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Haldane hypothesis about the universality of Luttinger liquid (LL) behavior in conducting one-dimensional (1D) fermion systems is checked numerically for spinless fermion model with next-nearest-neighbor interactions. It is shown that for…

Strongly Correlated Electrons · Physics 2009-10-31 A. K. Zhuravlev , M. I. Katsnelson

We devise an approach to the calculation of scaling dimensions of generic operators describing scattering within multi-channel Luttinger liquid. The local impurity scattering in an arbitrary configuration of conducting and insulating…

Strongly Correlated Electrons · Physics 2017-02-22 Igor V. Yurkevich

We study the problem of underscreened Kondo physics in an interacting electronic system modeled by a Luttiger Liquid (LL). We find that the leading temperature dependence of thermodynamical quantities like the specific heat, spin…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 P. Durganandini , Pascal Simon

Understanding non-Fermi liquids in dimensions higher than one, has been a subject of great interest. Such phases may serve as parent states for other unconventional phases of quantum matter, in a similar manner that conventional broken…

Strongly Correlated Electrons · Physics 2022-08-10 SangEun Han , Yong Baek Kim

A model of two interacting one--dimensional fermion systems (``Luttinger liquids'') coupled by single--particle hopping is investigated. Bosonization allows a number of exact statements to be made. In particular, for forward scattering…

Condensed Matter · Physics 2009-10-22 H. J. Schulz

We investigate the effect of the anisotropy between the s-wave scattering lengths of a three-component atomic Fermi gas loaded into a one-dimensional optical lattice. We find four different phases which support trionic instabilities made of…

Strongly Correlated Electrons · Physics 2009-11-09 P. Azaria , S. Capponi , P. Lecheminant

We study several aspects of the structure of vortices in conventional s-wave Type $II$ superconductors. It is well-known that there are low energy quasiparticles bound to the core of a vortex. We show that under certain conditions, these…

Superconductivity · Physics 2021-05-26 Ashvin Vishwanath , T. Senthil

We discuss the nature of the different ground states of the half-filled Holstein model of spinless fermions in 1D. In the metallic regime we determine the renormalised effective coupling constant and the velocity of the charge excitations…

Strongly Correlated Electrons · Physics 2007-05-23 H. Fehske , G. Wellein , G. Hager , A. Weisse , K. W. Becker , A. R. Bishop

An instability of a diffusive Fermi liquid, indicative of a metal-insulator transition (expected to be of first order), arising solely from the competition between quenched disorder and short-ranged interparticle interactions is identified…

Disordered Systems and Neural Networks · Physics 2009-11-11 Matthew S. Foster , Andreas W. W. Ludwig

For many years, the Luttinger liquid theory has served as a useful paradigm for the description of one-dimensional (1D) quantum fluids in the limit of low energies. This theory is based on a linearization of the dispersion relation of the…

Strongly Correlated Electrons · Physics 2012-09-18 Adilet Imambekov , Thomas L. Schmidt , Leonid I. Glazman

The emergent phases of strongly correlated spin-1/2 Fermi gases of Rydberg dressed atoms in a one dimensional optical lattice are theoretically investigated. At weak coupling a bosonization description is used to demonstrate the ability to…

Quantum Gases · Physics 2023-05-24 Junhyun Lee , Pavel A. Volkov , B. J. DeSalvo , J. H. Pixley

The Luttinger liquid model, which describes interacting electrons in a single-channel quantum wire, is completely integrable in the absence of disorder and as such does not exhibit any relaxation to equilibrium. We consider relaxation…

Mesoscale and Nanoscale Physics · Physics 2008-09-09 D. A. Bagrets , I. V. Gornyi , A. D. Mirlin , D. G. Polyakov

We study the dynamics resulting out of an abrupt change of the two-particle interaction in two models of closed one-dimensional Fermi systems: (a) the field theoretical Tomonaga-Luttinger model and (b) a microscopic lattice model. Using a…

Strongly Correlated Electrons · Physics 2013-10-23 D. M. Kennes , V. Meden

We derive a general set of Poor Man's scaling equations and analyze the stability of the Luttinger state in a system composed of a finite number N of one dimensional spinless fermionic chains, coupled through a general two body interaction.…

Strongly Correlated Electrons · Physics 2008-02-03 F. Vistulo de Abreu , B. Doucot

We consider a system of spinless fermions in a nearly one-dimensional cylindrical trap, with the Fermi level such that only the lowest-lying states with angular momenta l = +hbar, 0, or -hbar about the axis of the trap are occupied. We…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 B. Altschul

We consider two-component one-dimensional quantum gases at special imbalanced commensurabilities which lead to the formation of multimer (multi-particle bound-states) as the dominant order parameter. Luttinger liquid theory supports a…

Quantum Gases · Physics 2011-05-19 Guillaume Roux , Evgeni Burovski , Thierry Jolicoeur

We introduce a new model for quasi one-dimensional materials, motivated by intriguing but not yet well-understood experiments that have shown two-dimensional polymer films to be promising materials for thermoelectric devices. We consider a…

Strongly Correlated Electrons · Physics 2017-03-08 Aaron Szasz , Roni Ilan , Joel E. Moore

We are reporting a new non-Fermi liquid type normal phase that has a well defined Fermi energy, but without showing any non-regularity in the momentum distribution function in the whole momentum space, the sharp Fermi momentum concept being…

Strongly Correlated Electrons · Physics 2025-03-25 Zs. Gulacsi , I. Orlik

A quantum Monte Carlo simulation method has been developed and applied to study the critical behavior of a single Kondo impurity in a Luttinger liquid. This numerically exact method has no finite-size limitations and allows to simulate the…

Strongly Correlated Electrons · Physics 2009-10-30 Reinhold Egger , Andrei Komnik

Recent experiments in the underdoped regime of the hole-doped cuprates have found evidence for an incommensurate charge density wave state. We present an analysis of the charge ordering instabilities in a metal with antiferromagnetic…

Strongly Correlated Electrons · Physics 2014-12-23 Debanjan Chowdhury , Subir Sachdev