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We study the density disturbance of a correlated 1D electron liquid in the presence of a scatterer or a barrier. The 2k_F-periodic density profile away from the barrier (Friedel oscillation) is computed for arbitrary electron--electron…

Condensed Matter · Physics 2007-05-23 Reinhold Egger , Hermann Grabert

We numerically study Friedel Oscillations and screening effect around a single impurity in one- and two-dimensional interacting lattice electrons. The interaction between electrons is accounted for by using a momentum independent…

Strongly Correlated Electrons · Physics 2015-06-05 Banhi Chatterjee , Krzysztof Byczuk

We show how to analytically determine for $g\leq 1/2$ the "Friedel oscillations" of charge density by a single impurity in a 1D Luttinger liquid of spinless electrons.

Condensed Matter · Physics 2009-10-28 F. Lesage , H. Saleur

We introduce a path-integral approach that allows to compute charge density oscillations in a Luttinger liquid with impurities. We obtain an explicit expression for the envelope of Friedel oscillations in the presence of arbitrary…

Strongly Correlated Electrons · Physics 2009-10-31 Victoria I. Fernández , Carlos M. Naón

We study the asymptotic decay of the Friedel density oscillations induced by an open boundary in a one-dimensional chain of lattice fermions with a short-range two-particle interaction. From Tomonaga-Luttinger liquid theory it is known that…

Strongly Correlated Electrons · Physics 2020-06-24 Jovan Odavić , Nicole Helbig , Volker Meden

The Friedel oscillations caused due to an impurity located at one edge of a disordered interacting quantum wire are calculated numerically. The electron density in the system's ground state is determined using the DMRG method, and the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Y. Weiss , M. Goldstein , R. Berkovits

When immersed in a see of cold electrons, local impurities give rise to density modulations known as Friedel oscillations. In spite of the generality of this phenomenon, the exact shape of these modulations is usually computed only for…

Strongly Correlated Electrons · Physics 2016-05-12 Emanuele G. Dalla Torre , David Benjamin , Yang He , David Dentelski , Eugene Demler

The Friedel oscillations in the vicinity of a Friedel-Anderson (FA) impurity are investigated numerically. For an FA impurity in the local moment limit the normalized amplitude A({\xi}) is S-shaped, approximately zero at short distances,…

Strongly Correlated Electrons · Physics 2015-05-30 Yaqi Tao , Gerd Bergmann

Understanding the effects of nonequilibrium on strongly interacting quantum systems is a challenging problem in condensed matter physics. In dimensions greater than one, interacting electrons can often be understood within Fermi-liquid…

Strongly Correlated Electrons · Physics 2015-05-14 So Takei , Mirco Milletari' , Bernd Rosenow

We study how well-known effects of the long-ranged Friedel oscillations are affected by strong electronic correlations. We first show that their range and amplitude are significantly suppressed in strongly renormalized Fermi liquids. We…

Strongly Correlated Electrons · Physics 2010-06-10 E. C. Andrade , E. Miranda , V. Dobrosavljevic

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

We analyze the spectrum of electron density oscillations in an interacting one-dimensional electron system with an impurity. The system's inhomogeneity is characterized by different values of Fermi wave vectors $k_F=k_{L/R}$ on left/right…

Mesoscale and Nanoscale Physics · Physics 2008-05-19 D. F. Urban , A. Komnik

A model of interacting one--dimensional fermions confined to a harmonic trap is proposed. The model is treated analytically to all orders of the coupling constant by a method analogous to that used for the Luttinger model. As a first…

Quantum Physics · Physics 2009-11-06 W. Wonneberger

A single impurity in the 1D Luttinger model creates a local modification of the charge density analogous to the Friedel oscillations. In this paper, we present an exact solution of the case $g={1\over 2}$ (the equivalent of the Toulouse…

Condensed Matter · Physics 2009-10-28 A. Leclair , F. Lesage , H. Saleur

We study interference patterns and Friedel oscillations (FO) due to scattering from two or more localized impurities and scattering from extended inhomogeneities in the two-dimensional lattice systems of interacting fermions. Correlations…

Strongly Correlated Electrons · Physics 2022-07-13 Banhi Chatterjee , Jan Skolimowski , Krzysztof Byczuk

The spinless fermion model with hard core repulsive potential extended on a few lattice sites is considered.The Luttinger liquid behaviour is studied for the different values of a hard core radius. A critical exponent of the one particle…

Strongly Correlated Electrons · Physics 2009-11-07 Igor N. Karnaukhov , Alexander A. Ovchinnikov

The exponentially strong damping of the conventional Friedel oscillations at elevated temperature T as well as due to disorder poses a severe problem to the Hume-Rothery (HR) stabilization mechanism of amorphous and quasicrystalline alloys.…

Strongly Correlated Electrons · Physics 2008-02-03 Johann Kroha

We show that quantum correlations induced by electron-electron interactions in the presence of random impurity scattering can play an important role in the thermal stabilization of amorphous Hume-Rothery systems: When there is strong…

Materials Science · Physics 2009-10-31 Johann Kroha

We study theoretically the transport through a single impurity in a one-channel Luttinger liquid coupled to a dissipative (ohmic) bath . For non-zero dissipation $\eta$ the weak link is always a relevant perturbation which suppresses…

Mesoscale and Nanoscale Physics · Physics 2008-07-04 Zoran Ristivojevic , Thomas Nattermann

We have shown that the electron transport through junctions of one-dimensional and two-dimensional systems, as well as through quantum point contacts, is considerably affected by the interaction of electrons of different subbands. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 V. A. Sablikov
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