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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

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…

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 investigate the physical properties of quasi-1D quantum gases of fermion atoms confined in harmonic traps. Using the fact that for a homogeneous gas, the low energy properties are exactly described by a Luttinger model, we analyze the…

Soft Condensed Matter · Physics 2009-11-07 A. Recati , P. O. Fedichev , W. Zwerger , P. Zoller

We discuss the properties of quasi-1D quantum gases of fermionic atoms using the Luttinger liquid theory, including the presence of an optical lattice and of a longitudinal trapping potential. We analyze in particular the nature and…

Strongly Correlated Electrons · Physics 2018-03-14 A. Recati , P. O. Fedichev , W. Zwerger , P. Zoller

We develop a nonperturbative zero-temperature theory for the dynamic response functions of interacting one-dimensional spin-1/2 fermions. In contrast to the conventional Luttinger liquid theory, we take into account the nonlinearity of the…

Strongly Correlated Electrons · Physics 2010-12-16 Thomas L. Schmidt , Adilet Imambekov , Leonid I. Glazman

We study an atomic Fermi gas interacting through repulsive contact forces in a one dimensional harmonic trap. Bethe-Ansatz solutions lead to an inhomogeneous Tomonaga-Luttinger model for the low energy excitations. The equations of motion…

Strongly Correlated Electrons · Physics 2007-05-23 Lars Kecke , Hermann Grabert , Wolfgang Häusler

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

Using the adaptive time-dependent density-matrix renormalization group method for the 1D Hubbard model, the splitting of local perturbations into separate wave packets carrying charge and spin is observed in real-time. We show the…

Other Condensed Matter · Physics 2007-05-23 C. Kollath , U. Schollwoeck , W. Zwerger

A model with a singular forward scattering amplitude for particles with opposite spins in d spatial dimensions is proposed and solved by using the bosonization transformation. This interacting potential leads to the spin-charge separation.…

Condensed Matter · Physics 2009-10-28 Krzysztof Byczuk , Jozef Spalek

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

It is well established that at low energies one-dimensional (1D) fermionic systems are described by the Luttinger liquid (LL) theory, that predicts phenomena like spin-charge separation, and charge fractionalization into chiral modes. Here…

Strongly Correlated Electrons · Physics 2013-02-06 A. Moreno , A. Muramatsu , J. M. P. Carmelo

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.…

Low-energy spin and charge excitations of one-dimensional interacting fermions are completely decoupled and propagate with different velocities. These modes however can decay due to several possible mechanisms. In this paper we expose a new…

Strongly Correlated Electrons · Physics 2007-06-28 Marco Polini , Giovanni Vignale

We combine the first-quantized path-integral formalism and bosonization to develop a phenomenological theory for spin-charge coupled dynamics in one-dimensional (1D) ferromagnetic systems with strong interparticle repulsion, at low…

Strongly Correlated Electrons · Physics 2008-10-08 Shimul Akhanjee , Yaroslav Tserkovnyak

We study the transport properties of a one-dimensional spinful Fermi gas, after junction of two semi-infinite sub-systems held at different temperatures. The ensuing dynamics is studied by analysing the space-time profiles of local…

Quantum Gases · Physics 2019-01-18 Márton Mestyán , Bruno Bertini , Lorenzo Piroli , Pasquale Calabrese

The problem of spin-charge separation is analyzed numerically in the metallic phase of the one-band Hubbard model in one dimension by studying the behavior of the single-particle Green's function and of the spin and charge susceptibilities.…

Strongly Correlated Electrons · Physics 2009-10-30 M. G. Zacher , E. Arrigoni , W. Hanke , J. R. Schrieffer

In contrast to the well known Fermi liquid theory of three dimensions, interacting one-dimensional and quasi one-dimensional systems of fermions are described at low energy by an effective theory known as Luttinger liquid theory. This…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 Gregory A. Fiete

Recent ultracold atomic gas experiments implementing synthetic spin-orbit coupling allow access to flatbands that emphasize interactions. We model spin-orbit coupled fermions in a one-dimensional flatband optical lattice. We introduce an…

Quantum Gases · Physics 2014-06-10 Fei Lin , Chuanwei Zhang , V. W. Scarola

We revisit the problem of dynamical response in spin-charge separated one dimensional quantum fluids. In the framework of Luttinger liquid theory, the dynamical response is formulated in terms of noninteracting bosonic collective…

Strongly Correlated Electrons · Physics 2015-07-01 F. H. L. Essler , R. G. Pereira , I. Schneider
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