Nonlocal thermoelectric detection of interaction and correlations in edge states

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.

5 pages, 4 figures, Supplementary

References in corpus (17)

• Quantum limit of heat flow across a single electronic channel
• Optimal energy quanta to current conversion
• Chiral thermoelectrics with quantum Hall edge states
• Novel method distinguishing between competing topological orders
• Vanishing thermal equilibration for hole-conjugate fractional quantum Hall states in graphene
• Bipolar Thermoelectric Josephson Engine
• Absent thermal equilibration on fractional quantum Hall edges over macroscopic scale
• Environmental induced renormalization effects in quantum Hall edge states
• Heat equilibration of integer and fractional quantum Hall edge modes in graphene
• Nonlocal quantum heat engines made of hybrid superconducting devices
• Spectroscopic study on hot-electron transport in a quantum Hall edge channel
• Ballistic hot-electron transport in a quantum Hall edge channel defined by a double gate
• Microwave-assisted thermoelectricity in SIS' tunnel junctions
• Non-thermal Tomonaga-Luttinger liquid eventually emerging from hot electrons in the quantum Hall regime
• Topological Josephson Junctions in the Integer Quantum Hall Regime
• Non-uniform heat redistribution among multiple channels in the integer quantum Hall regime
• Thermal Transport Imaging in the Quantum Hall Edge Channel

Cited by in corpus (6)

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• Scattering theory of thermal and bipolar thermoelectric diodes
• Quantum thermocouples: nonlocal conversion and control of heat in nanostructures
• $\Delta T$-noise in Multiterminal Hybrid Systems
• Hybrid interacting quantum Hall thermal machine