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Nonlinear and Chaotic Charge Transport in Semi-Insulating Semiconductors

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Nonlinear Dynamics and Pattern Formation in Semiconductors and Devices

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 79))

Abstract

Recent experimental results on spontaneous periodic and chaotic low frequency current oscillations in semi-insulating crystalline semiconductors are reviewed. Period-doubling bifurcations and intermittent chaotic behavior were observed, depending on the value of the applied voltage. The dependencies of the fundamental frequency of low frequency current oscillations on the applied voltage were found to be sharply nonmonotonical in the samples of GaAs with controlled and different EL2 defect concentrations. Temperature dependencies of frequency modes (f) on an Arrhenius plot of log(T2/2f) vs. 1/T were found to give information on deep levels in InP.

The experimental results of nonlinear charge transport and low frequency current oscillations in spatially chaotic polycrystalline and nanostructured fractal-like porous Si are also presented. The dependencies of the fundamental frequency on the applied voltage were found to be monotonically increasing in these materials. The transition to chaotic behavior through quasi-periodic route was observed in polycrystalline Si. Semi-insulating polycrystalline Si and porous Si are likely to present a new class of materials for experimental investigations of phenomena concerning nonlinear dynamics.

A model of low frequency current oscillations in semi-insulating crystalline semiconductors with deep levels has been developed. A combination of the approaches of field-enhanced trapping, field-enhanced emission and negative differential mobility of carriers was used. A linear analysis of the model was done. The dispersion relations of the model were found to describe qualitatively the experimentally measured dependencies of the activation energies and of the fundamental frequency on the electric field and the temperature.

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References

  1. Y. Abe (ed.): Appl. Phys. A 48, 93 (1989)

    Google Scholar 

  2. R.P. Huebener, J. Peinke, J. Parisi: Appl. Phys. A 48, 107 (1989)

    Article  Google Scholar 

  3. E. Schóll: Nonequilibrium Phase Transitions in Semiconductors ( Springer-Verlag, Berlin 1987 )

    Book  Google Scholar 

  4. J. Peinke, J. Parisi, O.E. Rössler, R. Stoop: Encounter with Chaos ( Springer-Verlag, Berlin 1992 )

    Book  Google Scholar 

  5. E. Schöll: In Handbook on Semiconductors, Vol. 1, 2nd ed., ed. by P.T. Landsberg (Elsevier, Amsterdem 1992 ) pp. 419–447

    Google Scholar 

  6. M.P. Shaw, V.V. Mitin, E. Schöll, H.L. Grubin: The Physics of Instabilities in Solid State Electron Devices ( Plenum Press, New York 1992 )

    Google Scholar 

  7. E. Schöll: Physica Scripta T29, 152 (1989)

    Article  Google Scholar 

  8. E. Schöll: Appl. Phys. A 48, 95 (1989)

    Article  Google Scholar 

  9. E. Schöll: J. Phys. Chem. Solids 49, 651 (1989)

    Article  Google Scholar 

  10. H.K. Sacks, A.G. Milnes: Int. J. Elect. 28, 565 (1970)

    Article  CAS  Google Scholar 

  11. K. Pyragas, Yu. Pozhela, A. Tamashyavchyus, Yu. Ul’bikas: Soy. Phys. Semicond. 21, 335 (1987)

    Google Scholar 

  12. D.A. Johnson, R.A. Puechner, G.N. Maracas: J. Appl. Phys. 67, 300 (1990)

    Article  CAS  Google Scholar 

  13. S.P. McAlister, Z.-M. Li, D.J. Day: Canadian J. Phys. 69, 207 (1991)

    Article  Google Scholar 

  14. H. Goronkin, G.N. Maracas: In Proc. IEDM Conf. (1984) pp. 182–185.

    Google Scholar 

  15. G.N. Maracas, D.A. Johnson, H. Goronkin: Appl. Phys. Lett. 46, 305 (1985)

    Article  CAS  Google Scholar 

  16. D.J. Miller, M. Bujatti: IEEE Trans. ED-34, 1239 (1987)

    Google Scholar 

  17. G.N. Maracas, D.A. Johnson, R.A. Puechner, J.L. Edwards, S. Myhailenko, H. Goronkin, R. Tsui: Solid State Electr. 32, 1887 (1989)

