Dissipation, Interactions, and Heat Transport in Quantum Hall Devices: Non-equilibrium Bosonization of Quasi-one-dimensional Systems

Diplôme Thèse Dissipation, Interactions, and Heat Transport in Quantum Hall Devices: Non-equilibrium Bosonization of Quasi-one-dimensional Systems eng 2024 2024 author Stabler Florian 940445 Département de physique théorique (FITEO) director Sukhorukov Eugene 134361 Département de physique théorique (FITEO) 175 10.13097/archive-ouverte/unige:177681 urn:nbn:ch:unige-1776812 Sc. 5819 This thesis investigates the behavior of Ohmic contacts (OCs) within quantum hall edge systems, examining their significance in quantum transport phenomena across four different projects. This work includes a review of established findings on the OC, revisiting the heat Coulomb blockade in both single and multi-channel configurations. We suggest the OC as a model within a transmission line (TL) framework to tackle dissipation potentially stemming from microscopic disorder, addressing the “missing heat” paradox and questioning prevailing theories on energy dissipation. Moreover, we investigate the effects of non-local couplings in driftdiffusion systems, demonstrating how they circumvent equilibrium constraints in a single edge state to facilitate heat transfer through correlations caused by interactions. The thesis examines OCs with self-looping edge states to analyze states similar to those in non-local TL systems, uncovering intriguing properties such as anomalous correlation functions and altered electrical and thermal response coefficients. Using a Langevin-like method, we analyse the impact of the heat Coulomb blockade on heat noise power and temperature fluctuations, showing that the temperature-temperature correlation function in equilibrium takes on a universal form and uncovering non-Gaussian Full Counting Statistics in transmitted charge as a result of temperature fluctuations. Lastly, this thesis sets the groundwork for future studies, offering a collection of ideas and projects for further exploration, aiming to contribute as a valuable resource for ongoing and future research in quantum transport phenomena. In a broader context, this thesis significantly enhances our comprehension of correlations and heat transport within interacting low-dimensional systems, paving the way for advancements in electronics miniaturization, precision metrology, and the realization of quantum information technologies. Ohmic contacts Mesoscopic Physics Correlated States Quantum Hall Edge states Transport Dewey 500.2 37 Département de physique théorique 133 false 799 Groupe Sukhorukov a84b5f0a-74f3-422c-9b87-f373786e3864 Thesis Public thesis_subm_240607.pdf 3208086 application/pdf Restricted 2024-12-30 2f6859fdbe1234b74f8d87dda3f1fe326c0f3dc47aba255f3cfad52fb6a79904 b48df6b5-8bb4-4286-bb24-8dbc172769a8 Imprimatur Public imprimatur_.pdf 420492 application/pdf 234b4641380f6def8383601ffc238b6af8d958b3ba60699ef5006e37806ceda5 Vignette Public ohmic_multi.png 98803 image/png openAccess Faculté des sciences / Section de physique / Département de physique théorique

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Dissipation, Interactions, and Heat Transport in Quantum Hall Devices: Non-equilibrium Bosonization of Quasi-one-dimensional Systems				2024	395	238

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Stabler, Florian

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