Nonlocal thermoelectric detection of interaction and correlations in
edge states
- URL: http://arxiv.org/abs/2307.09410v1
- Date: Tue, 18 Jul 2023 16:28:59 GMT
- Title: Nonlocal thermoelectric detection of interaction and correlations in
edge states
- Authors: Alessandro Braggio, Matteo Carrega, Bj\"orn Sothmann, Rafael S\'anchez
- Abstract summary: We propose the nonlocal thermoelectric response as a direct indicator of the presence of interactions, nonthermal states and the effect of correlations.
A setup with two controllable quantum point contacts allows thermoelectricity to monitor the interacting system thermalisation.
- Score: 62.997667081978825
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: 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.
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