A new transport phenomenon in nanostructures: A mesoscopic analog of the Braess paradox encountered in road networks

Abstract

The Braess paradox, known for traffic and other classical networks, lies in the fact that adding a new route to a congested network in an attempt to relieve congestion can counter-intuitively degrade the overall network performance. Recently, we have extended the concept of Braess paradox to semiconductor mesoscopic networks, whose transport properties are governed by quantum physics. In this paper, we demonstrate theoretically that, alike in classical systems, congestion plays a key role in the occurrence of a Braess paradox in mesoscopic networks.

Invited talk at Int. Conf. on Superlattices, Nanostructures, and Nanodevices (ICSNN2012), Dresden, July 2012; submitted to Nanoscale Res. Lett

References in corpus (5)

• On the imaging of electron transport in semiconductor quantum structures by scanning-gate microscopy: successes and limitations
• Imaging and controlling electron transport inside a quantum ring
• Imaging Electron Wave Functions Inside Open Quantum Rings
• Imaging Coulomb Islands in a Quantum Hall Interferometer
• Local Density of States in Mesoscopic Samples from Scanning Gate Microscopy

Cited by in corpus (1)

• Two-parameter landscape of transport efficiency in mesoscopic networks: transitions from the Braess to normal regimes without a congestion relaxation