    Article  CAS  Google Scholar 

  18. D.J. Day, M. Trudeau, S.P. McAlister, C.M. Hurd: Appl. Phys. Lett. 52, 2034 (1988)

    Article  Google Scholar 

  19. W. Knap, M. Jesewski, J. Lusakovski, W. Kuszko: Solid State Electr. 31, 813 (1988)

    Article  CAS  Google Scholar 

  20. K.Karpierz, J. Lusakowski, W. Knap: Acta Physica Polonica A75, 207 (1989)

    Google Scholar 

  21. C. Backhouse, V.A. Samuilov, L. Young: Appl. Phys. Lett. 60, 2906 (1992)

    Article  CAS  Google Scholar 

  22. C. Backhouse, L. Young: Solid State Electr. 35, 1601 (1992)

    Article  CAS  Google Scholar 

  23. W. Walukiewicz, J. Lagowski, H.C. Gatos: Appl. Phys. Lett. 43, 192 (1983)

    Article  CAS  Google Scholar 

  24. S. Maimon, S.E. Schacham: J. Appl. Phys. 75, 2035 (1994)

    Article  CAS  Google Scholar 

  25. D. Richter, A.J. Dianoux, W. Petry, J. Teixeira (eds.): Dynamics of Disordered Materials ( Springer-Verlag, Berlin 1989 )

    Google Scholar 

  26. R. Schilling: In Nonlinear Dynamics in Solids, ed. by H. Thomas (Springer-Verlag, Berlin 1992)

    Google Scholar 

  27. Chao Chen, V.A. Samuilov, T.M. Veselova: In Proc. 8th Conf. on SemiInsulating III-V Materials (Warsaw, Poland, June 6–10, 1994 ) in print

    Google Scholar 

  28. Chao Chen, V.A. Samuilov, T.M. Veselova: In Proc. of the Third annual Seminar on Nonlinear Phenomena in Complex Systems, ed. by G. Krylov, V. Kuvshinov (Polatsk, Belarus, February 14–16, 1994 ) in print

    Google Scholar 

  29. V.A. Samuilov, V.A. Dorosinetz, N.A. Poklonski, V.F. Stelmakh: In Proc. of the First Intl Conf. on Electronic Materials. New Materials and New Physical Phenomena for Electronics of the 21st Century (MRS, Pittsburg, Pensilvania 1989 ) pp. 233–236

    Google Scholar 

  30. V.A. Dorosinets, N.A. Poklonskii, V.A. Samuilov, V.F. Stelmakh: Sov. Phys. Semicond. 22, 476 (1988)

    Google Scholar 

  31. V.A. Samuilov, E.A. Bondarionok, V.P. Bondarenko, A.M. Dorofeev, G.M. Troyanova: In Proc. of the Third annual Seminar on Nonlinear Phenomena in Complex Systems, ed. by G. Krylov, V. Kuvshinov (Polatsk, Belarus, February 14–16, 1994 ) in print

    Google Scholar 

  32. V.A. Samuilov, T.M. Veselova: In Proc. of the second annual Seminar on Nonlinear Phenomena in Complex Systems ( Polatsk, Belarus, February 1517, 1993 ) in print

    Google Scholar 

  33. V.A. Samuilov, T.M. Veselova: In Proc. 8th Conf. on Semi-Insulating III-V Materials (Warsaw, Poland, June 6–10, 1994 ) in print

    Google Scholar 

  34. V.A. Samuilov, E.A. Bondarionok, D. Shulman, D.L. Pulfrey: IEEE Electron Device Letters 13, 396 (1992)

    Article  CAS  Google Scholar 

  35. V.A. Samuilov, E.A. Bondarionok, N.A. Poklonski: In Proc. of the second annual Seminar on Nonlinear Phenomena in Complex Systems (Polatsk, Belarus, February 15–17, 1993 ) in print

    Google Scholar 

  36. D.L. Pulfrey, D. Shulman, V.A. Samuilov, E. Bondarionok, V. Krasnitski, N. Poklonski, V. Stelmakh: Inverted Heterojunction Bipolar Device Having Undoped Amorphous Silicon Layer (US Patent No. 5,285,083, issued February 8, 1994 )

    Google Scholar 

  37. A.A. Reeder, I.P. Thomas, C. Smith, J. Wittgreffe, D.J. Godfrey, J. Hajto, A.E. Owen, A.J. Snell, A.F. Murray, M.J. Rose, I.S. Osborne, P.G. LeComber: In Proceedings of MRS’92 Spring Meeting (MRS, San Francisco 1992)

