Abstract
Tunnelling through a weakly disordered potential barrier is studied analytically. A perturbative approach is developed to calculate all statistical moments of the tunnelling transmission coefficient, and its probability distribution function. It is shown that on average disorder enhances the tunnelling conductance, resistance, and the coherent component of the transmitted field.
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References
E. L. Wolf,Principles of Electron Tunneling Spectroscopy (Oxford University Press. Oxford, 1985).
P. Singha Deo and A. M. Jayannavar,Mod. Phys. Lett. 7, 1045 (1993); A. M. Jayannavar and P. Singha Deo,Mod. Phys. Lett. 8, 301 (1994).
A. Barone, G. Paterno,Physics and Applications of Josephson Effect (Wiley, New York, 1984).
C. W. J. Beenakker, inTransport Phenomena in Mesoscopic Systems, Fukuyama and T. Ando eds. (Springer, Berlin, 1992).
A. Abrikosov,Fundamentals of the Theory of Metals (North-Holland, Amsterdam, 1988)
J. Slater,Microwave Electronics (van Nostrand, Princeton, 1963).
D. Maystre and M. Nieto-Vesperinas,J. Opt. Soc. Am. A 9, 2218 (1992).
R. Landauer and Th. Martin,Rev. Mod. Phys. 66, 217 (1994).
V. L. Berezinskii,Sov. Phys. JETP 38, 620 (1974); A. A. Abrikosov and I. A. Ryzhkin.Adv. Phys. 27, 146 (1978); V. I. Mel'nikov,Sov. Phys. Solid State 22, 1398 (1980): N. Kumar,Phys. Rev. B 31, 5513 (1985).
S. B. Haley and P. Erdös,Phys Rev. B 45, 8572 (1992).
V. I. Klyatskin and A. I. Saichev,Sov. Phys. Usp. 35, 231 (1992).
I. M. Lifshitz and V. Ya. Kirpichenkov,Sov. Phys. JETP 50, 499 (1979).
M. E. Raikh and I. M. Ruzin, inMesoscopic Phenomena in Solids, B. L. Altshuler, P. A. Lee, and R. A. Webb, eds. (North-Holland, Amsterdam, 1991), p. 315.
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On leave from the Institute of Low-Temperature Physics and Engineering, Kharkov 310164, Ukraine.
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Freilikher, V., Pustilnik, M. & Yurkevich, I. Tunneling through a disordered potential barrier. Found Phys 26, 701–712 (1996). https://doi.org/10.1007/BF02058241
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DOI: https://doi.org/10.1007/BF02058241