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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) 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

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

We report that the conductance of macroscopic multiwall nanotube (MWNT) bundles under pressure shows power laws in temperature and voltage, as corresponding to a network of bulk-bulk connected Tomonaga-Luttinger Liquids (LL). Contrary to…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 M. Monteverde , M. Nunez-Regueiro , G. Garbarino , C. Acha , X. Jing , L. Lu , Z. W. Pan , S. S. Xie , J. Souletie , R. Egger

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

A simple set of algebraic equations is derived for the exact low-temperature thermodynamics of one-dimensional multi-component strongly attractive fermionic atoms with enlarged SU(N) spin symmetry and Zeeman splitting. Universal…

Quantum Gases · Physics 2010-09-14 X. W. Guan , J. -Y. Lee , M. T. Batchelor , X. -G. Yin , S. Chen

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

The paradigmatic state of a 1D collective metal, the Tomonaga-Luttinger liquid (TLL), offers us an exact analytic solution for a strongly interacting quantum system not only for infinite systems at zero temperature but also at finite…

Strongly Correlated Electrons · Physics 2024-12-23 Naira Grigoryan , Piotr Chudzinski

The Tomonaga-Luttinger liquid (TLL) concept is believed to generically describe the strongly-correlated physics of one-dimensional systems at low temperatures. A hallmark signature in 1D conductors is the quantum phase transition between…

Mesoscale and Nanoscale Physics · Physics 2018-12-14 A. Anthore , Z. Iftikhar , E. Boulat , F. D. Parmentier , A. Cavanna , A. Ouerghi , U. Gennser , F. Pierre

Tomonaga-Luttinger-liquid theory is formulated for metallic carbon nanotubes with open boundaries. Both cases of single- and multi-wall nanotubes are discussed. Based on this theory, spatial variation of the charge density from an edge is…

Strongly Correlated Electrons · Physics 2015-06-24 H. Yoshioka , Y. Okamura

The low-energy physics of Tomonaga-Luttinger liquids (TLLs) is controlled by the Luttinger parameter. We demonstrate that this parameter can be extracted from a single wave function for one-component TLLs with periodic boundary condition.…

Strongly Correlated Electrons · Physics 2025-02-21 Bi-Yang Tan , Yueshui Zhang , Hua-Chen Zhang , Wei Tang , Lei Wang , Hong-Hao Tu , Ying-Hai Wu

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

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…

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…

The electronic states in isolated single-wall carbon nanotubes (SWCNTs) have been considered as an ideal realization of a Tomonaga-Luttinger liquid (TLL). However, it remains unclear whether one-dimensional correlated states are realized…

Strongly Correlated Electrons · Physics 2017-01-20 Noboru Serita , Yusuke Nakai , Kazuyuki Matsuda , Kazuhiro Yanagi , Yasumitsu Miyata , Takeshi Saito , Yutaka Maniwa

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 present a detailed theoretical investigation of transport through a single-walled carbon nanotube (SWNT) in good contact to metal leads where weak backscattering at the interfaces between SWNT and source and drain reservoirs gives rise…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Patrik Recher , Na Young Kim , Yoshihisa Yamamoto

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 experimentally investigate the quantum criticality and Tomonaga-Luttinger liquid (TLL) behavior within one-dimensional (1D) ultracold atomic gases. Based on the measured density profiles at different temperatures, the universal scaling…

The one-dimensional (1D) Yang-Gaudin model-an integrable $\delta$-function interacting Fermi gas, serves as a paradigm in quantum many-body physics, encompassing phenomena from spin-charge separation to the Luther-Emery liquid. However, a…

Quantum Gases · Physics 2026-03-17 Hai-Ying Cui , Yu-Hao Yeh , Randall G. Hulet , Han Pu , Thierry Giamarchi , Xi-Wen Guan
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