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Theoretical Modelling of Electronic and Optical Properties of Semiconductor Quantum Rings

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Physics of Quantum Rings

Part of the book series: NanoScience and Technology ((NANO))

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Abstract

A variety of the most common theoretical models that have been applied to investigate electronic properties of quantum rings is presented in this chapter. The advantages and disadvantages of these approaches that cover atomistic as well as continuum modelling are discussed and example simulations on different quantum ring systems are reviewed.

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References

  1. V.M. Fomin, L.F. Chibotaru, J. Nanoelectron. Optoelectron. 4, 3–19 (2009)

    Article  Google Scholar 

  2. V.M. Fomin, J. Nanoelectron. Optoelectron. 6, 1–3 (2011)

    Article  Google Scholar 

  3. A.A. Avetisyan, A.V. Ghazaryan, A.P. Djotyan et al., Acta Phys. Pol. A 116, 826–828 (2009)

    Google Scholar 

  4. J. Even, S. Loualiche, J. Phys. A 37, L289–L294 (2004)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  5. J. Even, C. Cornet, S. Loualiche, Physica E 28, 514–518 (2005)

    Article  ADS  Google Scholar 

  6. M. Zarenia, J. Milton Pereira, A. Chaves et al., Phys. Rev. B 81, 045431 (2010)

    Article  ADS  Google Scholar 

  7. L.-W. Wang, A. Zunger, Phys. Rev. B 59, 15806–15818 (1999)

    Article  ADS  Google Scholar 

  8. A.J. Williamson, L.-W. Wang, A. Zunger, Phys. Rev. B 62, 12963–12977 (2000)

    Article  ADS  Google Scholar 

  9. L.-W. Wang, A. Zunger, J. Phys. Chem. 98, 2158–2165 (1994)

    Article  Google Scholar 

  10. R. Singh, G. Bester, Phys. Rev. B 85, 205405 (2012)

    Article  ADS  Google Scholar 

  11. L.-W. Wang, M. Califano, A. Zunger et al., Phys. Rev. Lett. 91, 056404 (2003)

    Article  ADS  Google Scholar 

  12. W. Zhang, Z. Su, M. Gong et al., Europhys. Lett. 83, 67004 (2008)

    Article  ADS  Google Scholar 

  13. W. Zhang, M. Gong, C.-F. Li et al., J. Appl. Phys. 106, 104314 (2009)

    Article  ADS  Google Scholar 

  14. P.N. Keating, Phys. Rev. 145, 637–645 (1966)

    Article  ADS  Google Scholar 

  15. J.L. Martins, A. Zunger, Phys. Rev. B 30, R6217–R6220 (1984)

    Article  ADS  Google Scholar 

  16. A. Franceschetti, H. Fu, L.-W. Wang et al., Phys. Rev. B 60, 1819–1829 (1999)

    Article  ADS  Google Scholar 

  17. D.W. Jenkins, J.D. Dow, Phys. Rev. B 39, 3317–3329 (1989)

    Article  ADS  Google Scholar 

  18. S. Schulz, G. Czycholl, Phys. Rev. B 72, 165317 (2005)

    Article  ADS  Google Scholar 

  19. H. Dierks, G. Czycholl, J. Cryst. Growth 184–185, 877–881 (1998)

    Article  Google Scholar 

  20. T. Saito, Y. Arakawa, Physica E 15, 169–181 (2002)

    Article  ADS  Google Scholar 

  21. R. Santoprete, B. Koiller, R.B. Capaz et al., Phys. Rev. B 68, 235311 (2003)

    Article  ADS  Google Scholar 

  22. M. Usman, T. Inoue, Y. Harda et al., Phys. Rev. B 84, 115321 (2011)

    Article  ADS  Google Scholar 

  23. P. Potasz, A.D. Güçlü, P. Hawrylak, Acta Phys. Pol. A 116, 832–834 (2006)

    Google Scholar 

  24. J.P. Loehr, Physics of Strained Quantum Well Lasers (Kluwer, Boston, 1998)

    Book  Google Scholar 

  25. J.C. Phillips, Bonds and Bands in Semiconductors (Academic, New York, 1973)

    Google Scholar 

  26. T.B. Boykin, G. Klimeck, R.C. Bowen et al., Phys. Rev. B 56, 4102–4107 (1997)

    Article  ADS  Google Scholar 

  27. J.M. Jancu, R. Scholz, F. Beltram et al., Phys. Rev. B 57, 6493–6507 (1998)

