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Charge dynamics in quantum-Hall Tomonaga-Luttinger liquid

利正藤澤, T. Fujisawa

Jan 1, 20160 citations

Narrow-Channel Fractional Quantum Hall States and Their Projection into One Dimension — Non-Tomonaga-Luttinger-Liquid Behavior

D. Yoshioka, Masao Ogata

Springer series in solid-state sciencesJan 1, 19940 citations

Quantum correlations, entanglement spectrum in non-Hermitian Tomonaga–Luttinger liquids

L.S. Lima

Physica E Low-dimensional Systems and NanostructuresSep 3, 20251 citation

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

Kazuhisa Washio, Ryo Nakazawa, Masayuki Hashisaka +3 more

The existence of long-lived nonequilibrium states without showing thermalization, which has previously been demonstrated in time evolution of ultracold atoms, suggests the possibility of their spatial analog in transport behavior of interacting electrons in solid-state systems. Here we report long-lived nonequilibrium 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 nontrivial binary spectrum consisting of high- and low-temperature components. This unusual spectrum is sustained even after traveling 5--$10\ensuremath{\mu}\mathrm{m}$, much longer than the length for electronic relaxation (about 0.$1\ensuremath{\mu}\mathrm{m})$, 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 noninteracting plasmons, which are attractive for carrying information for a long distance.The existence of long-lived nonequilibrium states without showing thermalization, which has previously been demonstrated in time evolution of ultracold atoms, suggests the possibility of their spatial analog in transport behavior of interacting electrons in solid-state systems. Here we report long-lived nonequilibrium 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 nontrivial binary spectrum consisting of high- and low-temperature components. This unusual spectrum is sustained even after traveling 5--$10\ensuremath{\mu}\mathrm{m}$, much longer than the length for electronic relaxation (about 0.$1\ensuremath{\mu}\mathrm{m})$, 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 noninteracting plasmons, which are attractive for carrying information for a long distance.

arXiv:1601.05517Physical review. B./Physical review. BFeb 5, 201618 citations

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

和久鷲尾, Kazuhisa Washio, 遼中澤 +8 more

The existence of long-lived nonequilibrium states without showing thermalization, which has previously been demonstrated in time evolution of ultracold atoms, suggests the possibility of their spatial analog in transport behavior of interacting electrons in solid-state systems. Here we report long-lived nonequilibrium 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 nontrivial binary spectrum consisting of high- and low-temperature components. This unusual spectrum is sustained even after traveling 5–10μm, much longer than the length for electronic relaxation (about 0.1μm), 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 noninteracting plasmons, which are attractive for carrying information for a long distance.The existence of long-lived nonequilibrium states without showing thermalization, which has previously been demonstrated in time evolution of ultracold atoms, suggests the possibility of their spatial analog in transport behavior of interacting electrons in solid-state systems. Here we report long-lived nonequilibrium 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 nontrivial binary spectrum consisting of high- and low-temperature components. This unusual spectrum is sustained even after traveling 5–10μm, much longer than the length for electronic relaxation (about 0.1μm), 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 noninteracting plasmons, which are attractive for carrying information for a long distance.

Feb 1, 20160 citations

Pairing in Luttinger Liquids and Quantum Hall States

Ady Stern

Bulletin of the American Physical SocietyMar 16, 20170 citations

Long-lived non-equilibrium states in a quantum-Hall Tomonaga-Luttinger liquid

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