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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 analyze the spin- and charge-density oscillations near impurities in spin chains and quantum wires. These so-called Friedel oscillations give detailed information about the impurity and also about the interactions in the system. The…

Strongly Correlated Electrons · Physics 2009-10-31 Stefan Rommer , Sebastian Eggert

We study Friedel oscillations in one-dimensional electron liquid for arbitrary electron-electron interaction and arbitrary impurity strength. For Luttinger liquid leads, the Friedel oscillations decay as x^-g far away from the impurity,…

Condensed Matter · Physics 2009-10-28 Reinhold Egger , Hermann Grabert

We investigate the local density of states and Friedel oscillation in graphene around a well localized impurity in Born approximation. In our analytical calculations Green's function technique has been used taking into account both the…

Mesoscale and Nanoscale Physics · Physics 2010-11-23 Ádám Bácsi , Attila Virosztek

We study the spatial decay of electron coherence due to electron-electron interaction in a finite-length disorder-free quantum wire. Based on the Luttinger liquid theory, we demonstrate that the coherence length characterizing the…

Mesoscale and Nanoscale Physics · Physics 2009-01-20 Jaeuk U. Kim , W. -R. Lee , Hyun-Woo Lee , H. -S. Sim

Finite size effects in the localization properties of disordered quantum wires are analyzed through conductance calculations. Disorder is induced by introducing vacancies at random positions in the wire and thus preserving the chiral…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 G. Chiappe , M. J. Sánchez

We calculate the density of states for an interacting quantum wire in the presence two impurities of arbitrary potential strength. To perform this calculation, we describe the Coulomb interactions in the wire within the Tomonaga-Luttinger…

Mesoscale and Nanoscale Physics · Physics 2014-08-12 R. Zamoum , M. Guigou , C. Bena , A. Crépieux

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

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

Friedel oscillations (FO) of electron density caused by a delta-like neutral impurity in two-dimensional (2D) systems in a magnetic field are calculated. Three 2D cases are considered: free electron gas, monolayer graphene and group-VI…

Mesoscale and Nanoscale Physics · Physics 2018-05-16 Tomasz M. Rusin , Wlodek Zawadzki

We study the transport properties of interacting electrons in a disordered quantum wire within the framework of the Luttinger liquid model. We demonstrate that the notion of weak localization is applicable to the strongly correlated…

Disordered Systems and Neural Networks · Physics 2007-05-23 I. V. Gornyi , A. D. Mirlin , D. G. Polyakov

We study the signatures of disorder in the production of orbital electron entanglement in quantum wires. Disordered entanglers suffer the effects of localization of the electron wave function and random fluctuations in the entanglement…

Mesoscale and Nanoscale Physics · Physics 2014-03-07 Alberto Aleta , Héctor Villarubia-Rojo , Diego Frustaglia , Víctor A. Gopar

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

We use the non-equilibrium Green's function formalism along with a self-consistent Hartree-Fock approximation to numerically study the effects of a single impurity and interactions between the electrons (with and without spin) on the…

Strongly Correlated Electrons · Physics 2009-11-11 Amit Agarwal , Diptiman Sen

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

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 study the transport properties of interacting electrons in a disordered quantum wire within the framework of the Luttinger liquid model. The conductivity at finite temperature is nonzero only because of inelastic electron-electron…

Disordered Systems and Neural Networks · Physics 2009-11-10 I. V. Gornyi , A. D. Mirlin , D. G. Polyakov

This work addresses the problem of elastic scattering through a localized impurity in a one-dimensional crystal with sublattice freedom degrees. The impurity yields long-range interferences in the local density of states known as Friedel…

Mesoscale and Nanoscale Physics · Physics 2017-11-20 C. Dutreix , P. Delplace

The nonlinear conductance of a one-dimensional quantum wire adiabatically coupled to Fermi Liquid electron reservoirs is determined in presence of an impurity. We show that electron-electron interaction in connection with the finite length…

Strongly Correlated Electrons · Physics 2007-05-23 Fabrizio Dolcini , Hermann Grabert , Ines Safi , Bjoern Trauzettel

We study the influence of spin on the quantum interference of interacting electrons in a single-channel disordered quantum wire within the framework of the Luttinger liquid (LL) model. The nature of the electron interference in a spinful LL…

Strongly Correlated Electrons · Physics 2008-11-08 A. G. Yashenkin , I. V. Gornyi , A. D. Mirlin , D. G. Polyakov
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