    Article  ADS  Google Scholar 

  28. J.G. Díaz, G.W. Bryant, Phys. Rev. B 73, 075329 (2006)

    Article  ADS  Google Scholar 

  29. P. Vogl, H.P. Hjalmarson, J.D. Dow, Phys. Chem. Solids 44, 365–378 (1983)

    Article  ADS  Google Scholar 

  30. C. Delerue, G. Allan, M. Lannoo, Phys. Rev. B 48, 11024–11036 (1993)

    Article  ADS  Google Scholar 

  31. S. Froyen, W.A. Harrison, Phys. Rev. B 20, 2420–2422 (1979)

    Article  ADS  Google Scholar 

  32. S.K. Maiti, J. Chowdhury, S.N. Karmakar, J. Phys. Condens. Matter 18, 5349–5361 (2006)

    Article  ADS  Google Scholar 

  33. E. Faizabadi, M. Omidi, Phys. Lett. A 373, 1469–1477 (2009)

    Article  ADS  MATH  Google Scholar 

  34. E. Faizabadi, M. Omidi, Phys. Lett. A 374, 1762–1768 (2010)

    Article  ADS  Google Scholar 

  35. M. Lee, C. Bruder, Phys. Rev. B 73, 085315 (2006)

    Article  ADS  Google Scholar 

  36. E.R. Hedin, Y.S. Joe, J. Appl. Phys. 110, 026107 (2011)

    Article  ADS  Google Scholar 

  37. P. Potasz, A.D. Güçlü, P. Hawrylak, Phys. Rev. B 82, 075425 (2010)

    Article  ADS  Google Scholar 

  38. P. Potasz, A.D. Güçlü, O. Voznyy et al., Phys. Rev. B 83, 174441 (2011)

    Article  ADS  Google Scholar 

  39. C. Stampfer, J. Güttinger, F. Molitor et al., Appl. Phys. Lett. 92, 012102 (2008)

    Article  ADS  Google Scholar 

  40. P. Potasz, A.D. Güçlü, P. Hawrylak, Phys. Rev. B 81, 033403 (2010)

    Article  ADS  Google Scholar 

  41. P. Hohenberg, W. Kohn, Phys. Rev. 136, B864–B871 (1964)

    Article  ADS  MathSciNet  Google Scholar 

  42. G. Vignale, M. Rasolt, Phys. Rev. B 37, 10685–10696 (1988)

    Article  ADS  Google Scholar 

  43. M. Ferconi, G. Vignale, Phys. Rev. B 50, 14722–14725 (1994)

    Article  ADS  Google Scholar 

  44. M. Pi, M. Barranco, A. Emperador, E. Lippinari, Ll. Serra, Phys. Rev. B 57, 14783–14792 (1998)

    Article  ADS  Google Scholar 

  45. S. Viefers, P. Singha Deo, S.M. Reimann et al., Phys. Rev. B 62, 10668–10673 (2000)

    Article  ADS  Google Scholar 

  46. S.M. Reimann, M. Koskinen, M. Manninen, Phys. Rev. B 59, 1613–1616 (1999)

    Article  ADS  Google Scholar 

  47. W. Kohn, L.J. Sham, Phys. Rev. 140, A1133–A1138 (1965)

    Article  ADS  MathSciNet  Google Scholar 

  48. J.C. Lin, G.Y. Guo, Phys. Rev. B 65, 035304 (2002)

    Article  ADS  Google Scholar 

  49. L.K. Castellano, G.Q. Hai, B. Partoens et al., Phys. Rev. B 74, 045313 (2006)

    Article  ADS  Google Scholar 

  50. J. Planelles, J.I. Climente, Eur. Phys. J. B 48, 65–70 (2001)

    Article  ADS  Google Scholar 

  51. J.I. Climente, J. Planelles, M. Barranco et al., Phys. Rev. B 73, 235327 (2006)

    Article  ADS  Google Scholar 

  52. T. Mano, T. Kuroda, S. Sanguinetti et al., Nano Lett. 5, 425–428 (2005)

    Article  ADS  Google Scholar 

  53. A. Wojs, P. Hawrylak, S. Fafard et al., Phys. Rev. B 54, 5604–5608 (1996)

    Article  ADS  Google Scholar 

  54. S. Baskoutas, A.F. Terzins, W. Schommers, J. Comput. Theor. Nanosci. 3, 269–271 (2006)

    Google Scholar 

  55. N.A.J.M. Kleemans, I.M.A. Bominaar-Silkens, V.M. Fomin et al., Phys. Rev. Lett. 99, 146808 (2007)

    Article  ADS  Google Scholar 

  56. H.F. Cheung, Y. Gefen, E.K. Riedel et al., Phys. Rev. B 37, 6050–6062 (1988)

    Article  ADS  Google Scholar 

  57. T. Chakraborty, P. Pietiläinen, Phys. Rev. B 50, 8460–8468 (1994)

    Article  ADS  Google Scholar 

  58. S.S. Li, J.B. Xia, J. Appl. Phys. 89, 3434–3437 (2001)

    Article  ADS  Google Scholar 

  59. J.A. Barker, R.J. Warburton, E.P. O’Reilly, Phys. Rev. B 69, 035327 (2004)

    Article  ADS  Google Scholar 

