Unbound states in quantum heterostructures

  • R. Ferreira1Email author and

    Affiliated with

    • G. Bastard1, 2

      Affiliated with

      Nanoscale Research Letters20061:120

      DOI: 10.1007/s11671-006-9000-1

      Published: 27 September 2006

      Abstract

      We report in this review on the electronic continuum states of semiconductor Quantum Wells and Quantum Dots and highlight the decisive part played by the virtual bound states in the optical properties of these structures. The two particles continuum states of Quantum Dots control the decoherence of the excited electron – hole states. The part played by Auger scattering in Quantum Dots is also discussed.

      Keywords

      Virtual bound states Quantum Dots Quantum Wells Decoherence Auger effect Photodetectors

      [191]

      Declarations

      Acknowledgments

      The LPA-ENS is “Laboratoire associé au CNRS et aux Universités Pierre et Marie Curie et Denis Diderot”. One of us (GB) would like to thank Profs. H. Sakaki, Y. Arakawa and K. Hirakawa for their hospitality at the IIS-Tokyo where part of this review was written and for enlightening discussions. A number of colleagues have helped us to investigate more thoroughly the QD continuum. We acknowledge Profs. Y. Guldner, G. Strasser and K. Unterrainer, Drs. G. Cassabois, S. Hameau, N. Regnault, Ph. Roussignol and L.A. de Vaulchier for numerous insights on InAs QDs. We are much indebted to Drs. I. Favero, C. Kammerer, Ph. Lelong, A. Vasanelli, I. Magnusdottir, O. Verzelen, N. D. Phuong, R. Oulton and F. F. Schrey for their active participation to the work reported here.

      Authors’ Affiliations

      (1)
      Laboratoire Pierre Aigrain, Ecole Normale Supérieure
      (2)
      Institute of Industrial Sciences, Tokyo University

