This article is cited in 2 papers

Low dimensional systems

Landauer resistance in the case of multichannel scattering

D. M. Sedrakian^a, L. R. Sedrakyan<sup>b

a</sup> Yerevan State University
^b Russian-Armenian University, Yerevan

Abstract: The Landauer resistance $\rho_N^L$ has been generalized to the case of multichannel scattering of a particle by the system of $N$ nonoverlapping random potentials that are localized at the points $\xi$ ($i$ = 1, 2, $\dots$, $N$) and depend on $x$–$x_i$ and $y$. It has been shown that, in this case, a new resistance $\rho_N^S$ appears, which is an exponential function of $N$. The recurrence equation for determining the Landauer resistance $\rho_N^L$ has been derived and its solution in the general case has been obtained.

Received: 04.02.2011

 English version: Physics of the Solid State, 2011, 53:8, 1714–1721

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