    Google Scholar 

  38. G.M. Martin, J.P. Farges, G. Jacob, J.P. Hallais, G. Poiblaud: J. Appl. Phys. 51, 2840 (1980)

    Article  CAS  Google Scholar 

  39. G. Muller, D. Hoffmann, P. Kipfer, F. Mosel: In Proc. 2nd Intl Conf. on Indium Phosphide and Related Materials ( Denver, Colorado 1990 ) pp. 21–24

    Google Scholar 

  40. Chao Chen, V.A. Bykovski, M.I. Tarasik: Sov. Phys. Semicond. 28, 35 (1994)

    Google Scholar 

  41. L.L. Kazmerski (ed.): Polycrystalline and Amorphous Thin Films and Devices ( Academic Press, New York 1980 )

    Google Scholar 

  42. D.J. Bartelink: In Proc. Materials Research Society Annual Meeting on Grain Boundaries in Semiconductors, ed. by H.J. Leamy, G.E. Pike, C.H. Seager (North Holland, New York 1982) pp. 249–260

    Google Scholar 

  43. M. Peisl, A.W. Wieder: IEEE Trans. ED-30, 1792 (1983)

    Google Scholar 

  44. J.Y.W. Seto: J. Appl. Phys. 46, 5247 (1975)

    Article  CAS  Google Scholar 

  45. N.C.-C. Lu, L. Gerzberg, C.Y. Lu, J.D. Meindl: IEEE Trans. ED-30, 137 (1983)

    Google Scholar 

  46. L.T. Canham: Appl. Phys. Lett. 57, 1046 (1990)

    Article  CAS  Google Scholar 

  47. R.L. Smith, S.D. Coffins: J. Appl. Phys 71, R1 (1992)

    Article  CAS  Google Scholar 

  48. P.C. Searson, J.M. Macaulay: Nanotechnology 3, 188 (1992)

    Article  Google Scholar 

  49. A.G. Cullis, L.T. Canham: Nature 353, 335 (1991)

    Article  CAS  Google Scholar 

  50. J.C. Vial, S. Billat, A. Bsiesy, G. Fishman, F. Gaspard, R. Herino, M. Ligeon, F. Madeore, I. Mihalcescu, F. Muller, R. Romestain: Physica B 185, 583 (1993)

    Article  Google Scholar 

  51. A. Richter, P. Steiner, F. Kozlowski, W. Lang: IEEE Electron Device Letters 12, 691 (1991)

    Article  CAS  Google Scholar 

  52. F. Namavar, H.P. Maruska, N.M. Kalkhoran: Appl. Phys. Lett. 60, 2514 (1992)

    Article  CAS  Google Scholar 

  53. Z. Chen, G. Bosman, R. Ochoa: Appl. Phys. Lett. 62, 708 (1993)

    Article  CAS  Google Scholar 

  54. P. Steiner, F. Kozlowski, W. Lang: IEEE Electron Device Letters 14, 317 (1994)

    Article  Google Scholar 

  55. J. Wang, F.-L. Zhang, W.-C. Wang, J.-B. Zheng, X.-Y. Hou, X. Wang: J. Appl. Phys. 75, 1070 (1994)

    Article  CAS  Google Scholar 

  56. H.P. Maruska, F. Namavar, N.M. Kalkhoran: Appl. Phys. Lett. 61, 1338 (1992)

    Article  CAS  Google Scholar 

  57. H.P. Maruska, F. Namavar, N.M. Kalkhoran: Appl. Phys. Lett. 63, 45 (1993)

    Article  CAS  Google Scholar 

  58. C. Cadet, D. Deresmes, D. Vuillaume, D. Stievenard: Appl. Phys. Lett. 64, 2827 (1994)

    Article  CAS  Google Scholar 

  59. X. Chen, B. Henderson, K.P. O’Donnel: Appl. Phys. Lett. 60, 2672 (1992)

    Article  CAS  Google Scholar 

  60. X. Chen, D. Uttamchandani, D. Sander, K.P. O’Donnel: Physica B 183, 603 (1993)

    Article  Google Scholar 

  61. C.C. Yen, K.Y.J. Hsu, L.K. Samanta, P.C. Chen, H.L. Hwang: Appl. Phys. Lett. 62, 1617 (1993)

    Article  Google Scholar 

  62. ] B. Willing, J.C. Maan: Phys. Rev. Lett., to be published

    Google Scholar 

  63. G.N. Maracas, W. Porod, D.A. Johnson, D.K. Ferry, H. Goronkin: Physica B 134, 276 (1985)

    Article  CAS  Google Scholar 

  64. F.-J. Niedernostheide, B.S. Kerner, H.-G. Purwins: Phys. Rev. B 46, 7559 (1992)

    Article  Google Scholar 

  65. U. Rau, J. Peinke, J. Parisi, K. Karpierz, J. Lusakovski, W. Knap: Phys. Lett. A 152, 356 (1991)

    Article  CAS  Google Scholar 

  66. W. Pres, B. Flannery, S. Teukovsky, W. Vetterling: Numerical Recipies in C - The Art of Scientific Computing (Univ. Press, Cambridge 1988 )

