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Theoretical approaches to nonlinear and chaotic dynamics of generation-recombination processes in semiconductors

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Abstract

We present an overview of recent progress in the theoretical modelling of nonlinear and chaotic dynamics induced by generation and recombination processes of charge carriers. Impact ionisation of impurities is the autocatalytic, i.e. destabilizing, step of three different physical mechanisms for spontaneous, self-sustained oscillations of the carrier density. The “restoring force” is furnished by one of the following three processes: (i) dielectric relaxation of the internal electric field, (ii) energy relaxation of the hot carriers, and (iii) trapping at impurities, where the discrete nature of the individual generationrecombination processes is taken into account.

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References

  1. E. Schöll:Nonequilibrium Phase Transitions in Semiconductors. Self-Organization Induced by Generation and Recombination Processes. Springer Ser. Syn., Vol. 35 (Springer, Berlin, Heidelberg 1987)

    Google Scholar 

  2. M. Duong-Van (ed.): Proc. Int. Conf. on the Physics of Chaos and Systems far from Equilibrium. Nucl. Phys. B (Proc. Suppl.)2 (1987) J. Shah, G.J. Iafrate (eds.): Proc. 5th Int. Conf. on Hot Carriers in Semiconductors. Solid State Electron. 31 (1988)

  3. K. Aoki, T. Kobayashi, K. Yamamoto: J. Physique Colloque C7, 51 (1981); J. Phys. Soc. Jpn.51, 2373 (1982)

    Google Scholar 

  4. G.N. Maracas, W. Porod, D.A. Johnson, D.K. Ferry, H. Goronkin: Physica134B, 276 (1985)

    Google Scholar 

  5. A. Brandi, T. Geisel, W. Prettl: Europhys. Lett.3, 401 (1987)

    Google Scholar 

  6. W. Knap, M. Jezewski, J. Lusakowski, W. Kuszko: Solid State Electron.31, 813 (1988)

    Google Scholar 

  7. S.W. Teitsworth, R.M. Westervelt, E.E. Haller: Phys. Rev. Lett.51, 825 (1983)

    Google Scholar 

  8. G.A. Held, C. Jeffries, E.E. Haller: Phys. Rev. Lett.52, 1037 (1984)

    Google Scholar 

  9. J. Peinke, A. Mühlbach, R.P. Huebener, J. Parisi: Phys. Lett.108A, 407 (1985)

    Google Scholar 

  10. S.B. Bumeliene, Yu.K. Pozhela, K.A. Pyragas, A.V. Tamaševičius: Proc. 4th Int. Conf. on Hot Electrons in Semiconductors, Innsbruck, Physica134B, 293 (1985)

    Google Scholar 

  11. D.G. Seiler, C.L. Littler, R.J. Justice, P.W. Milonni: Phys. Lett.108A, 462 (1985)

    Google Scholar 

  12. K. Yamada, N. Takara, H. Imada, N. Miura, C. Hamaguchi: Solid State Electron.31, 809 (1988)

    Google Scholar 

  13. E.G. Gwinn, R.M. Westervelt: Phys. Rev. Lett.57, 1060 (1986);59, 157 (1987)

    Google Scholar 

  14. U. Rau, J. Peinke, J. Parisi, R.P. Huebener, E. Schöll: Phys. Lett. A124, 335 (1987)

    Google Scholar 

  15. E. Schöll: InFestkörperprobleme (Advances in Solid State Physics) ed. by P. Grosse, Vol. 26 (Vieweg, Braunschweig 1986) p. 309

    Google Scholar 

  16. E. Schöll: J. Phys. Chem. Solids49, 651 (1988)

    Google Scholar 

  17. P.T. Landsberg: “Semiconductor Statistics”, inHandbook on Semiconductors, ed. by T. S. Moss, Vol. I, Chap. 8 (North-Holland, Amsterdam 1982)

