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Related papers: Some experimental tests of Tomonaga-Luttinger liqu…

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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) 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

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

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

The concept of a Luttinger liquid has recently been established as a fundamental paradigm vital to our understanding of the properties of one-dimensional quantum systems, leading to a number of theoretical breakthroughs. Now theoretical…

Strongly Correlated Electrons · Physics 2010-07-28 Igor A. Zaliznyak

One dimensional metals are described by Luttinger liquid theory. Recent experiments have addressed the relation between this non-Fermi liquid behavior and the existence of a Fermi surface. We show that Luttinger's theorem, with few…

Strongly Correlated Electrons · Physics 2009-10-28 Krastan B. Blagoev , Kevin S. Bedell

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

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

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…

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

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

Quantum impurity problems in Tomonaga-Luttinger liquids (TLLs) are reviewed with emphasis on their analogy to the Kondo problem in Fermi liquids. First, the problem of a static impurity in a spinless TLL is considered, which is related to…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Akira Furusaki

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

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

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…

Motivated by recent developments in the field of plasmonics, we develop the theory of radiation from one-dimensional electron liquids, showing that the spectrum of thermal radiation emitted from the system exhibits signatures of non-Fermi…

Strongly Correlated Electrons · Physics 2019-06-19 Wade DeGottardi , Michael J. Gullans , Suraj Hedge , Smitha Vishveshwara , Mohammad Hafezi

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 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

We show that the one-dimensional (1D) electron systems can also be described by Landau's phenomenological Fermi-liquid theory. Most of the known results derived from the Luttinger-liquid theory can be retrieved from the 1D Fermi-liquid…

Strongly Correlated Electrons · Physics 2009-10-30 Yupeng Wang
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