      References

      1. Bimberg D, Grundmann M, Ledentsov NN: Quantum Dot Heterostructures. John Wiley and Sons, New York; 1999.
      2. O. Stier, M. Grundmann, D. Bimberg. Phys. Rev. B59, 5688 (1999). See also: O. Stier. Electron ic and optical properties of quantum dots and wires (Berlin Studies in Solid State Physics, Verlag Wissenshaft und Technik, Berlin 2001) and references cited thereinView Article
      3. A.J. Williamson, A. Zunger. Phys. Rev. B59, 15819 (1999); B61, 1978 (2000)View Article
      4. A. Zunger. Phys. Stat. Solidi A190, 467 (2002) and references cited thereinView Article
      5. Lee S, Jönsson L, Wilkins JW, Bryant GW, Klimeck G: Phys. Rev.. 2001, B63: 195318.View Article
      6. Cohen-Tannoudji C, Diu B, Laloe F: Quantum Mechanics. John Wiley and Sons, New York; 1977.
      7. Schiff LI: Quantum Mechanics. Mc Graw-Hill, Singapore; 1968.
      8. Bohm D: Quantum Theory. Prentice–Hall, Englewood Cliffs, N. J., USA; 1951.
      9. C. Beenacker and van Houten. Solid State Phys.44, 1 (1991) and references cited therein
      10. Jackson JD: Classical Electrodynamics. John Wiley and Sons, New York; 1975.
      11. Brum JA, Bastard G: Phys. Rev. 1986, B33: 1420.View Article
      12. Bastard G: Phys. Rev.. 1984, B30: 3547.View Article
      13. J. Shah (ed.), Hot Carriers in Semiconductor Nanostructures: Physics and Applications (Academic Press, London, 1992)
      14. Yu PY, Cardona M: Fundamentals of Semiconductors: Physics and materials properties. Springer-Verlag, Berlin; 1999.View Article
      15. B.K. Ridley, Quantum Processes in Semiconductors (Clarendon Press Oxford, 1988)
      16. Babiker M, Ridley BK: Superlatt. Microstruct.. 1986, 2: 287. COI number [1:CAS:528:DyaL2sXkvVOkt70%3D] 10.1016/0749-6036(86)90034-0View Article
      17. Morris D, Deveaud B, Regreny A, Auvray P: Phys. Rev.. 1993, B47: 6819.View Article
      18. Sotirelis P, Hess K: Phys. Rev.. 1994, B49: 7543.View Article
      19. Fricke M, Lorke A, Kotthaus JP, Madeiros-Ribeiro R, Petroff PM: Europhys. Lett.. 1996, 36: 197. COI number [1:CAS:528:DyaK28XmslGjsLg%3D] 10.1209/epl/i1996-00210-xView Article
      20. Lelong Ph, Bastard G: Solid State Commun.. 1996, 98: 819. COI number [1:CAS:528:DyaK28XlsFaqsrg%3D] 10.1016/0038-1098(96)00024-5View Article
      21. D. P Phuong, PhD thesis, Paris 6 University (2005)
      22. A. Vasanelli, PhD thesis, Paris 6 University (2002)
      23. Buczko R, Bassani F: Phys. Rev.. 1996, B54: 2667.View Article
      24. Magnusdottir I: Modeling of Phonon- and Coulomb-Mediated Capture Processes in Quantum Dots. COM Technical University of Denmark, Lingby, Denmark; 2003.
      25. Magnusdottir I, Uskov AV, Bischoff S, Tromborg B: J. Mork, J. Appl. Phys.. 2002, 92: 5982. COI number [1:CAS:528:DC%2BD38XosVeitbk%3D] 10.1063/1.1512694View Article
      26. Ferreira R, Bastard G: Appl. Phys. Lett.. 1999, 74: 2818. COI number [1:CAS:528:DyaK1MXivV2nur8%3D] 10.1063/1.124024View Article
      27. Gündogdu K, Hall KC, Boggess TF, Deppe GD, Shchekin OB: Appl. Phys. Lett.. 2004, 85: 4570. 10.1063/1.1815371View Article
