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Far Infrared Optical and Magneto-Optical Studies of Si Space Charge Layers

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Theoretical Aspects and New Developments in Magneto-Optics

Part of the book series: Nato Advanced Study Institutes Series ((NSSB,volume 60))

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Abstract

The pioneering work on Si space charge layers was carried out more than a decade ago by workers at IBM.1, 2 The experimental vehicle for these studies was the Metal-Oxide-Semiconductor-Field-Effect-Transistor (MOSFET) which plays such a dominant role in current electronics technology. Experimental,1, 3 transport and magneto-transport, and theoretical4 investigations were made at this time. These low temperature studies demonstrated the two-dimensional (2D) nature of carrier motion in the plane of the interface, and it was felt that a reasonable understanding of the electronic properties of this system, based on a self-consistent Hartree model was in hand. As a result relatively few additional studies were carried out for several years after 1968.

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References

  1. A.B. Fowler, F.F. Fang, W.E. Howard and P.J. Stiles, J. Phys. Soc. Japan Suppl. 21., 331 (1966); Phys. Rev. Lett. 16, 901 (1966).

    Google Scholar 

  2. F. Stern and W.E. Howard, Phys. Rev. 163, 816 (1967).

    Article  ADS  Google Scholar 

  3. F.F. Fang and P.J. Stiles, Phys. Rev. 174, 823 (1968).

    Article  ADS  Google Scholar 

  4. F. Stern, Phys. Rev. B5, 4891 (1972) and references therein.

    ADS  Google Scholar 

  5. R.G. Wheeler and R.W. Ralston, Phys. Rev. Letters 27, 925 (1971).

    Article  ADS  Google Scholar 

  6. A. Kamgar, P. Kneschaurek, G. Dorda, and J.F. Koch, Phys. Rev. Lett. 32, 1251 (1974).

    Article  ADS  Google Scholar 

  7. S.J. Allen, D.C. Tsui, and J.V. Dalton, Phys. Rev. Lett. 32, 107 (1974)

    Article  ADS  Google Scholar 

  8. G. Abstreiter, P. Kneschaurek, J.P. Kotthaus, and J.F. Koch, Phys. Rev. Lett. 32, 104 (1974).

    Article  ADS  Google Scholar 

  9. T.A. Kennedy, R.J. Wagner, B.D. McCombe and D.C. Tsui, Phys. Rev. Lett. 35, 1031 (1975).

    Article  ADS  Google Scholar 

  10. See e. g. C.C. Grimes, Surface Science 73, 379 (1978).

    Article  ADS  Google Scholar 

  11. See e. g. G.A. Sai Halasz, Proc, of the XIVth Int’l Conf. on the Physics of Semiconductors (Edinburgh), Inst. of Phys. Conf. Ser. 43, 21 (1979)

    Google Scholar 

  12. R. Dingle, Proc, of the XIIIth Int’l Conf. on the Physics of Semiconductors (Rome) ed. F.G. Fumi (Tipografia Marves, Rome, 1976), p. 965 and references therein.

    Google Scholar 

  13. H.L. Stürmer, R. Dingle, A.C. Gossard, W. Wiegmann, and M.D. Sturge, Proc. of the 6th Int’l Conf. on the Physics of Compound Semiconductor Interfaces, J. Vac. Sci. Tech., to be published; D.C. Tsui, R.A. Logan, to be published.

    Google Scholar 

  14. J.C. Hensel, H. Hasegawa, and M. Nakayama, Phys. Rev. 138, A225 (1965).

    Article  ADS  Google Scholar 

  15. See e. g. ref. 4.

    Google Scholar 

  16. T. Ando, Phys. Rev. B13, 3468 (1976)

    ADS  Google Scholar 

  17. other approaches have also been used to calculate the effects of exchange and correlation see e. g. F. Stern, Phys. Rev. Lett. 30, 278 (1973), and B. Vinter, Phys. Rev. Letters 35, 578 (1975).

