Revisiting the Physics of Hole-Conjugate Fractional Quantum Hall Channels

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Hauptverfasser: Glattli, D. Christian, Boudet, Charles, De, Avirup, Roulleau, Preden
Format: Preprint
Veröffentlicht: 2024
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author Glattli, D. Christian
Boudet, Charles
De, Avirup
Roulleau, Preden
author_facet Glattli, D. Christian
Boudet, Charles
De, Avirup
Roulleau, Preden
contents We revisit the physics of hole-conjugate Fractional Quantum Hall (FQH) phases characterized by counter-propagating edge channels at filling factors above 1/2. We propose a minimal and intuitive model that successfully accounts for all experimentally observed features, introducing a paradigm shift in the understanding of hole-conjugate edge channel dynamics. Our model identifies inter-channel charge equilibration as the sole essential mechanism, eliminating the need to invoke charge modes or upstream neutral modes, as posited in prior theoretical frameworks. By incorporating fictitious reservoirs along the edge, the model qualitatively and quantitatively reproduces key observations, including counterintuitive upstream effects previously misattributed to neutral modes. We provide predictions for electrical and thermal conductance as well as current noise for filling factors 2/3 and 3/5. Additionally, we address the case of non-dissipative reservoirs, which preserve conductance properties while exhibiting infinite thermal relaxation lengths
format Preprint
id arxiv_https___arxiv_org_abs_2407_07208
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Revisiting the Physics of Hole-Conjugate Fractional Quantum Hall Channels
Glattli, D. Christian
Boudet, Charles
De, Avirup
Roulleau, Preden
Mesoscale and Nanoscale Physics
We revisit the physics of hole-conjugate Fractional Quantum Hall (FQH) phases characterized by counter-propagating edge channels at filling factors above 1/2. We propose a minimal and intuitive model that successfully accounts for all experimentally observed features, introducing a paradigm shift in the understanding of hole-conjugate edge channel dynamics. Our model identifies inter-channel charge equilibration as the sole essential mechanism, eliminating the need to invoke charge modes or upstream neutral modes, as posited in prior theoretical frameworks. By incorporating fictitious reservoirs along the edge, the model qualitatively and quantitatively reproduces key observations, including counterintuitive upstream effects previously misattributed to neutral modes. We provide predictions for electrical and thermal conductance as well as current noise for filling factors 2/3 and 3/5. Additionally, we address the case of non-dissipative reservoirs, which preserve conductance properties while exhibiting infinite thermal relaxation lengths
title Revisiting the Physics of Hole-Conjugate Fractional Quantum Hall Channels
topic Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2407.07208