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Atomistic Pseudopotential Theory of Droplet Epitaxial GaAs/AlGaAs Quantum Dots

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Nanodroplets

Part of the book series: Lecture Notes in Nanoscale Science and Technology ((LNNST,volume 18))

Abstract

In this chapter, following the introduction to the basic electronic properties of semiconductor quantum dots (QDs), we first briefly introduce our atomistic methodology for multi-million atom nanostructures, which is based on the empirical pseudopotential method for the solution of the single-particle problem combined with the configuration interaction (CI) scheme for the many-body problem which were developed in the solid-state theory group at the National Renewable Energy Laboratory over the past two decades. This methodology, described in Sect. 14.2, can be used to provide quantitative predictions of the electronic and optical properties of colloidal nanostructures containing thousands of atoms as well as epitaxial nanostructures containing several millions of atoms. In Sect. 14.3, we show how the multi-exciton spectra of a droplet epitaxy QD encodes nontrivial structural information that can be uncovered by atomistic many-body pseudopotential calculations. In Sect. 14.4, we investigate the vertical electric field tuning of the fine-structure splitting (FSS) in several InGaAs and GaAs QDs using our atomistic methodology. We reveal the influence of the atomic-scale structure on the exciton FSS in QDs. Finally, a comprehensive and quantitative analysis of the different mechanisms leading to HH–LH mixing in QDs is presented in Sect. 14.5. The novel quantum transmissibility of HH–LH mixing mediated by intermediate states is discovered. The design rules for optimization of the HH–LH mixing in QDs are given in this section.

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Notes

  1. 1.

    We are grateful to Prof. P.M. Koenraad and Dr. M. Takaaki for clarifying to us now that the QDs used in XSTM were different than those used for PL measurements.

References

  1. Poem, E., Shemesh, J., Marderfeld, I., Galushko, D., Akopian, N., Gershoni, D., Gerardot, B.D., Badolato, A., Petroff, P.M.: Phys. Rev. B 76, 235304 (2007)

    Article  Google Scholar 

  2. Abbarchi, M., Kuroda, T.T., Mano, T., Sakoda, K., Mastrandrea, C., Vinattieri, A., Gurioli, M., Tsuchiya, T.: Phys. Rev. B 3, 774 (2007)

    Google Scholar 

  3. Hatami, F., Masselink, W.T., Schrottke, L., Tomm, J.W., Talalaev, V., Kristukat, C., Goñi, A.R.: Phys. Rev. B 67, 085306 (2003)

    Article  Google Scholar 

  4. Koguchi, N., Ishige, K.: Jpn. J. Appl. Phys. 32, 2052 (1993)

    Article  Google Scholar 

  5. Moison, J.M., Houzay, F., Barthe, F., Leprince, L., André, E., Vatel, O.: Appl. Phys. Lett. 64, 196 (1994). http://link.aip.org/link/?APL/64/196/1

    Google Scholar 

  6. Wang, Z.M., Liang, B.L., Sablon, K.A., Salamo, G.J.: Appl. Phys. Lett. 90, 113120 (3 pp.) (2007). http://link.aip.org/link/?APL/90/113120/1

    Google Scholar 

  7. Lee, J.H., Wang, Z.M., Strom, N.W., Mazur, Y.I., Salamo, G.J.: Appl. Phys. Lett. 89, 202101 (3 pp.) (2006). http://link.aip.org/link/?APL/89/202101/1

    Google Scholar 

  8. Wang, L., Křápek, V., Ding, F., Horton, F., Schliwa, A., Bimberg, D., Rastelli, A., Schmidt, O.G.: Phys. Rev. B 80, 085309 (2009). http://link.aps.org/doi/10.1103/PhysRevB.80.085309

  9. Sonnenberg, D., Graf, A., Paulava, V., Hansen, W., Heyn, C.: Appl. Phys. Lett. 101, 143106 (4 pp.) (2012). http://link.aip.org/link/?APL/101/143106/1

    Google Scholar 

  10. Atkinson, P., Zallo, E., Schmidt, O.G.: J. Appl. Phys. 112, 054303 (5 pp.) (2012). http://link.aip.org/link/?JAP/112/054303/1

    Google Scholar 

  11. Rastelli, A., Stufler, S., Schliwa, A., Songmuang, R., Manzano, C., Costantini, G., Kern, K., Zrenner, A., Bimberg, D., Schmidt, O.G.: Phys. Rev. Lett. 92, 166104 (2004). http://link.aps.org/doi/10.1103/PhysRevLett.92.166104

