The conductance of a multi-mode ballistic ring: Beyond Landauer and Kubo

S. Bandopadhyay; Y. Etzioni; D. Cohen

doi:10.1209/epl/i2006-10360-9

The conductance of a multi-mode ballistic ring: Beyond Landauer and Kubo

S. Bandopadhyay
, Y. Etzioni
, D. Cohen

Department of Physics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

The Landauer conductance of a two-terminal device equals to the number of open modes in the weak scattering limit. What is the corresponding result if we close the system into a ring? Is it still bounded by the number of open modes? Or is it unbounded as in the semi-classical (Drude) analysis? It turns out that the calculation of the mesoscopic conductance is similar to solving a percolation problem. The "percolation" is in energy space rather than in real space. The non-universal structures and the sparsity of the perturbation matrix cannot be ignored.

Original language	English
Pages (from-to)	739-745
Number of pages	7
Journal	EPL
Volume	76
Issue number	5
DOIs	https://doi.org/10.1209/epl/i2006-10360-9
State	Published - 1 Dec 2006

ASJC Scopus subject areas

General Physics and Astronomy

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10.1209/epl/i2006-10360-9

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AB - The Landauer conductance of a two-terminal device equals to the number of open modes in the weak scattering limit. What is the corresponding result if we close the system into a ring? Is it still bounded by the number of open modes? Or is it unbounded as in the semi-classical (Drude) analysis? It turns out that the calculation of the mesoscopic conductance is similar to solving a percolation problem. The "percolation" is in energy space rather than in real space. The non-universal structures and the sparsity of the perturbation matrix cannot be ignored.

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The conductance of a multi-mode ballistic ring: Beyond Landauer and Kubo

Abstract

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