Transport Inefficiency in Branched-Out Mesoscopic Networks: An Analog of the Braess Paradox

被引：39

作者：

Pala, M. G. ^{[1
]}

Baltazar, S. ^{[1
]}

Liu, P. ^{[2
,3
]}

Sellier, H. ^{[2
,3
]}

Hackens, B. ^{[4
]}

Martins, F. ^{[4
]}

Bayot, V. ^{[2
,3
,4
]}

Wallart, X. ^{[5
]}

Desplanque, L. ^{[5
]}

Huant, S. ^{[2
,3
]}

机构：

[1] Minatec, Grenoble INP, IMEP LAHC, F-38016 Grenoble, France

[2] CNRS, Inst Neel, F-38042 Grenoble, France

[3] Univ Grenoble 1, F-38042 Grenoble, France

[4] UCL, DICE Lab, CERMIN, B-1348 Louvaine La Neuve, Belgium

[5] UST Lille, UMR CNRS 8520, IEMN, F-59652 Villeneuve Dascq, France

来源：

PHYSICAL REVIEW LETTERS | 2012年 / 108卷 / 06期

关键词：

ELECTRON; FLOW;

D O I：

10.1103/PhysRevLett.108.076802

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present evidence for a counterintuitive behavior of semiconductor mesoscopic networks that is the analog of the Braess paradox encountered in classical networks. A numerical simulation of quantum transport in a two-branch mesoscopic network reveals that adding a third branch can paradoxically induce transport inefficiency that manifests itself in a sizable conductance drop of the network. A scanning-probe experiment using a biased tip to modulate the transmission of one branch in the network reveals the occurrence of this paradox by mapping the conductance variation as a function of the tip voltage and position.

引用

页数：5

共 5 条

[1] A new transport phenomenon in nanostructures: a mesoscopic analog of the Braess paradox encountered in road networks
Marco Pala
Hermann Sellier
Benoit Hackens
Frederico Martins
Vincent Bayot
Serge Huant
[J]. Nanoscale Research Letters, 7
[2] A new transport phenomenon in nanostructures: a mesoscopic analog of the Braess paradox encountered in road networks
Pala, Marco
Sellier, Hermann
Hackens, Benoit
Martins, Frederico
Bayot, Vincent
Huant, Serge
[J]. NANOSCALE RESEARCH LETTERS, 2012, 7
[3] Planning The Electron Traffic In Semiconductor Networks: A Mesoscopic Analog Of The Braess Paradox Encountered In Road Networks
Huant, S.
Baltazar, S.
Liu, P.
Sellier, H.
Hackens, B.
Martins, F.
Bayot, V.
Wallart, X.
Desplanque, L.
Pala, M. G.
[J]. PHYSICS OF SEMICONDUCTORS, 2013, 1566 : 229 - +
[4] Braess's Paradox Analog in Physical Networks of Optimal Exploration
Gounaris, Georgios
Katifori, Eleni
[J]. PHYSICAL REVIEW LETTERS, 2024, 133 (06)
[5] Two-parameter landscape of transport efficiency in mesoscopic networks: transitions from the Braess to normal regimes without a congestion relaxation
Lobanov, A. D.
Lobanova, A. D.
Pupasov-Maksimov, A. M.
[J]. JOURNAL OF PHYSICS-CONDENSED MATTER, 2022, 34 (32)

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