    Article  ADS  Google Scholar 

  18. F. Stern, phys. Rev. Letters 33, 960 (1974); the depletion potential for the accumulation case at low temperatures is determined by the compensated minority impurities (NA for n-type Si).

    Article  ADS  Google Scholar 

  19. J.L. Smith and P.J. Stiles, Phys. Rev. Lett. 29, 102 (1973).

    Article  ADS  Google Scholar 

  20. J.F. Janak, Phys. Rev. 178, 1416 (1969).

    Article  ADS  Google Scholar 

  21. T. Ando and Y. Vemura, J. Phys. Soc. Japan 37, 1044 (1974).

    Article  ADS  Google Scholar 

  22. C.S. Ting, T.K. Lee, and J.J. Quinn, Phys. Rev. Lett. 34, 870 (1975)

    Article  ADS  Google Scholar 

  23. T. K. Lee, C.S. Ting, and J.J. Quinn, Solid State Commun. 16, 1309 (1975).

    Article  ADS  Google Scholar 

  24. S.M. Sze, “Physics of Semiconductor Devices” (Wiley-Interscience, New York, 1969), Chapters 9 and 10.

    Google Scholar 

  25. P. Richman, “MOS Field-Effect Transistors and Integrated Circuits” (Wiley-Interscience, New York, 1973).

    Google Scholar 

  26. R.J. Wagner, A.J. Zelano, and L.H. Ngai, Opt. Commun, 8, 46 (1973).

    Article  ADS  Google Scholar 

  27. B.D. McCombe, R.T. Holm, and D.E. Schafer, Solid State Commun. to be published; and, to be published.

    Google Scholar 

  28. C.C. Hu, J. Pearse, K.M. Cham, and R.G. Wheeler, Surface Science 73, 207 (1978).

    Article  ADS  Google Scholar 

  29. See e. g. J.F. Koch, Surface Science 58, 104 (1976).

    Article  ADS  Google Scholar 

  30. R.G. Wheeler and H.S. Goldberg, IEEE Trans. on Elec. Devices ED-22, 1001 (1975); and ref. 5.

    Article  ADS  Google Scholar 

  31. E. Gornik and D.C. Tsui, Surface Science 73, 217 (1978).

    Article  ADS  Google Scholar 

  32. E. Gornik and D.C. Tsui, Phys. Rev. Lett. 37 1475 (1976).

    Article  ADS  Google Scholar 

  33. A. Kamgar, P. Kneschaurek, G. Dorda, and J.F. Koch, Phys. Rev. Lett. 32, 1251 (1974).

    Article  ADS  Google Scholar 

  34. P. Kneschaurek and J.F. Koch, Phys. Rev. B15, 1590 (1977); and references therein.

    ADS  Google Scholar 

  35. For a recent review see T. Ando, Surface Science 73 1 (1978).

    Google Scholar 

  36. This was first pointed out for space charge layers by W.P. Chen, Y.J. Chen and E. Burstein, Surface Science 58 263 (1976).

    Article  ADS  Google Scholar 

  37. S.J. Allen, D.C. Tsui, and B. Vinter, Solid State Commun. 20, 425 (1976).

    Article  ADS  Google Scholar 

  38. T. Ando, Solid State Commun. 21, 133 (1977); Zeitschrift für Physik B26, 263 (1977).

    Article  MathSciNet  ADS  Google Scholar 

  39. S. Das Sarma, R.K. Kalia, J.J. Quinn, and M. Nakayama, Bull. Am. Phys. Soc. 24, 437 (1979); and to be published.

    Google Scholar 

  40. C.S. Ting, private communication, and to be published.

    Google Scholar 

  41. M.J. Kelly and L.M. Falicov, Phys. Rev. Lett. 37, 1021 (1976); Phys. Rev. B15, 1974 (1977).

    Google Scholar 

  42. See e. g. D.C. Tsui and G. Kaminsky, Phys. Rev. Lett. 42, 595 (1979).

    Article  ADS  Google Scholar 

  43. T. Cole and B.D. McCombe, to be published.

    Google Scholar 

  44. A. Hartstein and A.B. Fowler, Phys. Rev. Lett. 34, 1435 (1975); Proc. of the XIIIth Intl Conf. on the Physics of Semiconductors (Tipografia Marves, Rome, 1976) ed. by F.G. Fumi, p. 741.

