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arXiv · 1311.6648

Braess paradox at the mesoscopic scale

A. A. Sousa·Andrey Chaves·G. A. Farias·F. M. Peeters
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Abstract

We theoretically demonstrate that the transport inefficiency recently found experimentally for branched-out mesoscopic networks can also be observed in a quantum ring of finite width with an attached central horizontal branch. This is done by investigating the time evolution of an electron wave packet in such a system. Our numerical results show that the conductivity of the ring does not necessary improves if one adds an extra channel. This ensures that there exists a quantum analogue of the Braess Paradox, originating from quantum scattering and interference.

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A. A. Sousa, Andrey Chaves, G. A. Farias, F. M. Peeters. 2013-11-26. Braess paradox at the mesoscopic scale. https://doi.org/10.1103/physrevb.88.245417

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