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  • Letter
  • Open Access

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, Piazza San Silvestro 12, I-56127 Pisa, Italy
  • 2SPIN-CNR, Via Dodecaneso 33, 16146 Genova, Italy
  • 3Theoretische Physik, Universität Duisburg-Essen and CENIDE, D-47048 Duisburg, Germany
  • 4Departamento de Física Teórica de la Materia Condensada, Condensed Matter Physics Center (IFIMAC), and Instituto Nicolás Cabrera, Universidad Autónoma de Madrid, 28049 Madrid, Spain

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Phys. Rev. Research 6, L012049 – Published 4 March, 2024

DOI: https://doi.org/10.1103/PhysRevResearch.6.L012049

Abstract

Nonlocal thermoelectricity is proposed as a direct probe of interactions, nonthermal states, and the effect of correlations in the nonequilibrium heat transport between 1D quantum channels. In copropagating quantum Hall edge states contacted at different temperatures, the nonlocal thermoelectrical response is only expected if the electron-electron interaction mediates the heat exchange directly measuring the interaction strength. Considering the low-energy limit of zero-range interactions, we analytically solve the charge and energy currents of a nonequilibrium interacting system, determining the universal scaling law in terms of an interaction-dependent energy-relaxation length. Further, a setup with two controllable quantum point contacts allows thermoelectricity to monitor the thermalization of an interacting system as well as the fundamental role of cross-correlations in the heat exchange at intermediate length scales.

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Phys. Rev. Research 6, L012049– Published 4 March, 2024
  • Received 21 July 2023
  • Revised 11 October 2023
  • Accepted 18 January 2024
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