    Google Scholar 

  18. W. Pickin: Solid State Electron.21, 309, 1299 (1978)

    Google Scholar 

  19. Y. Abe: Solid State Electron.31, 795 (1988)

    Google Scholar 

  20. P.T. Landsberg, A. Pimpale: J. Phys. C9, 1243 (1976)

    Google Scholar 

  21. E. Schöll: Ph. D. Thesis, University of Southampton (1978); Proc. Roy. Soc. A365, 511 (1979)

  22. E. Schöll, P.T. Landsberg: Proc. R. Soc. (London) Ser. A365, 495 (1979)

    Google Scholar 

  23. P.T. Landsberg, D.J. Robbins, E. Schöll: Phys. Status Solidi (a)50, 423 (1978)

    Google Scholar 

  24. D.J. Robbins, P.T. Landsberg, E. Schöll: Phys. Status Solidi (a)65, 353 (1981)

    Google Scholar 

  25. E. Schöll: J. Physique C7, 57 (1981); Z. Phys. B46, 23 (1982); B48, 153 (1982)

    Google Scholar 

  26. E. Schöll: Solid State Electron.29, 687 (1986)

    Google Scholar 

  27. E. Schöll, P.T. Landsberg: Z. Phys. B (to be published) (1988)

  28. E. Schöll: Z. Phys. B52, 321 (1983)

    Google Scholar 

  29. K.M. Mayer, J. Parisi, R.P. Huebener: Z. Phys. B (to be published)

  30. D. Jäger, H. Baumann, R. Symanczyk: Phys. Lett. A117, 141 (1986)

    Google Scholar 

  31. K.M. Mayer, R. Gross, J. Parisi, J. Peinke, R.P. Huebener: Solid State Commun.63, 55 (1987)

    Google Scholar 

  32. E. Schöll: Z. Phys. B62, 245 (1986); Proc. 17th Int. Conf. Physics of Semiconductors (San Francisco 1984) ed. by J.D. Chadi, W. Harrison (Springer, New York 1985) p. 1353

    Google Scholar 

  33. E. Schöll, W. Heisel, W. Prettl: Z. Phys. B47, 285 (1982)

    Google Scholar 

  34. M. Weispfenning, I. Hoeser, W. Böhm, W. Prettl, E. Schöll: Phys. Rev. Lett.55, 754 (1985)

    Google Scholar 

  35. E. Schöll: Physica134B, 271 (1985); Phys. Rev. B34, 1395 (1986)

    Google Scholar 

  36. E. Schöll: Proc. 18th Int. Conf. Phys. Semicond. (Stockholm 1986), ed. by O. Engström (World Scientific, Singapore 1987) p. 1555

