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Solutions are obtained for the propagation of plane electromagnetic waves parallel to a gradient of free electron density, in the form of complex Airy functions. Reflection and transmission coefficien...
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Theory of Tunneling

J. Appl. Phys. 32, 83 (1961); doi:10.1063/1.1735965

Issue Date: January 1961

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Evan O. Kane
Semiconductor Materials Department, Hughes Research Laboratories, Malibu, California
The theory of ``direct'' and ``phonon-assisted'' tunneling is reviewed. Theoretical I–V characteristics are calculated using the constant field model. Generalizations to nonconstant field and more complicated band structure models are discussed briefly. ©1961 The American Institute of Physics
History: Received June 6, 1960
Permalink: http://link.aip.org/link/?JAPIAU/32/83/1
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PUBLICATION DATA

ISSN:
0021-8979 (print)   1089-7550 (online)
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REFERENCES (17)
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  1. C. Zener, Proc. Roy. Soc. (London) 145, 523 (1934);
  2. W. V. Houston, Phys. Rev. 57, 184 (1940);
    3. G. H. Wannier, Resumés Intern. Congr. Sol. State Phys., Brussels 89 (1958);
    Phys. Rev. 100, 1227 (1955);
    101, 1835 (1956);
    P. Feuer, ibid. 88, 92 (1952).
  3. W. Franz, International Conference on Semiconductors, Garmisch-Partenkirchen, 1956) (Interscience Publishers, Inc., New York, 1958), p. 317.
    4. Z. Naturforsch. 14a, 415 (1959).
  4. L. V. Keldysh, Soviet Phys.-JETP 6(33), 763 (1958);
    5. 34(7), 665 (1958).
  5. E. O. Kane, J. Phys. Chem. Solids 12, 181 (1960).
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  7. E. N. Adams, J. Chem. Phys. 21, 2013 (1953).
  8. R. P. Feynman, Revs. Modern Phys. 20, 367 (1948).
  9. Similar expressions have recently been derived by R. Stratton.
  10. This value corrects the estimate given in footnote 12.
  11. H. Ehrenreich, J. Phys. Chem. Solids 2, 131 (1957).
  12. N. Holonyak, Jr., I. A. Lesk, R. N. Hall, J. J. Tiemann, and H. Ehrenreich, Phys. Rev. Letters 3, 167 (1959).
    13. More extensive data, as yet unpublished, were reported by R. N. Hall, Bull. Am. Phys. Soc. Ser. II 5, 38 (1960) and at the January, 1960 Meeting of the American Physical Society, the West Coast Tunnel Diode Symposium of the AIEE-IRE;
    L. Esaki and Y. Miyahara, Solid-State Electronics 1, 13, (1960).
  13. J. V. Morgan and E. O. Kane, Phys. Rev. Letters 3, 466 (1959).
  14. E. O. Kane, J. Phys. Chem. Solids 1, 249 (1957).
  15. P. J. Price (unpublished).
  16. B. N. Brockhouse, J. Phys. Chem. Solids 8, 400 (1959).
  17. E. O. Kane (unpublished).
  18. A. Goetzberger and W. Shockley, Bull. Am. Phys. Soc. Ser. II 4, 411 (1959).

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