    Article  ADS  Google Scholar 

  45. See e. g. F.F. Fang, A.B. Fowler, and A. Hartstein, Surface Science 73, 269 (1978).

    Article  ADS  Google Scholar 

  46. G.M. Kramer, B.G. Martin, and R.F. Wallis, Surface Science 73, 96 (1978).

    Article  ADS  Google Scholar 

  47. B.D. McCombe and D.E. Schäfer, Proc. of the XIVth Int’l Conf. on the Physics of Semiconductors (Edinburgh), Inst. of Phys. Conf. Ser. 43, 1227 (1979).

    Google Scholar 

  48. G.M. Kramer and R.F. Wallis, ibid., p. 1243.

    Google Scholar 

  49. T. Ando, J. Phys. Soc. Japan 38, 989 (1975).

    Article  ADS  Google Scholar 

  50. G. Abstreiter, J.P. Kotthaus, J.F. Koch, and G. Dorda, Phys. Rev. B14, 2480 (1976).

    ADS  Google Scholar 

  51. R.J. Wagner, T.A. Kennedy, B.D. McCombe, and D.C. Tsui, to be published.

    Google Scholar 

  52. T.A. Kennedy, R.J. Wagner, B.D. McCombe, and J.J. Quinn, Solid State Commun. 18, 275 (1976).

    Article  ADS  Google Scholar 

  53. See ref. 45.

    Google Scholar 

  54. See ref. 8.

    Google Scholar 

  55. M. Prasad and S. Fujita, Surface Science 73, 494 (1978).

    Article  ADS  Google Scholar 

  56. J.L. Smith and P.J. Stiles, Phys. Rev. Lett. 29, 102 (1972).

    Article  ADS  Google Scholar 

  57. C.S. Ting, T.K. Lee and J.J. Quinn, Phys. Rev. Lett. 34, 870 (1975).

    Article  ADS  Google Scholar 

  58. B. Vinter, Phys. Rev. Lett. 35, 1044 (1975).

    Article  ADS  Google Scholar 

  59. T.K. Lee, C.S. Ting, and J.J. Quinn, Solid State Commun. 16, 1309 (1975).

    Article  ADS  Google Scholar 

  60. W. Kohn, Phys. Rev. 123, 1242 (1961).

    Article  ADS  MATH  Google Scholar 

  61. See e. g. J.J. Quinn, B.D. McCombe, K.L. Ngai, and T.L. Reinecke, Phys. Lett. 54A, 161 (1975).

    ADS  Google Scholar 

  62. T. Ando, Phys. Rev. Lett. 36, 1383 (1976).

    Article  ADS  Google Scholar 

  63. C.S. Ting, S.C. Ying, and J.J. Quinn, Phys. Rev. Lett. 17, 215 (1976).

    Article  ADS  Google Scholar 

  64. N. Tzoar, P.M. Platzman and A. Simons, Phys. Rev. Lett. 36, 1200 (1976).

    Article  ADS  Google Scholar 

  65. J.J. Quinn, private communication.

    Google Scholar 

  66. G. Abstreiter, J.F. Koch, P. Goy, and Y. Couder, Phys. Rev. B14, 2494 (1976).

    ADS  Google Scholar 

  67. The temperature dependence of the mass in the metallic region (decreasing with increasing temperature, ref. 47) as well as the increasing mass with decreasing density are in qualitative agreement with a recent theoretical calculation based on electron-electron interactions, C.S. Ting and A. Ganguly, Phys. Rev., to be published.

