Abstract
Generalization of the Landauer resistivity ρ L N is given for the case of multichannel scattering of a particle by the system of nonoverlapped N random potentials, depending on x − x i and y, which are localized near the points x i (i = 1,2,…N). It is shown that in this case a new resistivity ρ S N appears, which is a power function of N. A recurrent equation is obtained for definition of the Landauer resistivity ρ L N .
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Madelung, O., Introduction to Solid-State Theory, Berlin, Heidelberg: Springer, 1996.
Sedrakian, D.M., Badalian, D.A., and Khachatrian, A.Zh., FTT, 1999, vol. 41, p. 1687; 1999, vol. 41, p. 1851; 2000, vol. 42, p. 747.
Khachatrian, A.Zh., Robke, G., Badalian, D.H., and Sedrakian, D.M., Phys. Rev. B, 2000, vol. 62, p. 13501.
Landauer, R., Phil. Mag., 1970, vol. 21, p. 863.
Sedrakian, D.M., J. Contemp. Phys. (Armenian Ac. Sci.), 2010, vol. 45, p. 25; 2010, vol. 45, p. 118.
Sedrakian, L.R., Doklady NAN Armeniii, 2009, vol. 109, p. 214.
Sedrakian, D.M., Kazaryan, E.M., and Sedrakian, L.R., J. Contemp. Phys. (Armenian Ac. Sci.), 2009, vol. 44, p. 257.
Author information
Authors and Affiliations
Additional information
Original Russian Text © D.M. Sedrakian, L.R. Sedrakian, 2010, published in Izvestiya NAN Armenii, Fizika, 2010, Vol. 45, No. 5, pp. 314–321.
About this article
Cite this article
Sedrakian, D.M., Sedrakian, L.R. Equation for the Landauer resitivity in the case of multichannel scattering. J. Contemp. Phys. 45, 203–208 (2010). https://doi.org/10.3103/S1068337210050026
Received:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S1068337210050026