  60. A. Bruno-Alfonso, A. Latgé, Phys. Rev. B 61, 15887–15894 (2001)

    Article  ADS  Google Scholar 

  61. J.M. Llorens, C. Trallero-Giner, A. García-Chrístobal et al., Phys. Rev. B 64, 035309 (2001)

    Article  ADS  Google Scholar 

  62. P.G. McDonald, J. Shumway, I. Galbraith, Appl. Phys. Lett. 97, 173101 (2010)

    Article  ADS  Google Scholar 

  63. G. Bester, A. Zunger, X. Wu et al., Phys. Rev. B 74, 081305(R) (2006)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  65. O. Marquardt, D. Mourad, S. Schulz et al., Phys. Rev. B 78, 235302 (2008)

    Article  ADS  Google Scholar 

  66. D.M. Ceperley, Rev. Mod. Phys. 67, 279–355 (1995)

    Article  ADS  Google Scholar 

  67. M. Harowitz, D. Shin, J. Shumway, J. Low Temp. Phys. 140, 211–226 (2005)

    Article  ADS  Google Scholar 

  68. P.Y. Yu, M. Cardona, Fundamentals of Semiconductors (Springer, Berlin, 1996)

    Book  MATH  Google Scholar 

  69. M. Cardona, F.H. Pollack, Phys. Rev. 142, 530–543 (1966)

    Article  ADS  Google Scholar 

  70. C. Pryor, Phys. Rev. B 56, 10404–10411 (1997)

    Article  ADS  Google Scholar 

  71. T. Bahder, Phys. Rev. B 41, 11992–12001 (1990)

    Article  ADS  Google Scholar 

  72. S.L. Chuang, C.S. Chang, Phys. Rev. B 54, 2491–2504 (1996)

    Article  ADS  Google Scholar 

  73. E.P. Pokatilov, V.A. Fonoberov, V.M. Fomin et al., Phys. Rev. B 64, 245328 (2001)

    Article  ADS  Google Scholar 

  74. O. Stier, D. Bimberg, Phys. Rev. B 55, 7726–7732 (1997)

    Article  ADS  Google Scholar 

  75. A.D. Andreev, E.P. O’Reilly, Phys. Rev. B 62, 15851–15870 (2000)

    Article  ADS  Google Scholar 

  76. M. Winkelnkemper, S. Schliwa, D. Bimberg, Phys. Rev. B 74, 155322 (2006)

    Article  ADS  Google Scholar 

  77. O. Marquardt, T. Hickel, J. Neugebauer, J. Appl. Phys. 106, 083707 (2009)

    Article  ADS  Google Scholar 

  78. A. Schliwa, Electronic properties of self-organized quantum dots. PhD Thesis, TU Berlin, Berlin, 2007

    Google Scholar 

  79. J. Planelles, W. Jaskólski, J.I. Aliaga, Phys. Rev. B 65, 033306 (2001)

    Article  ADS  Google Scholar 

  80. S.S. Li, J.B. Xia, J. Appl. Phys. 91, 3227–3231 (2002)

    Article  ADS  Google Scholar 

  81. B. Jia, Z. Yu, Y. Liu, Model. Simul. Mater. Sci. Eng. 17, 035009 (2009)

    Article  ADS  Google Scholar 

  82. W.P. Hong, S.H. Park, Chin. Phys. B 20, 098502 (2011)

    Article  Google Scholar 

  83. Y.P. Varshni, Physica 34, 149–154 (2002)

    Article  ADS  Google Scholar 

  84. M. Tadić, F.M. Peeters, K.L. Lanssens, J. Appl. Phys. 92, 5819–5829 (2002)

    Article  ADS  Google Scholar 

  85. T.W. Kim, E.H. Lee, K.H. Lee et al., Appl. Phys. Lett. 84, 595–597 (2004)

    Article  ADS  Google Scholar 

  86. S. Tomić, N. Vukmirović, J. Appl. Phys. 110, 053710 (2011)

    Article  ADS  Google Scholar 

  87. O. Marquardt, S. Schulz, C. Freysoldt et al., Opt. Quantum Electron. 44, 183–188 (2012)

    Article  Google Scholar 

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Acknowledgements

The author would like to thank S. Schulz, V.M. Fomin, J.I. Climente, P. Potasz, L. He, and W.P. Hong for their kind support.

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Correspondence to Oliver Marquardt .

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Marquardt, O. (2014). Theoretical Modelling of Electronic and Optical Properties of Semiconductor Quantum Rings. In: Fomin, V. (eds) Physics of Quantum Rings. NanoScience and Technology. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39197-2_14

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