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We investigate charge fractionalizations in artificial Tomonaga-Luttinger liquids (TLLs) composed of two capacitively coupled quantum Hall edge channels (ECs) in graphene. The interaction strength of the artificial TLLs can be controlled…

Strongly Correlated Electrons · Physics 2017-08-16 Paul Brasseur , Ngoc Han Tu , Yoshiaki Sekine , Koji Muraki , Masayuki Hashisaka , Toshimasa Fujisawa , Norio Kumada

The recent observation of charge fractionalization in single Tomanga-Luttinger liquids (TLLs) [Kamata et al., Nature Nanotech., 9 177 (2014)] opens new routes for a systematic investigation of this exotic quantum phenomenon. In this Letter…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 E. Perfetto , G. Stefanucci , H. Kamata , T. Fujisawa

In a one-dimensional (1D) system of interacting electrons, excitations of spin and charge travel at different speeds, according to the theory of a Tomonaga-Luttinger Liquid (TLL) at low energies. However, the clear observation of this…

Strongly Correlated Electrons · Physics 2010-02-16 Y. Jompol , C. J. B. Ford , J. P. Griffiths , I. Farrer , G. A. C. Jones , D. Anderson , D. A. Ritchie , T. W. Silk , A. J. Schofield

In contrast to a free electron system, a Tomonaga-Luttinger (TL) liquid in a one dimensional (1D) electron system hosts charge and spin excitations as independent entities. When an electron wave packet is injected into a TL liquid, it…

Mesoscale and Nanoscale Physics · Physics 2017-04-11 Masayuki Hashisaka , Naoaki Hiyama , Takafumi Akiho , Koji Muraki , Toshimasa Fujisawa

Dynamics of the 1D electron transport between two reservoirs are studied based on the inhomogeneous Tomonaga- Luttinger Liquid (ITLL) model in the case when the effect of the electron backscattering on the impurities is negligible. The…

Condensed Matter · Physics 2015-06-25 Vadim Ponomarenko

The Tomonaga-Luttinger liquid (TLL) theory describes the low-energy excitations of strongly correlated one-dimensional (1D) fermions. In the past years, a number of studies have provided a detailed understanding of this universality class.…

Quantum Gases · Physics 2023-06-05 Danyel Cavazos-Cavazos , Ruwan Senaratne , Aashish Kafle , Randall G. Hulet

In one-dimensional (1D) electron systems, the Fermi liquid state breaks down due either to electron interactions, which results in a Tomonaga-Luttinger liquid (TLL) state, or to Peierls instability, which leads to an insulating…

Interactions between electrons in solids are often behind exciting novel effects such as ferromagnetism, antiferromagnetism and superconductivity. All these phenomena break away from the single-electron picture, instead having to take into…

Strongly Correlated Electrons · Physics 2022-07-05 P. M. T. Vianez , O. Tsyplyatyev , C. J. B. Ford

Quantum fluctuations can disrupt long-range order in one-dimensional systems, and replace it with the universal paradigm of the Tomonaga-Luttinger liquid (TLL), a critical phase of matter characterized by power-law decaying correlations and…

Tomonaga-Luttinger liquid (TLL) theory is a canonical formalism used to describe one-dimensional (1D) metals, where the low energy physics is determined by collective bosonic excitations. In this work, we present a theoretical model to…

Materials Science · Physics 2024-12-13 Naira Grigoryan , Piotr Chudzinski

The concept of a Tomonaga-Luttinger liquid (TLL) has been established as a fundamental theory for the understanding of one-dimensional quantum systems. Originally formulated as a replacement for Landau's Fermi-liquid theory, which…

Strongly Correlated Electrons · Physics 2025-10-01 Isabelle Bouchoule , Roberta Citro , Tim Duty , Thierry Giamarchi , Randall G. Hulet , Martin Klanjsek , Edmond Orignac , Bent Weber

We investigate tunneling between two spinful Tomonaga-Luttinger liquids (TLLs) realized, e.g., as two crossed nanowires or quantum Hall edge states. When injecting into each TLL one electron of opposite spin, the dc current measured after…

Mesoscale and Nanoscale Physics · Physics 2015-01-05 Alexander Schroer , Bernd Braunecker , Alfredo Levy Yeyati , Patrik Recher

We investigate the generic transport in a one-dimensional strongly correlated fermionic chain beyond linear response. Starting from a Gaussian wave packet with positive momentum on top of the ground state, we find that the numerical time…

Strongly Correlated Electrons · Physics 2025-07-24 Flávia B. Ramos , Rodrigo G. Pereira , Sebastian Eggert , Imke Schneider

Tomonaga-Luttinger liquid (TLL) behavior in one-dimensional systems has been predicted and shown to occur at semiconductor-to-metal transitions within two-dimensional materials. Reports of one-dimensional defects hosting a Fermi liquid or a…

We discuss the conductance of quantum wires (QW) in terms of the Tomonaga-Luttinger liquid (TLL) theory. We use explicitly the charge fractionalization scheme which results from the chiral symmetry of the model. We suggest that results of…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 K. -I. Imura , K. -V. Pham , P. Lederer , F. Piechon

In one-dimensional (1D) systems, electronic interactions lead to a breakdown of Fermi liquid theory and the formation of a Tomonaga-Luttinger Liquid (TLL). The strength of its many-body correlations can be quantified by a single…

One-dimensional metals, such as quantum wires or carbon nanotubes, can carry charge in arbitrary units, smaller or larger than a single electron charge. However, according to Luttinger theory, which describes the low-energy excitations of…

Strongly Correlated Electrons · Physics 2025-12-31 Karyn Le Hur , Bertrand I. Halperin , Amir Yacoby

An electron is usually considered to have only one form of kinetic energy, but could it have more, for its spin and charge, by exciting other electrons? In one dimension (1D), the physics of interacting electrons is captured well at low…

We report on the Tomonaga-Luttinger liquid (TLL) behavior in fully degenerate 1D Dirac fermions. A ternary van der Waals material Nb$_9$Si$_4$Te$_{18}$ incorporates in-plane NbTe$_2$ chains, which produce a 1D Dirac band crossing Fermi…

Strongly Correlated Electrons · Physics 2023-09-06 Qirong Yao , Hyunjin Jung , Kijeong Kong , Chandan De , Jaeyoung Kim , Jonathan D. Denlinger , Han Woong Yeom

A Tomonaga-Luttinger (TL) liquid is known as an integrable system, in which a non-equilibrium many-body state survives without relaxing to a thermalized state. This intriguing characteristic is tested experimentally in copropagating quantum…

Mesoscale and Nanoscale Physics · Physics 2018-04-10 Kosuke Itoh , Ryo Nakazawa , Tomoaki Ota , Masayuki Hashisaka , Koji Muraki , Toshimasa Fujisawa
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