Asymptotic expansion for small magnetic fields of acoustoelectric attenuation in nondegenerate semiconductors

  • Authors:

  • J. S. Lew

  • Affiliations:

  • IBM Thomas J. Watson Research Center, Yorktown Heights, New York

  • Venue:
  • IBM Journal of Research and Development
  • Year:
  • 1973

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Abstract

The semiclassical analysis of acoustoelectric effects involves an infinite sum S(c,x) = ic exp (-x) Σn=-∞+∞ (n + ic)-1 In(x), in which both arguments c and x depend on the magnetic field B. Recently Lebwohl, Carlson, and Mosekilde have found an integral-representation for this sum, through which now we identify S(c,x) as a generalized hypergeometric function. Moreover we derive an asymptotic series for S(c,x) in the limit of small B, whose coefficients, in a parameter z, involve the iterated integrals of the complementary error function.