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Au-induced atomic wires on the Ge(001) surface were recently claimed to be an ideal 1D metal and their tunneling spectra were analyzed as the manifestation of a Tomonaga-Luttinger liquid (TLL) state. We reinvestigate this system for…

Strongly Correlated Electrons · Physics 2017-02-08 Jewook Park , Kan Nakatsuji , Tae-Hwan Kim , Sun Kyu Song , Fumio Komori , Han Woong Yeom

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…

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

Electronic waveguides in graphene formed by counterpropagating snake states in suitable inhomogeneous magnetic fields are shown to constitute a realization of a Tomonaga-Luttinger liquid. Due to the spatial separation of the right- and…

Mesoscale and Nanoscale Physics · Physics 2008-10-05 W. Häusler , A. De Martino , T. K. Ghosh , R. Egger

The model of interacting fermion systems in one dimension known as Tomonaga-Luttinger liquid (TLL) provides a simple and exactly solvable theoretical framework, predicting various intriguing physical properties. Evidence of TLL has been…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Hiroshi Kamata , Norio Kumada , Masayuki Hashisaka , Koji Muraki , Toshimasa Fujisawa

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

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

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

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

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

In this work we derive a new scheme to calculate Tomonaga-Luttinger liquid (TLL) parameters and holon (charge modes) velocities in a quasi-1D material that consists of two-leg ladders coupled through Coulomb interactions. Firstly, we obtain…

Strongly Correlated Electrons · Physics 2021-04-21 P. Chudzinski

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

One-dimensional (1D) systems and models provide a versatile platform for emergent phenomena induced by strong electron correlation. In this work, we extend the newly developed real space neural network quantum Monte Carlo methods to study…

Strongly Correlated Electrons · Physics 2024-12-02 Haoxiang Chen , Weiluo Ren , Xiang Li , Ji Chen

The Tomonaga-Luttinger-Liquid (TLL) has been the cornerstone of our understanding of the properties of one dimensional systems. This universal set of properties plays in one dimension, the same role than Fermi liquid plays for the higher…

Strongly Correlated Electrons · Physics 2015-06-16 Thierry Giamarchi

Tomonaga-Luttinger liquids (TLLs) can be used to effectively describe one-dimensional quantum many-body systems such as ultracold atoms, charges in nanowires, superconducting circuits, and gapless spin chains. Their properties are given by…

Statistical Mechanics · Physics 2022-01-21 Marek Gluza , Per Moosavi , Spyros Sotiriadis

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…

We discuss a platform for the synthetic realization of key physical properties of helical Tomonaga Luttinger liquids (HTLLs) with ultracold fermionic atoms in one-dimensional optical lattices. The HTLL is a strongly correlated metallic…

Quantum Gases · Physics 2015-12-17 J. C. Budich , C. Laflamme , F. Tschirsich , S. Montangero , P. Zoller

We study the formation of bound states in a one-dimensional, single-component Fermi chain with attractive interactions. The phase diagram, computed from DMRG (density matrix renormalization group), shows not only a superfluid of paired…

Strongly Correlated Electrons · Physics 2019-11-11 Yuchi He , Binbin Tian , David Pekker , Roger S. K. Mong

In one-dimensional conductors, interactions result in correlated electronic systems. At low energy, a hallmark signature of the so-called Tomonaga-Luttinger liquids (TLL) is the universal conductance curve predicted in presence of an…

Mesoscale and Nanoscale Physics · Physics 2013-05-06 S. Jezouin , M. Albert , F. D. Parmentier , A. Anthore , U. Gennser , A. Cavanna , I. Safi , F. Pierre

While Landau's Fermi liquid theory provides the standard description for two- and three-dimensional (2D/3D) conductors, the physics of interacting one-dimensional (1D) conductors is governed by the distinct Luttinger liquid (LL) theory. Can…

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