Scientific article
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Shot-Noise Thermometry of the Quantum Hall Edge States

Published inPhysical review letters, vol. 109, no. 24
Publication date2012
Abstract

We use the nonequilibrium bosonization technique to investigate the effects of the Coulomb interaction on quantum Hall edge states at a filling factor ν=2, partitioned by a quantum point contact (QPC). We find that, due to the integrability of charge dynamics, edge states evolve to a nonequilibrium stationary state with a number of specific features. In particular, the noise temperature Θ 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 nonanalytical function of the QPC transparency T and scales as Θ∝Tln(1/T) at T≪1. Our predictions are confirmed by exact numerical calculations.

Citation (ISO format)
LEVKIVSKYI, Ivan, SUKHORUKOV, Eugene. Shot-Noise Thermometry of the Quantum Hall Edge States. In: Physical review letters, 2012, vol. 109, n° 24. doi: 10.1103/PhysRevLett.109.246806
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Journal ISSN0031-9007
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