Generalized many-channel conductance formula with application to small rings

M. Büttiker, Y. Imry, R. Landauer, and S. Pinhas
Phys. Rev. B 31, 6207 – Published 15 May 1985
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Abstract

The conductance of a sample scattering elastically and coupled to leads with many channels is derived. We assume that all the incident channels on one side of the sample are fed from the same chemical potential. The transmitted and reflected streams are determined by the incident streams through the multichannel scattering properties of the sample. We do not assume that the channels equilibrate with each other. Our result differs from those given earlier by other authors, except for that of Azbel [J. Phys. C 14, L225 (1981)], which is confirmed. We point out that a similar result is obtained for the conductance in a single channel at a temperature above zero. As an application, we obtain the dependence on channel number N of the contributions to the conductance of a small ring, periodic in the Aharonov-Bohm flux through it. Terms whose period is h/e as well as those with period h/2e vary with N as 1/N.

  • Received 13 December 1984

DOI:https://doi.org/10.1103/PhysRevB.31.6207

©1985 American Physical Society

Authors & Affiliations

M. Büttiker

  • IBM Thomas J. Watson Research Center, Yorktown Heights, New York 10598

Y. Imry

  • Department of Physics and Astronomy, Tel Aviv University, Tel Aviv 69978, Israel and IBM Thomas J. Watson Research Center, Yorktown Heights, New York 10598

R. Landauer

  • IBM Thomas J. Watson Research Center, Yorktown Heights, New York 10598

S. Pinhas

  • Department of Physics and Astronomy, Tel Aviv University, Tel Aviv 69978, Israel

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Vol. 31, Iss. 10 — 15 May 1985

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