      28. Trumm S, Besseli W, Krenner HJ, Schuh D, Bichler M, Finley JJ, Betz M: Appl. Phys. Lett.. 2005, 87: 153113. 10.1063/1.2103399View Article
      29. Verzelen O, Hameau S, Guldner Y, Gérard JM, Ferreira R, Bastard G: Jpn J. Appl. Phys.. 2001, 40: 1941. COI number [1:CAS:528:DC%2BD3MXjtVahs7s%3D] 10.1143/JJAP.40.1941View Article
      30. Hameau S, Guldner Y, Verzelen O, Ferreira R, Bastard G, Zeman J, Lemaitre A, Gérard JM: Phys. Rev. Lett.. 1999, 83: 4152. COI number [1:CAS:528:DyaK1MXnsVejtL8%3D] 10.1103/PhysRevLett.83.4152View Article
      31. Magnusdottir I, Uskov AV, Ferreira R, Bastard G, Mork J, Tromborg B: Appl. Phys. Lett.. 2002, 18: 4318. 10.1063/1.1526911View Article
      32. Glanemann M, Axt VM, Kuhn T: Phys. Rev.. 2005, B72: 045354.View Article
      33. Chu L, Zrenner A, Böhm G, Abstreiter G: Appl. Phys. Lett.. 1999, 75: 3599. COI number [1:CAS:528:DyaK1MXnsFyrsLY%3D] 10.1063/1.125400View Article
      34. N. Horiguchi, T. Futatsugi, Y. Nakata, N. Yokoyama, T. Mankad, P.M. Petroff: Jpn. J. Appl. Phys. Part I. 1999, 38: 2559. 10.1143/JJAP.38.2559View Article
      35. Liu HC, Gao M, McCaffrey J, Wasilewski ZR, Faffard S: Appl. Phys. Lett.. 2001, 78: 79. COI number [1:CAS:528:DC%2BD3MXmvVel] 10.1063/1.1337649View Article
      36. Tang SF, Lin SY, Lee SC: Appl. Phys. Lett.. 2001, 78: 2428. COI number [1:CAS:528:DC%2BD3MXislKlurg%3D] 10.1063/1.1362201View Article
      37. Rebohle L, Schrey F, Hofer S, Strasser G, Unterrainer K: Appl. Phys. Lett.. 2002, 81: 2079. COI number [1:CAS:528:DC%2BD38XmvVShtbY%3D] 10.1063/1.1506419View Article
      38. Maimon S, Finkman E, Bahir G, Schacham SE, Garcia JM, Petroff PM: Appl. Phys. Lett.. 1998, 73: 2003. COI number [1:CAS:528:DyaK1cXmtFKhtLs%3D] 10.1063/1.122349View Article
      39. Sauvage S, Boucaud P, Brunhes T, Immer V, Finkman E, Gérard JM: Appl. Phys. Lett.. 2001, 78: 2327. COI number [1:CAS:528:DC%2BD3MXislKlt7g%3D] 10.1063/1.1365411View Article
      40. Ye Z, Campbell JC, Chen Z, Kim ET, Madhukar A: J. Appl. Phys.. 2002, 92: 7462. COI number [1:CAS:528:DC%2BD38XptFGgsb0%3D] 10.1063/1.1517750View Article
      41. Chu L, Arzberger M, Böhm G, Abstreiter G: J. Appl. Phys.. 1999, 85: 2355. COI number [1:CAS:528:DyaK1MXmvFGjtw%3D%3D] 10.1063/1.369549View Article
      42. Kim JS, Yu PW, Leem JY, Jeon M, Noh SK, Lee JI, Kim GH, Kang SK, Kim JS, Kim SG: J. Appl. Phys.. 2002, 91: 5055. COI number [1:CAS:528:DC%2BD38XisVCjsrk%3D] 10.1063/1.1464230View Article
      43. Berryman KW, Lyon SA, Segev M: Appl. Phys. Lett.. 1997, 70: 1861. COI number [1:CAS:528:DyaK2sXisFKhtrs%3D] 10.1063/1.118714View Article
      44. Maximov MV, Tsatsul’nokov AF, Volovik BV, Bedarev DA, Egorov AY, Zhukov AE, Kovsh AR, Bert NA, Ustinov VM, Kop’ev PS, Alferov ZI, Ledentsov NN, Bimberg D, Soshnikov IP, Werner P: Appl. Phys. Lett.. 1999, 75: 2347. COI number [1:CAS:528:DyaK1MXmsVens7k%3D] 10.1063/1.125010View Article
      45. Phillips J, Kamath K, Bhattacharya P: Appl. Phys. Lett.. 1998, 72: 2020. COI number [1:CAS:528:DyaK1cXisValtb4%3D] 10.1063/1.121252View Article
