Berlin 2024 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 3: Topology: Quantum Hall Systems
TT 3.2: Talk
Monday, March 18, 2024, 09:45–10:00, H 2053
Nonlocal thermoelectric detection of interaction and correlations in edge states — Alessandro Braggio1, Matteo Carrega2, •Björn Sothmann3, and Rafael Sánchez4 — 1NEST, Istituto Nanoscienze-CNR and Scuola Normale Superiore, I-56127 Pisa, Italy — 2SPIN-CNR, 16146 Genova, Italy — 3Theoretische Physik, Universität Duisburg-Essen and CENIDE, D-47048 Duisburg, Germany — 4Departamento de Física Teórica de la Materia Condensada, IFIMAC, and Instituto Nicolás Cabrera, Universidad Autónoma de Madrid, 28049 Madrid, Spain
We investigate nonequilibrium effects in the transport of interacting electrons in quantum conductors, proposing the nonlocal thermoelectric response as a direct indicator of the presence of interactions, nonthermal states and the effect of correlations. This is done by assuming a quantum Hall setup where two channels (connected to reservoirs at different temperatures) co-propagate for a finite distance, such that a thermoelectrical response is only expected if the electron-electron interaction mediates heat exchange between the channels. This way, the nonlocal Seebeck response measures the interaction strength. Considering zero-range interactions, we solve the charge and energy currents and noises of a non-equilibrium integrable interacting system, determining the universal interaction-dependent length scale of energy equilibration. Further, a setup with two controllable quantum point contacts allows thermoelectricity to monitor the interacting system thermalisation as well as the fundamental role of cross-correlations in the heat exchange at intermediate length scales.
Keywords: Thermoelectrics; Quantum Hall effect; Coulomb interaction