Heat current and noise in a point-like junction between normal metal and fractional quantum hall edge state with ν= 1/3
Abstract
In this study, we investigate heat current correlations between two edge states coupled through a constriction in the fractional quantum Hall regime at filling factor ν= 1/3. This configuration allows us to map the system onto an interacting Tomonaga-Luttinger liquid with a local impurity, where the interaction parameter takes the value κ= 1/2. This specific parameter value enables the application of the refermionization method. By solving the refermionized Hamiltonian, we compute the heat current and evaluate the finite-frequency heat auto- and cross-correlation functions. Our results reveal asymmetric behavior with frequency, corresponding to absorption and emission noise, respectively. Furthermore, we examine several limiting cases, including low- and high-temperature limits as well as strong- and weak-backscattering regimes. In the weak backscattering regime, the Lorenz number approaches 4L0 at high voltage, suggesting a rescaling of the Wiedemann-Franz law due to interactions. A detailed study of the heat current fluctuations has made it possible to identify and derive expressions for the dominant contribution in the various regimes of interest, and to reveal the predominance of partition noise.
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BibTeX
@misc{zamoum2026heat,
title = {{Heat current and noise in a point-like junction between normal metal and fractional quantum hall edge state with $ν= 1/3$}},
author = {Redouane Zamoum and Houssam Eddine Farhi and Abdellah Touati and Adeline Crépieux},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.31893},
eprint = {2610.31893},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.31893},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Heat current and noise in a point-like junction between normal metal and fractional quantum hall edge state with ν= 1/3
AU - Redouane Zamoum
AU - Houssam Eddine Farhi
AU - Abdellah Touati
AU - Adeline Crépieux
PY - 2026
DA - 2026/10/22
PB - arXiv
DO - 10.48550/arxiv.2610.31893
UR - https://arxiv.org/abs/2610.31893
AB - In this study, we investigate heat current correlations between two edge states coupled through a constriction in the fractional quantum Hall regime at filling factor ν= 1/3. This configuration allows us to map the system onto an interacting Tomonaga-Luttinger liquid with a local impurity, where the interaction parameter takes the value κ= 1/2. This specific parameter value enables the application of the refermionization method. By solving the refermionized Hamiltonian, we compute the heat current and evaluate the finite-frequency heat auto- and cross-correlation functions. Our results reveal asymmetric behavior with frequency, corresponding to absorption and emission noise, respectively. Furthermore, we examine several limiting cases, including low- and high-temperature limits as well as strong- and weak-backscattering regimes. In the weak backscattering regime, the Lorenz number approaches 4L_0 at high voltage, suggesting a rescaling of the Wiedemann-Franz law due to interactions. A detailed study of the heat current fluctuations has made it possible to identify and derive expressions for the dominant contribution in the various regimes of interest, and to reveal the predominance of partition noise.
ER -