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Ultracold atoms confined to periodic potentials have proven to be a powerful tool for quantum simulation of complex many-body systems. We confine fermions to one-dimension to realize the Tomonaga-Luttinger liquid model describing the highly…

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

A system of one-dimensional electrons interacting via a short-range potential described by Hubbard model is considered in the regime of strong coupling using the Bethe ansatz approach. We study its momentum distribution function at zero…

Strongly Correlated Electrons · Physics 2022-03-31 O. Tsyplyatyev

At low temperature, collective excitations of one-dimensional (1D) interacting fermions exhibit spin-charge separation, a unique feature predicted by the Tomonaga-Luttinger liquid (TLL) theory, but a rigorous understanding remains…

Quantum Gases · Physics 2020-11-04 Feng He , Yu-Zhu Jiang , Hai-Qing Lin , Randall G. Hulet , Han Pu , Xi-Wen Guan

Spin-charge separation is known to be broken in many physically interesting one-dimensional (1D) and quasi-1D systems with spin-orbit interaction because of which spin and charge degrees of freedom are mixed in collective excitations. Mixed…

Strongly Correlated Electrons · Physics 2017-11-27 Yasha Gindikin , Vladimir A. Sablikov

One-dimensional (1D) quantum wires provide a versatile platform for studying strong electron-electron interactions and collective excitations under confinement. Coulomb drag between 1D systems offers a powerful probe of Tomonaga-Luttinger…

Mesoscale and Nanoscale Physics · Physics 2026-03-24 Mingyang Zheng , Rebika Makaju , Rasul Gazizulin , Alex Levchenko , Sadhvikas J. Addamane , Dominique Laroche

The natural excitations of an interacting one-dimensional system at low energy are hydrodynamic modes of Luttinger liquid, protected by the Lorentz invariance of the linear dispersion. We show that beyond low energies, where quadratic…

Determining the (bare) electron mass $m_0$ in crystals is often hindered by many-body effects since Fermi-liquid physics renormalises the band mass, making the observed effective mass $m^*$ depend on density. Here, we use a one-dimensional…

Mesoscale and Nanoscale Physics · Physics 2023-03-16 P. M. T. Vianez , Y. Jin , W. K. Tan , Q. Liu , J. P. Griffiths , I. Farrer , D. A. Ritchie , O. Tsyplyatyev , C. J. B. Ford

Interactions in one-dimensional (1D) electron systems are expected to cause a dynamical separation of electronic spin and charge degrees of freedom. A promising system for experimental observation of this non-Fermi-liquid effect consists of…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 U. Zuelicke , M. Governale

We study tunneling of weakly-interacting spinless electrons at zero temperature through a single delta-barrier in one-dimensional wires and rings of finite lengths. Our numerical calculations are based on the self-consistent Hartree-Fock…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Andrej Gendiar , Martin Mosko , Pavel Vagner , Radoslav Nemeth

We theoretically study a charge qubit interacting with electrons in a semi-infinite 1D wire. The system displays the physics of the Fermi edge singularity. Our results generalize known results for the Fermi-edge system to the regime where…

Strongly Correlated Electrons · Physics 2013-02-25 A. Sheikhan , I. Snyman

We have measured the collective excitation spectrum of interacting electrons in one-dimension. The experiment consists of controlling the energy and momentum of electrons tunneling between two clean and closely situated, parallel quantum…

Interactions between electrons in one-dimension are fully described at low energies by only a few parameters of the Tomonaga-Luttinger model which is based on linearisation of the spectrum. We consider a model of spinless fermions with a…

Strongly Correlated Electrons · Physics 2015-06-16 O. Tsyplyatyev , A. J. Schofield

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

The energy dependence of the relaxation rate of hot electrons due to interaction with the Fermi sea is studied. We consider 2D and 3D systems, quasi-1D quantum wires with multiple transverse bands, as well as single-channel 1D wires. Our…

Mesoscale and Nanoscale Physics · Physics 2018-05-29 M. Bard , I. V. Protopopov , A. D. Mirlin

We study a system of one-dimensional electrons in the regime of strong repulsive interactions, where the spin exchange coupling J is small compared with the Fermi energy, and the conventional Tomonaga-Luttinger theory does not apply. We…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 K. A. Matveev , A Furusaki , L. I. Glazman

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

The theoretical model of the short-range interacting Luttinger liquid predicts a power-law scaling of the density of states and the momentum distribution function around the Fermi surface, which can be readily tested through tunneling…

Strongly Correlated Electrons · Physics 2020-06-01 DinhDuy Vu , Anibal Iucci , Sankar Das Sarma

The low-energy excitations of a two-component repulsive Fermi gas confined to one dimension are linear dispersing spin- and charge-density waves whose respective propagation velocities depend on the strength and sign of their interaction.…

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
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