    Google Scholar 

  12. Wei, S.-H., Zunger, A.: Phys. Rev. B 49, 14337 (1994)

    Article  Google Scholar 

  13. Bir, G., Pikus, G.: Symmetry and Strain-Induced Effects in Semiconductors. Wiley, New York (1974)

    Google Scholar 

  14. Li, S.-S., Xia, J.-B.: Phys. Rev. B 55, 15434 (1997)

    Article  Google Scholar 

  15. Luo, J.-W., Franceschetti, A., Zunger, A.: Phys. Rev. B 78, 035306 (2008)

    Article  Google Scholar 

  16. Zhang, L., d’Avezac, M., Luo, J.-W., Zunger, A.: Nano Lett. 12, 984 (2012)

    Google Scholar 

  17. d’Avezac, M., Luo, J.-W., Chanier, T., Zunger, A.: Phys. Rev. Lett. 108, 027401 (2012)

    Google Scholar 

  18. Luo, J.-W., Chantis, A.N., van Schilfgaarde, M., Bester, G., Zunger, A.: Phys. Rev. Lett. 104, 066405 (2010)

    Article  Google Scholar 

  19. Bennett, A.J., Pooley, M.A., Stevenson, R.M., Ward, M.B., Patel, R.B., de la Giroday, A.B., Skold, N., Farrer, I., Nicoll, C.A., Ritchie, D.A., et al.: Nat. Phys. 6, 947 (2010)

    Article  Google Scholar 

  20. Ghali, M., Ohtani, K., Ohno, Y., Ohno, H.: Nat. Commun. 3, 661 (2012)

    Article  Google Scholar 

  21. Luo, J.-W., Singh, R., Zunger, A., Bester, G.: Phys. Rev. B 86, 161302 (2012)

    Article  Google Scholar 

  22. Fischer, J., Loss, D.: Phys. Rev. Lett. 105, 266603 (2010)

    Article  Google Scholar 

  23. Koudinov, A.V., Akimov, I.A., Kusrayev, Y.G., Henneberger, F.: Phys. Rev. B 70, 241305 (2004)

    Article  Google Scholar 

  24. Kowalik, K., Krebs, O., Lemaître, A., Gaj, J.A., Voisin, P.: Phys. Rev. B 77, 161305 (2008)

    Article  Google Scholar 

  25. Belhadj, T., Amand, T., Kunold, A., Simon, C.-M., Kuroda, T., Abbarchi, M., Mano, T., Sakoda, K., Kunz, S., Marie, X., et al.: Appl. Phys. Lett. 97, 051111 (3 pp.) (2010)

    Google Scholar 

  26. Liao, Y.-H., Liao, C.-C., Ku, C.-H., Chang, Y.-C., Cheng, S.-J., Jo, M., Kuroda, T., Mano, T., Abbarchi, M., Sakoda, K.: Phys. Rev. B 86, 115323 (2012)