    Google Scholar 

  37. H. Haken:Synergetics, An Introduction, 3rd edn. (Springer, Berlin, Heidelberg 1983)

    Google Scholar 

  38. B. Röhricht, J. Parisi, J. Peinke, R.P. Huebener: Z. Phys. B66, 515 (1987)

    Google Scholar 

  39. A. Pimpale, P.T. Landsberg, L.L. Bonilla, M.G. Velarde: J. Phys. Chem. Sol.42, 873 (1981)

    Google Scholar 

  40. K.A. Pyragas: Sov. Phys.-Semicond.17, 652 (1983) [Fiz. Tekh. Poluprov.17, 1035 (1983)]

    Google Scholar 

  41. R.M. Westervelt, S.W. Teitsworth: J. Appl. Phys.57, 5457 (1985)

    Google Scholar 

  42. V.V. Mitin: Appl. Phys. A39, 123 (1986)

    Google Scholar 

  43. S.W. Teitsworth, R.M. Westervelt: Phys. Rev. Lett.53, 2587 (1984)

    Google Scholar 

  44. H.G. Schuster:Deterministic Chaos (Physik-Verlag, Weinheim 1984)

    Google Scholar 

  45. S.W. Teitsworth, R.M. Westervelt: Phys. Rev. Lett.56, 516 (1986)

    Google Scholar 

  46. M.P. Shaw, H.L. Grubin, P. Solomon:The Gunn-Hilsum Effect (Academic, New York 1979)

    Google Scholar 

  47. M.J. Feigenbaum: J. Stat. Phys.19, 25 (1978)

    Google Scholar 

  48. Z.N. Bartashevich, Yu.K. Pozhela, K.A. Pyragas, A.V. Tamaševičius, Yu.K. Ulbikas: Acta Phys. Hung. (1987)

  49. K. Aoki, N. Mugibayashi, K. Yamamoto: Physica Scripta T14, 76 (1986); Proc. 18th Int. Conf. Phys. Semicond. (Stockholm 1986), ed. by O. Engström (World Scientific, Singapore 1987) p. 1543

    Google Scholar 

  50. V.V. Vladimirov, V.N. Gorshkov, P.M. Golovinskij: Sov. Phys.-Semicond.15, 894 (1981)

    Google Scholar 

  51. K. Blotekjaer: IEEE Trans. ED-17, 38 (1970)

    Google Scholar 

  52. G. Baccarani, M.R. Wordeman: Solid State Electron.28, 407 (1985)

    Google Scholar 

  53. E. Schöll, W. Quade: J. Phys. C20, L861 (1987)

    Google Scholar 

  54. E. Schöll: Solid State Electron.31, 539 (1988)

    Google Scholar 

  55. J.P. Nougier, J.C. Vaissiere, D. Gasquet, J. Zimmermann, E. Constant: J. Appl. Phys.52, 825 (1981)

    Google Scholar 

  56. L. Reggiani: Private communication

  57. E. Schöll, J. Parisi, B. Röhricht, J. Peinke, R.P. Huebener: Phys. Lett. A119, 419 (1987)

    Google Scholar 

  58. E. Schöll: Unpublished

  59. H. Naber, G. Hüpper: Unpublished

  60. B. Röhricht, B. Wessely, J. Parisi, J. Peinke: Appl. Phys. Lett.48, 233 (1986)

    Google Scholar 

  61. N.N. Degtyarenko, V.F. Elesin, V.A. Furmanov: Sov. Phys. Semicond.7, 1147 (1974)

    Google Scholar 

  62. V.L. Bonch-Bruevich, Le Vu Ky: Phys. Stat. Solidi (b)124, 111 (1984)

    Google Scholar 

  63. B.S. Kerner, V.V. Osipov: Sov. Phys. JETP52, 1122 (1980)

    Google Scholar 

  64. A.L. Dubitskij, B.S. Kerner, V.V. Osipov: Sov. Phys. Semicond.20, 755 (1986)

    Google Scholar 

  65. P.T. Landsberg, E. Schöll, P. Shukla: Physica D30, 235 (1988)

    Google Scholar 

  66. N.G. van Kämpen:Stochastic Processes in Physics and Chemistry (North-Holland, Amsterdam 1981)

    Google Scholar 

  67. F. Schlögl, E. Schöll: Z. Phys. B71, 231 (1988)

    Google Scholar 

  68. J. Peinke, B. Röhricht, A. Mühlbach, J. Parisi, Ch. Nöldeke, R.P. Huebener, O.E. Rössler: Z. Naturforsch.40a, 562 (1985)

    Google Scholar 

  69. E. Schöll: Proc. 19th Int. Conf. Phys. Semicond., Warsaw 1988, ed. by M. Grynberg (to be published) D. Drasdo: Unpublished

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  1. Institut für Theoretische Physik, RWTH, D-5100, Aachen, Germany

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Schöll, E. Theoretical approaches to nonlinear and chaotic dynamics of generation-recombination processes in semiconductors. Appl. Phys. A 48, 95–106 (1989). https://doi.org/10.1007/BF01141271

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