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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 multichannel configurations. The authors 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, the authors investigate the effects of non-local couplings in drift-diffusion 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, the authors analyze 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.
List of contents
Introduction and Theoretical Foundations.- Introduction.- The Ohmic Contact.- Heat Transport and Dissipation in Quantum Systems.- The transmission line Dissipation.- Transmission line - Nonlocal effects.- Fluctuations, Non-Equilibrium Effects, and Future Directions.- Mesoscopic heat multiplier and fractionalizer.- Temperature fluctuations of QHE channels in the heat Coulomb blockade regime.- Outlook.- Summary.
About the author
Florian Stäbler is a physicist specializing in analytical techniques such as Bosonization, Langevin equations, and scattering theory. His research focuses on heat transport in systems with reduced dimensionality, exploring both equilibrium and non-equilibrium phenomena. By advancing the understanding of heat on a quantum scale, I contribute to foundational knowledge critical for innovations in nanoelectronics, precision metrology, and quantum technologies, including quantum computing. Beyond research, he actively collaborates on multidisciplinary projects, mentors aspiring scientists, and shares insights through presentations at international conferences.
