Relaxation in driven integer quantum Hall edge states

Abstract

A highly non-thermal electron distribution is generated when quantum Hall edge states originating from sources at different potentials meet at a quantum point contact. The relaxation of this distribution to a stationary form as a function of distance downstream from the contact has been observed in recent experiments [Phys. Rev. Lett. 105, 056803 (2010)]. Here we present an exact treatment of a minimal model for the system at filling factor ν=2, with results that account well for the observations.

8 pages, 6 figures, including 4 pages of supplementary material, final version as published

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• Interaction Quench in Nonequilibrium Luttinger Liquids
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• Collisional interferometry of Levitons in quantum Hall edge channels at $\nu =2$
• Entropy current and efficiency of quantum machines driven by nonequilibrium incoherent reservoirs
• Long-lived binary tunneling spectrum in a quantum-Hall Tomonaga-Luttinger liquid
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• Heat transport through quantum Hall edge states: Tunneling versus capacitive coupling to reservoirs
• Non-equilibrium effects on charge and energy partitioning after an interaction quench
• Statistical theory of relaxation of high energy electrons in quantum Hall edge states
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• Probing interactions via non-equilibrium momentum distribution and noise in integer quantum Hall systems at $\nu =2$
• Solution of a model for the two-channel electronic Mach-Zehnder interferometer
• Correlations in non-equilibrium Luttinger liquid and singular Fredholm determinants
• Current cross-correlations in a quantum Hall collider at filling factor two
• Interaction-induced charge transfer in a mesoscopic electron spectrometer
• Electronic wave-packets in integer quantum Hall edge channels: relaxation and dissipative effects
• Transient Features in Charge Fractionalization, Local Equilibration and Non-equilibrium Bosonization
• Measuring the Luttinger liquid parameter with shot noise
• Transmission and reflection of charge density waves in a quantum Hall edge controlled by a metal gate
• On-demand electron source with tunable energy distribution
• Charge-conserving equilibration of quantum Hall edge states
• Hybrid interacting quantum Hall thermal machine
• Optimizing energy conversion with nonthermal resources in steady-state quantum devices
• Suppression of the radiation squeezing in interacting quantum Hall edge channels
• Signature of anyonic statistics in the integer quantum Hall regime
• Nonequilibrium distribution functions in electron transport: Decoherence, energy redistribution and dissipation
• Dissipation and quantum noise in chiral circuitry