    Article  Google Scholar 

  27. Tonin, C., Hostein, R., Voliotis, V., Grousson, R., Lemaître, A., Martinez, A.: Phys. Rev. B 85, 155303 (2012)

    Article  Google Scholar 

  28. Wang, L.-W., Zunger, A.: Phys. Rev. B 51, 17398 (1995)

    Article  Google Scholar 

  29. Luo, J.-W., Li, S.-S., Xia, J.-B., Wang, L.-W.: Appl. Phys. Lett. 88, 143108 (2006)

    Article  Google Scholar 

  30. Luo, J.-W., Franceschetti, A., Zunger, A.: Nano Lett. 8, 3174 (2008)

    Article  Google Scholar 

  31. Luo, J.W., Franceschetti, A., Zunger, A.: Phys. Rev. B 79, 201301 (2009)

    Article  Google Scholar 

  32. Luo, J.-W., Franceschetti, A., Zunger, A.: Nano Lett. 9, 2648 (2009)

    Article  Google Scholar 

  33. Zhang, L., Luo, J.-W., Zunger, A., Akopian, N., Zwiller, V., Harmand, J.-C.: Nano Lett. 10, 4055 (2010)

    Article  Google Scholar 

  34. Luo, J.-W., Stradins, P., Zunger, A.: Energy Environ. Sci. 4, 2546 (2011)

    Article  Google Scholar 

  35. Bester, G., Nair, S., Zunger, A.: Phys. Rev. B 67, 161306 (2003)

    Article  Google Scholar 

  36. Bester, G., Zunger, A.: Phys. Rev. B 71, 045318 (2005)

    Article  Google Scholar 

  37. Luo, J.-W., Li, S.-S., Xia, J.-B., Wang, L.-W.: Phys. Rev. B 71, 245315 (2005)

    Article  Google Scholar 

  38. Luo, J.-W., Bester, G., Zunger, A.: New J. Phys. 11, 123024 (2009)

    Article  Google Scholar 

  39. Mlinar, V., Bozkurt, M., Ulloa, J.M., Ediger, M., Bester, G., Badolato, A., Koenraad, P.M., Warburton, R.J., Zunger, A.: Phys. Rev. B 80, 165425 (2009)

    Article  Google Scholar 

  40. Luo, J.-W., Zunger, A.: Phys. Rev. Lett. 105, 176805 (2010)

    Article  Google Scholar 

  41. Luo, J.-W., Zunger, A.: Phys. Rev. B 84, 235317 (2011)

    Article  Google Scholar 

  42. Bester, G.: J. Phys. Condens. Matter 21, 023202 (2009)

    Article  Google Scholar 

  43. Wang, L.-W., Zunger, A.: Phys. Rev. B 59, 15806 (1999)

    Article  Google Scholar 

  44. Franceschetti, A., Fu, H., Wang, L.-W., Zunger, A.: Phys. Rev. B 60, 1819 (1999)

    Article  Google Scholar 

  45. Pryor, C., Kim, J., Wang, L.W., Williamson, A.J., Zunger, A.: J. Appl. Phys. 83, 2548 (1998)

    Article  Google Scholar 

  46. Williamson, A.J., Wang, L.-W., Zunger, A.: Phys. Rev. B 62, 12963 (2000)

    Article  Google Scholar 

  47. Luo, J.-W., Bester, G., Zunger, A.: Phys. Rev. B 79, 125329 (2009)

    Article  Google Scholar 

  48. Keating, P.N.: Phys. Rev. 145, 637 (1966)

    Article  Google Scholar 

  49. Bester, G., Zunger, A.: Phys. Rev. B 72, 165334 (2005)

    Article  Google Scholar 

  50. Vurgaftman, I., Meyer, J.R., Ram-Mohan, L.R.: J. Appl. Phys. 89, 5815 (2001)

    Article  Google Scholar 

  51. Yu, P.Y., Cardona, M.: Fundamentals of Semiconductors: Physics and Materials Properties, 3rd edn. Springer, Berlin (2004)

    Google Scholar 

  52. Barrow, G.M.: Introduction to Molecular Spectroscopy, 3rd edn. McGraw-Hill, New York (1962)

    Google Scholar 

  53. Krenner, H.J., Clark, E.C., Nakaoka, T., Bichler, M., Scheurer, C., Abstreiter, G., Finley, J.J.: Phys. Rev. Lett. 97, 076403 (2006)

    Article  Google Scholar 

  54. Ester, P., Stufler, S., de Vasconcellos, S.M., Bichler, M., Zrenner, A.: Phys. Status Solidi (c) 3, 3722 (2006)

    Google Scholar 

  55. Sychugov, I., Juhasz, R., Valenta, J., Linnros, J.: Phys. Rev. Lett. 94, 087405 (2005)

    Article  Google Scholar 

  56. Abbarchi, M., Kuroda, T., Mano, T., Sakoda, K., Mastrandrea, C.A., Vinattieri, A., Gurioli, M., Tsuchiya, T.: Phys. Rev. B 82, 201301 (2010)

    Article  Google Scholar 

  57. Keizer, J.G., Bocquel, J., Koenraad, P.M., Mano, T., Noda, T., Sakoda, K.: Appl. Phys. Lett. 96, 062101 (3 pp.) (2010)

    Google Scholar 

  58. Blokland, J.H., Bozkurt, M., Ulloa, J.M., Reuter, D., Wieck, A.D., Koenraad, P.M., Christianen, P.C.M., Maan, J.C.: Appl. Phys. Lett. 94, 023107 (3 pp.) (2009)

    Google Scholar 

  59. Kumah, D.P., Wu, J.H., Husseini, N.S., Dasika, V.D., Goldman, R.S., Yacoby, Y., Clarke, R.: Appl. Phys. Lett. 98, 021903 (3 pp.) (2011)

