Long-lived binary tunneling spectrum in a quantum-Hall Tomonaga-Luttinger liquid

Abstract

The existence of long-lived non-equilibrium states without showing thermalization, which has previously been demonstrated in time evolution of ultracold atoms, suggests the possibility of their spatial analogue in transport behavior of interacting electrons in solid-state systems. Here we report long-lived non-equilibrium states in one-dimensional edge channels in the integer quantum Hall regime. An indirect heating scheme in a counterpropagating configuration is employed to generate a non-trivial binary spectrum consisting of high- and low-temperature components. This unusual spectrum is sustained even after travelling 5 - 10 μm, much longer than the length for electronic relaxation (about 0.1 μm), without showing significant thermalization. This observation is consistent with the integrable model of Tomonaga-Luttinger liquid. The long-lived spectrum implies that the system is well described by non-interacting plasmons, which are attractive for carrying information for a long distance.

13 pages, 10 figures

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Cited by in corpus (10)

• Waveform measurement of charge- and spin-density wave packets in a Tomonaga-Luttinger liquid
• Shaping charge excitations in chiral edge states with a time-dependent gate voltage
• Spectroscopic study on hot-electron transport in a quantum Hall edge channel
• Fluctuation dissipation relations for strongly correlated out-of-equilibrium circuits
• Quantized charge fractionalization at quantum Hall Y junctions in the disorder-dominated regime
• Universal scaling of quench-induced correlations in a one-dimensional channel at finite temperature
• Nonlocal thermoelectric detection of interaction and correlations in edge states
• Non-thermal Tomonaga-Luttinger liquid eventually emerging from hot electrons in the quantum Hall regime
• Non-uniform heat redistribution among multiple channels in the integer quantum Hall regime
• Efficient heat-energy conversion from a non-thermal Tomonaga-Luttinger liquid