    Google Scholar 

  68. J.P. Kotthaus, G. Abstreiter, J.F. Koch, and R. Ranvand, Phys. Rev. Lett. 34, 151 (1975).

    Article  ADS  Google Scholar 

  69. H.J. Mikeska and H. Schmidt, Zeitschrift für Physik B20, 43 (1975).

    ADS  Google Scholar 

  70. T.A. Kennedy, R.J. Wagner, B.D. McCombe, and D.C. Tsui, Solid State Commun. 21, 459 (1977).

    Article  Google Scholar 

  71. H. Fukuyama, Solid State Commun. 17, 1323 (1975).

    Article  ADS  Google Scholar 

  72. Y.E. Lozovik and V.I. Yudson, JETP Lett. 22, 11 (1975).

    ADS  Google Scholar 

  73. K.L. Ngai and C.T. White, Surface Science 73, 31 (1978).

    Article  ADS  Google Scholar 

  74. C.T. White and K.L. Ngai, ibid., p. 116; and Phys. Rev., to be published.

    Google Scholar 

  75. R.J. Wagner and D.C. Tsui, Solids and Plasmas in High Magnetic Fields, ed. by R.L. Aggarwal, A.J. Freeman and B.B. Schwartz (North Holland, Amsterdam, 1979), p. 26.

    Google Scholar 

  76. B.A. Wilson, D.C. Tsui, and S.J. Allen, Jr., Bull. Am. Phys. Soc. 24, 436 (1979).

    Google Scholar 

  77. H. Kuhlbeck and J.P. Kotthaus, Phys. Rev. Lett. 35, 1019 (1975).

    Article  ADS  Google Scholar 

  78. P. Stallhofer, J.P. Kotthaus, and J.F. Koch, Solid State Commun. 20, 519 (1976).

    Article  ADS  Google Scholar 

  79. M.J. Kelley and L.M. Falicov, Solid State Commun. 22, 447 (1977).

    Article  ADS  Google Scholar 

  80. P. Stallhofer, J.P. Kotthaus, and G. Abstreiter, submitted for publication.

    Google Scholar 

  81. T. Ando, J. Phys. Soc. Japan 39, 411 (1975).

    Article  ADS  Google Scholar 

  82. W. Beinvogl, A. Kamgar, and J.F. Koch, Phys. Rev. B14, 4274 (1976).

    ADS  Google Scholar 

  83. W. Beinvogl and J.F. Koch, Phys. Rev. Lett. 40, 1736 (1978).

    Article  ADS  Google Scholar 

  84. T. Ando, Solid State Commun. 21, 801 (1977).

    Article  MathSciNet  ADS  Google Scholar 

  85. See e. g. A.A. Lakhani, T. Cole, and P.J. Stiles, Surface Science 73, 223 (1978)

    Article  ADS  Google Scholar 

  86. D.C. Tsui, S.J. Allen, Jr., R.A. Logan, A. Kamgar, and S.N. Coppersmith, ibid., p. 419; and references therein.

    Google Scholar 

  87. S.J. Allen, Jr., D.C. Tsui, and R.A. Logan, Phys. Rev. Lett. 38, 980 (1977)

    Article  ADS  Google Scholar 

  88. T. N. Theis, J.P. Kotthaus, and P.J. Stiles, Solid State Commun. 24, 273 (1977).

    Article  ADS  Google Scholar 

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McCombe, B.D. (1980). Far Infrared Optical and Magneto-Optical Studies of Si Space Charge Layers. In: Devreese, J.T. (eds) Theoretical Aspects and New Developments in Magneto-Optics. Nato Advanced Study Institutes Series, vol 60. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-0454-6_18

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  • DOI: https://doi.org/10.1007/978-1-4899-0454-6_18

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