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

Physics and Astronomy (all)

Access to Document

10.1209/epl/i2006-10360-9

Cite this

@article{6e7111a23bcf47238f057301f47f4043,

title = "The conductance of a multi-mode ballistic ring: Beyond Landauer and Kubo",

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.",

author = "S. Bandopadhyay and Y. Etzioni and D. Cohen",

year = "2006",

month = dec,

day = "1",

doi = "10.1209/epl/i2006-10360-9",

language = "English",

volume = "76",

pages = "739--745",

journal = "EPL",

issn = "0295-5075",

publisher = "IOP Publishing Ltd.",

number = "5",

}

TY - JOUR

T1 - The conductance of a multi-mode ballistic ring

T2 - Beyond Landauer and Kubo

AU - Bandopadhyay, S.

AU - Etzioni, Y.

AU - Cohen, D.

PY - 2006/12/1

Y1 - 2006/12/1

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=33845327101&partnerID=8YFLogxK

U2 - 10.1209/epl/i2006-10360-9

DO - 10.1209/epl/i2006-10360-9

M3 - Article

AN - SCOPUS:33845327101

SN - 0295-5075

VL - 76

SP - 739

EP - 745

JO - EPL

JF - EPL

IS - 5

ER -

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

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this