    Google Scholar 

  60. Abbarchi, M., Mastrandrea, C.A., Kuroda, T., Mano, T., Sakoda, K., Koguchi, N., Sanguinetti, S., Vinattieri, A., Gurioli, M.: Phys. Rev. B 78, 125321 (2008)

    Article  Google Scholar 

  61. Kuroda, K., Kuroda, T., Sakoda, K., Watanabe, K., Koguchi, N., Kido, G.: Appl. Phys. Lett. 88, 124101 (3 pp.) (2006)

    Google Scholar 

  62. Jo, M., Mano, T., Sakoda, K.: J. Appl. Phys. 108, 083505 (3 pp.) (2010)

    Google Scholar 

  63. Mano, T., Abbarchi, M., Kuroda, T., Mastrandrea, C., Vinattieri, A., Sanguinetti, S., Sakoda, K., Gurioli, M.: Nanotechnology 20, 395601 (2009)

    Article  Google Scholar 

  64. Abbarchi, M., Kuroda, T., Mastrandrea, C., Vinattieri, A., Sanguinetti, S., Mano, T., Sakoda, K., Gurioli, M.: Physica E Low Dimens. Syst. Nanostruct. 42, 881 (2010)

    Article  Google Scholar 

  65. Keizer, J.G., Jo, T.M.M., Noda, T., Sakoda, K., Koenraad, P.M.: Appl. Phys. Lett. 98, 193112 (2011)

    Article  Google Scholar 

  66. Mlinar, V., Zunger, A.: Phys. Rev. B 80, 205311 (2009)

    Article  Google Scholar 

  67. Ivchenko, E.L.: Phys. Status Solidi (a) 164, 487 (1997)

    Google Scholar 

  68. Singh, R., Bester, G.: Phys. Rev. Lett. 104, 196803 (2010)

    Article  Google Scholar 

  69. Plumhof, J.D., Křápek, V., Wang, L., Schliwa, A., Bimberg, D., Rastelli, A., Schmidt, O.G.: Phys. Rev. B 81, 121309 (2010)

    Article  Google Scholar 

  70. Bayer, M., Ortner, G., Stern, O., Kuther, A., Gorbunov, A.A., Forchel, A., Hawrylak, P., Fafard, S., Hinzer, K., Reinecke, T.L., et al.: Phys. Rev. B 65, 195315 (2002)

    Article  Google Scholar 

  71. Benson, O., Santori, C., Pelton, M., Yamamoto, Y.: Phys. Rev. Lett. 84, 2513 (2000)

    Article  Google Scholar 

  72. Michler, P. (ed.): Single Semiconductor Quantum Dots Series: NanoScience and Technology. Springer, Berlin (2009)

    Google Scholar 

  73. Bayer, M., Kuther, A., Forchel, A., Gorbunov, A., Timofeev, V.B., Schäfer, F., Reithmaier, J.P., Reinecke, T.L., Walck, S.N.: Phys. Rev. Lett. 82, 1748 (1999)

    Article  Google Scholar 

  74. Warburton, R.J., Schaflein, C., Haft, D., Bickel, F., Lorke, A., Karrai, K., Garcia, J.M., Schoenfeld, W., Petroff, P.M.: Nature 405, 926 (2000)

    Article  Google Scholar 

  75. Takagahara, T.: Phys. Rev. B 62, 16840 (2000)

    Article  Google Scholar 

  76. Besombes, L., Kheng, K., Martrou, D.: Phys. Rev. Lett. 85, 425 (2000)

    Article  Google Scholar 

  77. Seguin, R., Schliwa, A., Rodt, S., Potschke, K., Pohl, U.W., Bimberg, D.: Phys. Rev. Lett. 95, 257402 (2005)

    Article  Google Scholar 

  78. Seidl, S., Kroner, M., Högele, A., Karrai, K., Warburton, R., Badolato, A., Petroff, P.: Appl. Phys. Lett. 88 (2006)

    Google Scholar 

  79. Plumhof, J.D., Křápek, V., Ding, F., Jöns, K.D., Hafenbrak, R., Klenovský, P., Herklotz, A., Dörr, K., Michler, P., Rastelli, A., et al.: Phys. Rev. B 83, 121302 (2011)

    Article  Google Scholar 

  80. Kowalik, K., Krebs, O., Lemaitre, A., Laurent, S., Senellart, P., Voisin, P., Gaj, J.A.: Appl. Phys. Lett. 86, 041907 (2005)

