Shot noise thermometry of the quantum Hall edge states

Abstract

We use the non-equilibrium bosonization technique to investigate effects of the Coulomb interaction on quantum Hall edge states at filing factor nu=2, partitioned by a quantum point contact (QPC). We find, that due to the integrability of charge dynamics, edge states evolve to a non-equilibrium stationary state with a number of specific features. In particular, the noise temperature of a weak backscattering current between edge channels is linear in voltage bias applied at the QPC, independently of the interaction strength. In addition, it is a non-analytical function of the QPC transparency T and scales as Tln(1/T) at T<< 1. Our predictions are confirmed by exact numerical calculations.

5 pages, 3 figures

References in corpus (7)

• Direct measurement of the coherence length of edge states in the Integer Quantum Hall Regime
• Dephasing in the electronic Mach-Zehnder interferometer at filling factor 2
• Tuning Energy Relaxation along Quantum Hall Channels
• Edge Channel Interference Controlled by Landau Level Filling
• Resonant dephasing in the electronic Mach-Zehnder interferometer
• Energy relaxation at quantum Hall edge
• Fractionalization noise in edge channels of integer quantum Hall states

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