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The exact solution of Esaki's equation for the tunneling current is extremely complicated. A method is presented allowing a simple solution. Under the assumption that the distances between the Fermi level and the band edges E₁ and E₂ on both sides of the junction do not exceed $2kT$, the Fermi function is approximated by a straight line. The resulting equation indicating the voltage dependence of the tunneling current is as follows: I=A^'''V(E₁+E₂-qV)².
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J. Karlovský (1962) studied this question.
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