    Article  Google Scholar 

  81. Marcet, S., Ohtani, K., Ohno, H.: Appl. Phys. Lett. 96, 101117 (2010)

    Article  Google Scholar 

  82. Stevenson, R.M., Young, R.J., See, P., Gevaux, D.G., Cooper, K., Atkinson, P., Farrer, I., Ritchie, D.A., Shields, A.J.: Phys. Rev. B 73, 033306 (2006)

    Article  Google Scholar 

  83. Jundt, G., Robledo, L., Högele, A., Fält, S., Imamoğlu, A.: Phys. Rev. Lett. 100, 177401 (2008)

    Article  Google Scholar 

  84. Muller, A., Fang, W., Lawall, J., Solomon, G.S.: Phys. Rev. Lett. 103, 217402 (2009)

    Article  Google Scholar 

  85. Gong, M., Zhang, W., Guo, G.-C., He, L.: Phys. Rev. Lett. 106, 227401 (2011)

    Article  Google Scholar 

  86. Watanabe, K., Koguchi, N., Gotoh, Y.: Jpn. J. Appl. Phys. 39, L79 (2000)

    Article  Google Scholar 

  87. Young, R.J., Stevenson, R.M., Shields, A.J., Atkinson, P., Cooper, K., Ritchie, D.A., Groom, K.M., Tartakovskii, A.I., Skolnick, M.S.: Phys. Rev. B 72, 113305 (2005)

    Article  Google Scholar 

  88. Stevenson, R.M., Salter, C.L., Nilsson, J., Bennett, A.J., Ward, M.B., Farrer, I., Ritchie, D.A., Shields, A.J.: Phys. Rev. Lett. 108, 040503 (2012)

    Article  Google Scholar 

  89. Vogel, M.M., Ulrich, S.M., Hafenbrak, R., Michler, P., Wang, L., Rastelli, A., Schmidt, O.G.: Appl. Phys. Lett. 91, 051904 (3 pp.) (2007)

    Google Scholar 

  90. Jaros, M.: Rep. Prog. Phys. 48, 1091 (1985)

    Article  Google Scholar 

  91. Trotta, R., Zallo, E., Ortix, C., Atkinson, P., Plumhof, J.D., van den Brink, J., Rastelli, A., Schmidt, O.G.: Phys. Rev. Lett. 109, 147401 (2012)

    Article  Google Scholar 

  92. Ladd, T.D.: Physics 5, 109 (2012)

    Article  Google Scholar 

  93. Li, S.-S., Xia, J.-B., Yuan, Z.L., Xu, Z.Y., Ge, W., Wang, X.R., Wang, Y., Wang, J., Chang, L.L.: Phys. Rev. B 54, 11575 (1996)

    Article  Google Scholar 

  94. Koster, G., Dimmock, J., Wheeler, R., Statz, H.: Properties of the Thirty-Two Point Groups. MIT, Cambridge (1963)

    Google Scholar 

  95. Magri, R., Zunger, A.: Phys. Rev. B 62, 10364 (2000)

    Article  Google Scholar 

  96. van Kesteren, H.W., Cosman, E.C., van der Poel, W.A.J.A., Foxon, C.T.: Phys. Rev. B 41, 5283 (1990)

    Article  Google Scholar 

  97. Chang, Y.-C., Schulman, J.N.: Appl. Phys. Lett. 43, 536 (1983)

    Article  Google Scholar 

  98. Ivchenko, E.L., Kaminski, A.Y., Rössler, U.: Phys. Rev. B 54, 5852 (1996)

    Article  Google Scholar 

  99. Winkler, R.: Spin-Orbit Coupling Effects in Two-Dimensional Electron and Hole Systems. Springer Tracts in Modern Physics, vol. 191. Springer, Berlin (2003)

    Google Scholar 

  100. Luttinger, J.M., Kohn, W.: Phys. Rev. 97, 869 (1955)

    Article  Google Scholar 

  101. Kane, E.O.: J. Phys. Chem. Solids 1, 249 (1957)

    Article  Google Scholar 

  102. Tanaka, T., Singh, J., Arakawa, Y., Bhattacharya, P.: Appl. Phys. Lett. 62, 756 (1993)

    Article  Google Scholar 

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Luo, JW., Bester, G., Zunger, A. (2013). Atomistic Pseudopotential Theory of Droplet Epitaxial GaAs/AlGaAs Quantum Dots. In: Wang, Z. (eds) Nanodroplets. Lecture Notes in Nanoscale Science and Technology, vol 18. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-9472-0_14

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