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.

arXiv commentaccepted for publication in Phys. Rev. B

References in corpus (10)

• Imaging and controlling electron transport inside a quantum ring
• Numerical approaches to time evolution of complex quantum systems
• Nonlocal failures in complex supply networks by single link additions
• Transport inefficiency in branched-out mesoscopic networks: An analog of the Braess paradox
• Time dependent simulations of electron transport through a quantum ring: effect of the Lorentz force
• Non-local Aharonov-Bohm conductance oscillations in an asymmetric quan-tum ring
• Chebyshev approach to quantum systems coupled to a bath
• Phase shifts and phase $\pi$-jumps in four-terminal waveguide Aharonov-Bohm interferometers
• A new transport phenomenon in nanostructures: A mesoscopic analog of the Braess paradox encountered in road networks
• Multisubband transport and magnetic deflection of Fermi electron trajectories in three terminal junctions and rings

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