      46. Aslan B, Liu HC, Korkusinski M, Cheng SJ, Hawrylak P: Appl. Phys. Lett.. 2003, 82: 630. COI number [1:CAS:528:DC%2BD3sXmsVWitA%3D%3D] 10.1063/1.1540728View Article
      47. Finkman E, Maimon S, Immer V, Bahir G, Schacham SE, Fossard F, Julien FH, Brault J, Gendry M: Phys. Rev. B. 2001, 63: 045323. 10.1103/PhysRevB.63.045323View Article
      48. Kim ET, Madhukar A, Ye Z, Campbell JC: Appl. Phys. Lett.. 1999, 74: 3277.
      49. Lee SW, Hirakawa K, Shimada Y: Appl. Phys. Lett.. 1999, 75: 1428. COI number [1:CAS:528:DyaK1MXlsV2lsbs%3D] 10.1063/1.124715View Article
      50. Lelong Ph, Lee SW, Hirakawa K, Sakaki H: Physica E. 2000, 7: 174. COI number [1:CAS:528:DC%2BD3cXisFKgt78%3D] 10.1016/S1386-9477(99)00315-XView Article
      51. Levine BF: J. Appl. Phys.. 1993, 74: R1. COI number [1:CAS:528:DyaK2cXhslOrsw%3D%3D] 10.1063/1.354252View Article
      52. Schrey FF, Rebohle L, Müller T, Strasser G, Unterrainer K, N’guyen DP, Regnault N, Ferreira R, Bastard G: Phys. Rev. B. 2005, 72: 155310. 10.1103/PhysRevB.72.155310View Article
      53. N’guyen DP, Regnault N, Ferreira R, Bastard G: Phys. Rev. B. 2005, 71: 245329. 10.1103/PhysRevB.71.245329View Article
      54. (D. Bouwmeester, A. Ekert, A. Zeilinger (eds). The Physics of Quantum Information (Springer Verlag, Berlin 2000)
      55. F. Rossi (ed.), Semiconductor Macroatoms: Basic Physics and Quantum-device Applications (Imperial College Press, London, 2005)
      56. Uskov AV, MCInerney J, Adler F, Schweizer H: Appl. Phys. Lett.. 1998, 72: 58. COI number [1:CAS:528:DyaK1cXhvFGmuw%3D%3D] 10.1063/1.120643View Article
      57. Magnusdottir I, Uskov AV, Bischoff S, Mork J: Phys. Rev.. 2003, B67: 205326.View Article
      58. Bockelmann U, Egeler T: Phys. Rev.. 1992, B46: 15574.View Article
      59. Efros AL, Kharchenko VA, Rosen M: Solid State Commun.. 1995, B93: 281.View Article
      60. Bockelmann U, Bastard G: Phys. Rev.. 1990, B42: 8947.View Article
      61. Toda Y, Mariwaki O, Nishioka M, Arakawa Y: Phys. Rev. Lett.. 1999, 82: 4114. COI number [1:CAS:528:DyaK1MXjtF2gu7k%3D] 10.1103/PhysRevLett.82.4114View Article
      62. Htoon H, Kulik D, Baklenov O, Holmes AL, Takagahara T, Shih CK: Phys. Rev.. 2001, B63: 241303.View Article
      63. C. Kammerer, G. Cassabois, C. Voisin, C. Delalande, Ph. Roussignol, A. Lemaitre, J.M. Gérard, Phys. Rev. B65, 33313 (2001).View Article
      64. Oulton R, Finley JJ, Tartakowski AI, Mowbray DJ, Skolnick MS, Hopkinson M, Vasanelli A, Ferreira R, Bastard G: Phys. Rev.. 2003, B68: 235301.View Article
      65. Bogaart EW, Haverkort JEM, Mano T, van Lippen T, Nötzel R, Wolter JH: Phys. Rev.. 2005, B72: 195301.View Article
      66. Benisty H, Sottomayor-Torres CM, Weisbuch C: Phys. Rev.. 1991, B44: 10945.View Article
      67. Vasanelli A, Ferreira R, Bastard G: Phys. Rev. Lett.. 2002, 89: 216804. COI number [1:STN:280:DC%2BD38notlChsQ%3D%3D] 10.1103/PhysRevLett.89.216804View Article
      68. Verzelen O, Ferreira R, Bastard G: Phys. Rev. Lett.. 2002, 88: 146803. COI number [1:STN:280:DC%2BD383hvV2gsA%3D%3D] 10.1103/PhysRevLett.88.146803View Article
