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Potential Barriers and Emission‐Limited Current Flow Between Closely Spaced Parallel Metal Electrodes
1.A. Sommerfeld, Z. Physik 47, 1 (1928).
2.See, for example, C. Kittel, Introduction to Solid State Physics (John Wiley & Sons, Inc., New York, 1956), 2nd ed., Chap. 10.
3.H. Frohlich, Elecktronentheorie Der Metalle (Julius Springer‐Verlag, Berlin, 1936), p. 11.
4.J. G. Simmons, Phys. Rev. Letters 10, 10 (1963).
5.W. Schottky, Z. Physik 15, 872 (1914).
6.W. R. Smythe, Static and Dynamic Electricity (McGraw‐Hill Book Company, Inc., New York, 1950), Chap. IV.
7.Equation (8), written in the form shown, is interpreted as follows: if we let (8) reduces to (6). Thus, the summation term in the braces in (8) is interpreted simply as the contribution of the second electrode to the image potential.
8.J. G. Simmons, J. Appl. Phys. 34, 1793 (1963).
8.The image potential used in this reference, is in error by a numerical factor 2 from that of (7) of the present paper. It is, therefore, necessary for the reader to substitute wherever the dielectric constant K appears in this reference. The image potential then becomes.
9.J. G. Simmons, J. Appl. Phys. 34, 2581 (1963). Comments referring to in Ref. 8 apply here also.
10.We are inherently assuming that the field between the electrodes is sufficiently great that space‐charge‐limited effects are negligible. This condition will be satisfied, even for small voltages, for insulators only a few tens of angstroms thick.
11.F. Seitz, Modern Theory of Solids (McGraw‐Hill Book Company, Inc., New York, 1940), p. 161.
12.C. L. Standley and L. I. Maissel, J. Appl. Phys. 35, 1530 (1964).
13.R. M. Handy, Phys. Rev. 126, 1968 (1962).
14.J. C. Fisher and I. Giaever, J. Appl. Phys. 32, 172 (1961).
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