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Dephasing due to a fluctuating fractional quantum Hall edge current

2007/04/11 by T. K. T. Nguyen, Adeline Crépieux, Nguyen, T. K. T +8
Chemistry · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Quantum and electron transport phenomena #Topological Materials and Phenomena

paper · pdf · doi:10.48550/arxiv.0704.1443

openalex publication_date 2007/04/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The dephasing rate of an electron level in a quantum dot, placed next to a fluctuating edge current in the fractional quantum Hall effect, is considered. Using perturbation theory, we first show that this rate has an anomalous dependence on the bias voltage applied to the neighboring quantum point contact, because of the Luttinger liquid physics which describes the fractional Hall fluid. Next, we describe exactly the weak to strong backscattering crossover using the Bethe-Ansatz solution.

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