI number [1:CAS:528:DyaK38XhvVWqu7g%3D] COI number [1:CAS:528:DyaK38XhvVWqu7g%3D] 10.1063/1.107292

    Article  Google Scholar 

  27. 27.

    Xie Q, Chen P, Madhukar A: Appl. Phys. Lett.. 1994, 65: 2051. COI number [1:CAS:528:DyaK2cXntFejurc%3D] COI number [1:CAS:528:DyaK2cXntFejurc%3D] 10.1063/1.112790

    Article  Google Scholar 

  28. 28.

    Burkard G, Seelig G, Loss D: Phys. Rev. B. 2000, 62: 1581. 10.1103/PhysRevB.62.2581

    Article  Google Scholar 

  29. 29.

    Stievater TH, Li X, Steel DG, Gammon D, Katzer DS, Park D, Piermarocchi C, Sham LJ: Phys. Rev. Lett.. 2001, 87: 133603. COI number [1:STN:280:DC%2BD3MrjtlOrug%3D%3D] COI number [1:STN:280:DC%2BD3MrjtlOrug%3D%3D] 10.1103/PhysRevLett.87.133603

    Article  Google Scholar 

  30. 30.

    Zrenner A, Beham E, Stufler S, Findeis F, Bichler M, Abstreiter G: Nature. 2002, 418: 612. COI number [1:CAS:528:DC%2BD38XlvVyltL4%3D] COI number [1:CAS:528:DC%2BD38XlvVyltL4%3D] 10.1038/nature00912

    Article  Google Scholar 

  31. 31.

    Li X, Wu Y, Steel D, Gammon D, Stievater TH, Katzer DS, Park D, Piermarocchi C, Sham LJ: Science. 2003, 301: 809. COI number [1:CAS:528:DC%2BD3sXmtVGqsrc%3D] COI number [1:CAS:528:DC%2BD3sXmtVGqsrc%3D] 10.1126/science.1083800

    Article  Google Scholar 

  32. 32.

    Xie Q, Madhukar A, Chen P, Kobayashi NP: Phys. Rev. Lett.. 1995, 75: 2542. COI number [1:CAS:528:DyaK2MXot1Oht7Y%3D] COI number [1:CAS:528:DyaK2MXot1Oht7Y%3D] 10.1103/PhysRevLett.75.2542

    Article  Google Scholar 

  33. 33.

    Schuler H, Jin-Phillipp NY, Phillipp F, Eberl K: Semicond. Sci. Technol.. 1998, 13: 1341. COI number [1:CAS:528:DyaK1cXnsVWjsbw%3D] COI number [1:CAS:528:DyaK1cXnsVWjsbw%3D] 10.1088/0268-1242/13/11/001

    Article  Google Scholar 

  34. 34.

    Kiravittaya S, Songmuang R, Schmidt OG: J. Cryst. Growth. 2003, 251: 258. COI number [1:CAS:528:DC%2BD3sXitlWls7g%3D] COI number [1:CAS:528:DC%2BD3sXitlWls7g%3D] 10.1016/S0022-0248(02)02475-2

    Article  Google Scholar 

  35. 35.

    L. Wang, A. Rastelli, S. Kiravittaya, R. Songmuang, O.G. Schmidt, B. Krause, T.H. Metzger, Nanoscale Res. Lett.(in press)

  36. 36.

    Penev E, Stojković S, Kratzer P, Scheffler M: Phys. Rev. B. 2004, 69: 115335. 10.1103/PhysRevB.69.115335

    Article  Google Scholar 

  37. 37.

    Schmidt OG, Deneke Ch, Kiravittaya S, Songmuang R, Heidemeyer H, Nakamura Y, Zapf-Gottwick R, Müller C, Jin-Phillipp NY: IEEE J. Sel. Top. Quantum Electron.. 2002, 8: 1025. COI number [1:CAS:528:DC%2BD38XpsVOgtb0%3D] COI number [1:CAS:528:DC%2BD38XpsVOgtb0%3D] 10.1109/JSTQE.2002.804235

    Article  Google Scholar 

  38. 38.

    Songmuang R, Kiravittaya S, Schmidt OG: Appl. Phys. Lett.. 2003, 82: 2892. COI number [1:CAS:528:DC%2BD3sXjtlSisrw%3D] COI number [1:CAS:528:DC%2BD3sXjtlSisrw%3D] 10.1063/1.1569992

    Article  Google Scholar 

  39. 39.

    Kiravittya S, Heidemeyer H, Schmidt OG: Physica E. 2004, 23: 253. 10.1016/j.physe.2003.10.013

    Article  Google Scholar 

  40. 40.

    Heidemeyer H, Müller C, Schmidt OG: J. Cryst. Growth. 2004, 261: 444. COI number [1:CAS:528:DC%2BD2cXisFOrtw%3D%3D] COI number [1:CAS:528:DC%2BD2cXisFOrtw%3D%3D] 10.1016/j.jcrysgro.2003.09.030

    Article  Google Scholar 

  41. 41.

    Kiravittaya S, Schmidt OG: Appl. Phys. Lett.. 2005, 86: 206101. 10.1063/1.1925771

    Article  Google Scholar 

  42. 42.

    Kiravittaya S, Heidemeyer H, Schmidt OG: Appl. Phys. Lett.. 2005, 86: 263113. 10.1063/1.1954874

    Article  Google Scholar 

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The technical support of U. Waizmann, T. Reindl, and M. Riek is acknowledged. The authors would like to thank K. von Klitzing for continuous interest and support. This work was financially supported by the Bundesministerium für Bildung und Forschung (contract number: 03N8711).

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Kiravittaya, S., Songmuang, R., Rastelli, A. et al. Multi-scale ordering of self-assembled InAs/GaAs(001) quantum dots. Nanoscale Res Lett 1, 1 (2006).

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  • Self-assembly
  • Semiconductor quantum dots
  • Photoluminescence