Transport inefficiency in branched-out mesoscopic networks: An analog of the Braess paradox
arXiv:1112.1170 · doi:10.1103/PhysRevLett.108.076802
Abstract
We present evidence for a counter-intuitive 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.
2nd version with minor stylistic corrections. To appear in Phys. Rev. Lett.: Editorially approved for publication 6 January 2012
References in corpus (9)
- Imaging Magnetic Focusing of Coherent Electron Waves
- Unexpected features of branched flow through high-mobility two-dimensional electron gases
- 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
- Surface plasmon propagation in an elliptical corral
- Local Density of States in Mesoscopic Samples from Scanning Gate Microscopy
- Measurement of the Tip-Induced Potential in Scanning Gate Experiments
Cited by in corpus (18)
- Statistical physics of vaccination
- Braess's Paradox in Epidemic Game: Better Condition Results in Less Payoff
- Understanding Braess' Paradox in power grids
- Braess's paradox and programmable behaviour in microfluidic networks
- Simulations of imaging of the local density of states by charged probe technique for resonant cavities
- Antagonistic Phenomena in Network Dynamics
- Braess paradox at the mesoscopic scale
- Narrow peaks of full transmission in simple quantum graphs
- Signatures of spin-orbit coupling in scanning gate conductance images of electron flow from quantum point contacts
- Simple quantum graphs proposal for quantum devices
- Universal Braess paradox in open quantum dots
- A new transport phenomenon in nanostructures: A mesoscopic analog of the Braess paradox encountered in road networks
- Classical origin of conductance oscillations in an integrable cavity
- On the Braess Paradox with Nonlinear Dynamics and Control Theory
- Braess Paradox in a quantum network
- Multitip scanning gate microscopy for ballistic transport studies in systems with two-dimensional electron gas
- Two-parameter landscape of transport efficiency in mesoscopic networks: transitions from the Braess to normal regimes without a congestion relaxation
- Chaotic sedimentation of particle pairs in a vertical channel at low Reynolds number: multiple states and routes to chaos