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We form a highly simplified model of an atomic wire on a surface by the coupling of two one-dimensional chains, one with electron-electron interactions to represent the wire and and one with no electron-electron interactions to represent…

Strongly Correlated Electrons · Physics 2009-11-07 L. K. Dash , A. J. Fisher

The electronic system of the 1D Hubbard model is not stable due to Peierls instability; the correlations are strong even for the weak Coulomb interaction. The resulting strongly correlated state without Landau quisi--particle excitations is…

Strongly Correlated Electrons · Physics 2017-07-07 N. I. Chashchin

A Hubbard-Luttinger model is developed for qualitative description of one-dimensional motion of interacting Pi-conductivity-electrons in carbon single-wall nanotubes at low temperatures. The low-lying excitations in one-dimensional electron…

Mesoscale and Nanoscale Physics · Physics 2015-07-17 H. A. Ishkhanyan , V. P. Krainov

The Luttinger Theorem, which relates the electron density to the volume of the Fermi surface in an itinerant electron system, is taken to be one of the essential features of a Fermi liquid. The microscopic derivation of this result depends…

Strongly Correlated Electrons · Physics 2018-09-17 O. J. Curtin , Y. Nishikawa , A. C. Hewson , D. J. G. Crow

Tunneling through a localized barrier in a one-dimensional interacting electron gas has been studied recently using Luttinger liquid techniques. Stable phases with zero or unit transmission occur, as well as critical points with universal…

Condensed Matter · Physics 2009-10-22 Eugene Wong , Ian Affleck

We study the ground state phase diagram of a one-dimensional hard-core bosonic model with nearest-neighbor interactions (XXZ model) where every site is coupled Ohmically to an independent but identical reservoir, hereby generalizing…

Strongly Correlated Electrons · Physics 2015-01-05 Zi Cai , Ulrich Schollwock , Lode Pollet

One of the most remarkable results of quantum mechanics is the fact that many-body quantum systems may exhibit phase transitions even at zero temperature. Quantum fluctuations, deeply rooted in Heisenberg's uncertainty principle, and not…

One-dimensional bosonic systems, such as helium confined to nanopores, exhibit Luttinger liquid behavior characterized by density waves as collective excitations. We investigate the impact of a scattering potential on a low dimensional…

Mesoscale and Nanoscale Physics · Physics 2026-05-22 Bernd Rosenow , Adrian Del Maestro

Luttinger's theorem is a fundamental result in the theory of interacting Fermi systems: it states that the volume inside the Fermi surface is left invariant by interactions, if the number of particles is held fixed. Although this is…

Strongly Correlated Electrons · Physics 2021-05-25 S. A. Parameswaran

We simulate a hard-sphere liquid in confined geometry where the separation of the two parallel, hard walls is smaller than two particle diameters. By systematically reducing the wall separation we analyze the behavior of structural and…

Soft Condensed Matter · Physics 2022-08-18 Gerhard Jung , Thomas Franosch

Luttinger liquids occupy a special place in physics as the most understood case of essentially quantum many-body systems. The experimental mission of measuring its main prediction, power laws in observable quantities, has already produced a…

We show that the zero temperature susceptibility of the one-dimensional, dimerized Hubbard model at quarter-filling can be accurately determined on the basis of exact diagonalization of small clusters. The best procedure is to perform a…

Condensed Matter · Physics 2016-08-31 Frederic Mila , Karlo Penc

Several ground state properties of the square-lattice $S=1/2$ Heisenberg antiferromagnet are computed (the energy, order parameter, spin stiffness, spinwave velocity, long-wavelength susceptibility, and staggered susceptibility) using…

Strongly Correlated Electrons · Physics 2026-04-16 Anders W. Sandvik

We study a lattice realization of a Luttinger liquid interacting with a bath of quantum spins in terms of an antiferromagnetic S=1/2 Heisenberg chain, where each spin is also coupled to a \sigma=1/2 Kondo spin degree of freedom. This model…

Strongly Correlated Electrons · Physics 2007-09-12 F. H. L. Essler , T. Kuzmenko , I. A. Zaliznyak

The room temperature ``metallic'' properties of the quasi-one-dimensional charge density wave system (TaSe4)2I differ markedly from those expected of either a Fermi or a Luttinger Liquid. We discuss evidence for the simplest possible…

Strongly Correlated Electrons · Physics 2015-06-25 Nic Shannon , Robert Joynt

Quantum Monte Carlo simulations are used to investigate the two-dimensional superfluid properties of the hard-core boson model, which show a strong dependence on particle density and disorder. We obtain further evidence that a half-filled…

Condensed Matter · Physics 2009-10-22 T. Onogi , Y. Murayama

Biased diffusion of two species with conserved dynamics on a 2xL periodic lattice is studied via Monte Carlo simulations. In contrast to its simple one-dimensional version on a ring, this quasi one-dimensional model surprisingly exhibits…

Statistical Mechanics · Physics 2009-10-31 G. Korniss , B. Schmittmann , R. K. P. Zia

It is shown that it is possible to quantitatively explain quantum Monte Carlo results for the Green's function of the two-dimensional Hubbard model in the weak to intermediate coupling regime. The analytic approach includes vertex…

Condensed Matter · Physics 2016-08-31 Y. M. Vilk , A. -M. S. Tremblay

One-dimensional quantum fluids are conventionally described by using an effective hydrodynamic approach known as Luttinger liquid theory. As the principal simplification, a generic spectrum of the constituent particles is replaced by a…

Strongly Correlated Electrons · Physics 2009-01-09 Adilet Imambekov , Leonid I. Glazman

Using path-integral Quantum Monte Carlo we study the low-temperature phase diagram of a two-dimensional superconductor within a phenomenological model, where vortices have a finite mass and move in a dissipative environment modeled by a…

Superconductivity · Physics 2009-10-31 A. Krämer , S. Doniach
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