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Transport inefficiency in branched-out mesoscopic networks: An analog of the Braess paradox

We present evidence for a counter-intuitive 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.

preprint2012arXivOpen access
M. G. PalaS. BaltazarP. LiuH. SellierB. HackensF. MartinsV. BayotX. WallartL. DesplanqueS. Huant
cond-mat.mes-hall
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Open access10 authors1 topic
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M. G. PalaS. BaltazarP. LiuH. SellierB. HackensF. MartinsV. BayotX. WallartL. DesplanqueS. Huant

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