Braess paradox at the mesoscopic scale

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.

accepted for publication in Phys. Rev. B

References in corpus (3)

• Imaging and controlling electron transport inside a quantum ring
• Chebyshev approach to quantum systems coupled to a bath
• A new transport phenomenon in nanostructures: A mesoscopic analog of the Braess paradox encountered in road networks

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• 2D Rutherford-Like Scattering in Ballistic Nanodevices
• Multitip scanning gate microscopy for ballistic transport studies in systems with two-dimensional electron gas