LANDAUER FORMULA AND FORMING OF SPECTRAL BANDS

B.Pavlov, G. Roach and A.Yafyasov

Abstract

barrier is compared with one corresponding to a finite
periodic chain of $N$ potential barriers or wells. It is
proved, that even for small periodic potentials the
exponential decreasing of the transmission coefficient
for growing $N$ takes place in lacunas of the
corresponding periodic operator on the whole real line.
Using the Landauer formula we express the conductivity
of the corresponding onedimensional conductor in terms of the
transmission coefficient.

Keywords

Math Review Classification

Last Updated
31 March 1998

Length
12 pages

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