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Resonant tunneling through Schottky barriers
1.H. K. Henisch, Rectifying Semiconductor Contacts (Oxford U.P., New York, 1957).
2.F. A. Padovani, Semiconductors and Semimetals, edited by R. K. Willardson and A. C. Beer, Vol. 7A (Academic, New York, 1971), Chap. 2.
3.Obviously in an unbiased contact in thermal equilibrium the net current through the interface is zero. However, with the purpose of estimating the relative magnitude of the RT current, simple tunneling current, and thermocurrents it is enough to discuss the behavior of the saturation current in each case. The I‐V characteristics of the RT current can be obtained combining the usual formula for the I‐V characteristics of tunneling currents (Ref. 4) with the method given here to obtain the resonant transmission coefficient; in doing this it should be taken into account that the shape of the Schottky barrier is bias dependent.
4.F. A. Padovani and R. Stratton, Solid‐State Electron. 9, 695 (1966).
4.For a general microscopic theory of tunneling based on the Green’s function formalism see, for instance, C. B. Duke, G. G. Kleiman, and T. E. Stakelon, Phys. Rev. B 6, 2389 (1972).
5.D. Bohm, Quantum Theory (Prentice‐Hall, Englewood Cliffs, N.J., 1951), Chap. 12.
6.For the numerical example given below, the finite width of the potential wells modifies the values of and in Table I by less than two orders of magnitude.
7.Deep traps with cross sections of the order of have been observed in GaAs. See R. Williams, J. Appl. Phys. 37, 3411 (1966).
8.This numerical estimate follows from Eq. (13). However, the reliability of Eq. (13), based on statistical thermodynamics, is doubtful when it results in such a small current.
9.Electron‐irradiated GaAs presents levels which seem suitable for the observation of the resonant tunneling effect. See D. V. Lang and L. C. Kimerling, Phys. Rev. Lett. 33, 489 (1974).
10.See, for example, J. Lambe and R. C. Jaklevic, Phys. Rev. 165, 821 (1968);
10.J. Klein, A. Léger, M. Belin, D. Defourneau, and M. J. L. Sangster, Phys. Rev. B 7, 2336 (1973).
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