    Google Scholar 

  67. D.J. Day, M. Trudeau, S.P. McAlister, C.M. Hurd: Appl. Phys. Lett. 52, 2034 (1988)

    Article  Google Scholar 

  68. T. Takanohashi, K. Nakai, K. Nakagima: Japan. J. Appl. Phys. 27, L113 (1988)

    Article  CAS  Google Scholar 

  69. D.L. Look: Solid State Commun. 33, 237 (1980)

    Article  CAS  Google Scholar 

  70. L.D. Landau: Akad. Nauk Doklady 44, 339 (1944)

    Google Scholar 

  71. D. Ruelle, F. Takens: Commum. Math. Phys. 20, 167 (1971); 23, 344 (1971)

    Google Scholar 

  72. P. Grassberger, I. Procaccia: Phys. Rev. Lett. 50, 346 (1983)

    Article  Google Scholar 

  73. S. Bumeliene, K. Pyragas, A. Cenys: Soy. Phys. Semicond. 24, 1509 (1990)

    CAS  Google Scholar 

  74. A. Cenys, K. Pyragas: Phys. Lett. A 129, 227 (1988)

    Article  Google Scholar 

  75. N.G. Zhdanova, M.S. Kagan: Sov. Phys. Semicond. 15, 99 (1981)

    Google Scholar 

  76. N.G. Zhdanova, M.S. Kagan, S.G. Kalashnikov: Soy. Phys. Semicond. 17, 1182 (1983)

    Google Scholar 

  77. N.C.-C. Lu, L. Gerzberg, C.Y. Lu, J.D. Meindl: IEEE Trans. ED-28, 818 (1981)

    Google Scholar 

  78. A.J. Madenach, J. Werner, F.J. Stutzler: In Proc. 18th IEEE Photovoltaic Specialists Conf. (Las Vegas, Nevada, October 21–25, 1985 ) pp. 1088–1093

    Google Scholar 

  79. P.T. Landsberg, M.S. Abrahams: J. Appl. Phys. 55, 4284 (1984)

    Article  CAS  Google Scholar 

  80. E. Schöll: J. Appl. Phys. 60, 1434 (1986)

    Article  Google Scholar 

  81. S. Newhouse, D. Ruelle, F. Takens: Commun. Math. Phys. 64, 35 (1978)

    Article  Google Scholar 

  82. V.L. Bonch-Bruevich: Dokl. AN SSSR 278, 335 (1984)

    Google Scholar 

  83. R.D. Peters: Phys. Lett. A 174, 216 (1993)

    Article  Google Scholar 

  84. H.C. de Graaf, M.T.M. Huybers: J. Appl. Phys. 54, 2504 (1983)

    Article  Google Scholar 

  85. N.S. Minaev, N.A. Poklonski, V.F. Stelmakh, V.D. Tkatchev: Sov. Phys. Semicond. 8, 1076 (1974)

    CAS  Google Scholar 

  86. H. Haken: Synergetics. An Introduction ( Springer, Berlin 1978 )

    Google Scholar 

  87. A. Cenis, G. Lasiene, K. Pyragas: Solid State Electr. 35, 975 (1992)

    Article  Google Scholar 

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  1. Physics Department, Belarus State University, F. Skaryna avenue 4, 220080, Minsk, Republic Belarus

    V. A. Samuilov

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  1. Institut für Angewandte Physik, Corrensstraße 2/4, D-48149, Münster, Germany

    Franz-Josef Niedernostheide

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Samuilov, V.A. (1995). Nonlinear and Chaotic Charge Transport in Semi-Insulating Semiconductors. In: Niedernostheide, FJ. (eds) Nonlinear Dynamics and Pattern Formation in Semiconductors and Devices. Springer Proceedings in Physics, vol 79. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-79506-0_10

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  • DOI: https://doi.org/10.1007/978-3-642-79506-0_10

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