      69. Fomin VM, Gladilin VN, Devreese JT, Pokatilov EP, Balaban SN, Klimin SN: Phys. Rev. B. 1998, 57: 2415. COI number [1:CAS:528:DyaK1cXlsVGhtg%3D%3D] 10.1103/PhysRevB.57.2415View Article
      70. Besombes L, Kheng K, Marsal L, Mariette H: Phys. Rev.. 2001, B63: 155307.View Article
      71. Vagov A, Axt VM, Kuhn T: Phys. Rev.. 2002, B66: 165312.View Article
      72. Wetzler R, Wacker A, Schöll E: J. Appl. Phys.. 2004, 95: 7966. COI number [1:CAS:528:DC%2BD2cXks1ejur8%3D] 10.1063/1.1739284View Article
      73. Nielsen TR, Gartner P, Jahnke F: Phys. Rev.. 2004, B69: 235314.View Article
      74. Nilsson HH, Zhang J-Z, Galbraith I: Phys. Rev.. 2005, B72: 205331.View Article
      75. D. Chaney, M. Roy and P. A. Maksym, in Quantum Dots: Fundamentals, Applications, and Frontiers, ed. by B. Joyce (Springer Verlag Berlin 2005)
      76. Adler F, Geiger M, Bauknecht A, Scholz F, Schweizer H, Pilkhun MH, Ohnesorge B, Forchel A: J. Appl. Phys.. 1996, 80: 4019. COI number [1:CAS:528:DyaK28XmtVKkt7w%3D] 10.1063/1.363361View Article
      77. Ohnesorge B, Albrecht M, Oshinowo J, Forchel A, Arakawa Y: Phys. Rev.. 1996, B54: 11532.View Article
      78. Grosse S, Sandmann JHH, von Plessen G, Feldmann J, Lipsanen H, Sopanen M, Tulkki J: J. Ahopelto. Phys. Rev.. 1997, B55: 4473. 10.1103/PhysRevB.55.4473View Article
      79. Marcinkevicius S, Leon R: Phys. Rev.. 1999, B59: 4630.View Article
      80. Sandmann JHH, Grosse S, von Plessen G, Feldmann J, Hayes G, Phillips R, Lipsanen H, Sopanen M, Aholpeto A: Phys. Stat. Sol.. 1997, A164: 421. 10.1002/1521-396X(199711)164:1<421::AID-PSSA421>3.0.CO;2-CView Article
      81. Morris D, Perret N, Faffard S: Appl. Phys. Lett.. 1999, 75: 3593. COI number [1:CAS:528:DyaK1MXnsFyrsLg%3D] 10.1063/1.125398View Article
      82. Raymond S, Hinzer K, Fafard S, Merz JL: Phys. Rev.. 2000, B61: 16331.View Article
      83. Delerue C, Lannoo M: Nanostructures Theory and Modelling. Nanoscience and Technology, Springer-Verlag Berlin; 2004.View Article
      84. I.P. Marko, A.D. Andreev, A.R. Adams, R. Krebs, J.P. Reithmaier, A. Forchel, Elect. Lett. 39, No. 1 (2003)View Article
      85. Warburton RJ, Urbaszek B, McGhee EJ, Schulhauser C, Hogele A, Karrai K, Govorov AO, Garcia JM, Gerardot BD, Petroff PM: Nature (London). 2004, 427: 135. 10.1038/nature02109View Article
      86. Urbaszek B, McGhee EJ, Krüger M, Warburton RJ, Karrai K, Amand T, Gerardot BD, Petroff PM, Garcia JM: Phys. Rev.. 2004, B69: 035304.View Article
      87. Bödefeld MC, Warburton RJ, Karrai K, Kotthaus JP, Madeiros-Ribeiro G, Petrofff PM: Appl. Phys. Lett.. 1999, 74: 1839. 10.1063/1.123686View Article
      88. Wojs A, Hawrilack P: Phys. Rev.. 1997, B55: 13066.View Article
      89. Govorov AO, Warburton RJ, Karrai K: Phys. Rev.. 2003, B67: 241307.View Article
      90. Helmes RW, Sindel M, Borda L, Van Delft J: Phys. Rev.. 2005, B72: 125301.View Article
      91. Smith JM, Dalgarno PA, Warburton RJ, Govorov AO, Karrai K, Gerardot BD, Petroff PM: Phys. Rev. Lett. 2005, 94: 197402. COI number [1:STN:280:DC%2BD2MvisFaksA%3D%3D] 10.1103/PhysRevLett.94.197402View Article

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