Transport inefficiency in branched-out mesoscopic networks: an analog of the Braess paradox |
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Authors: | Pala M G Baltazar S Liu P Sellier H Hackens B Martins F Bayot V Wallart X Desplanque L Huant S |
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Institution: | IMEP-LAHC, Grenoble INP, Minatec, BP 257, Grenoble, France. pala@minatec.inpg.fr |
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Abstract: | 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. |
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