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One-Channel Conductor in an Ohmic Environment: Mapping to a Tomonaga-Luttinger Liquid and Full Counting Statistics

2003/12/31 by Ines Safi, Inès Safi, Hubert Saleur · 5 citations
Engineering · Mathematics · Physics and Astronomy · #Advancements in Semiconductor Devices and Circuit Design #Channel (broadcasting) #Computer science #Condensed matter physics #Conductor #Coulomb #Coulomb blockade #Detector #Electron #Impurity #Infinity #Luttinger liquid #Materials science #Mathematical analysis #Mathematics #Mesoscopic physics #Ohmic contact #Optics #Physics #Quantum and electron transport phenomena #Quantum mechanics #Semiconductor Quantum Structures and Devices #Shot noise #Statistical physics #Statistics #Telecommunications #Transistor #Voltage #cond-mat.mes-hall #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.93.126602

5 pages, 2 figures, shortened version for publication in Phys. Rev. Lett

arxiv created 2004/06/14 · openalex publication_date 2004/09/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

It is shown that a one-channel coherent conductor in an Ohmic environment can be mapped to the impurity problem in a Tomonaga-Luttinger liquid. This allows one to determine nonperturbatively the effect of the environment on I-V curves, and to find an exact relationship between dynamic Coulomb blockade and shot noise. We investigate critically how this relationship compares to recent proposals in the literature. The full counting statistics is determined at zero temperature.

Citations

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