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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 problem of backscattering off a time-dependent impurity in a one-dimensional electron gas. By combining the Schwinger-Keldysh method with an adiabatic approximation in order to deal with the corresponding out of…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Daniel G. Barci , L. Moriconi , M. Moriconi , Carlos M. Naón , Mariano J. Salvay

We numerically study the effect of non-magnetic impurities on the vortex bound states in noncentrosymmetric systems. The local density of states (LDOS) around a vortex is calculated by means of the quasiclassical Green's function method. We…

Superconductivity · Physics 2015-03-05 Yoichi Higashi , Yuki Nagai , Nobuhiko Hayashi

We present the results of detailed theoretical investigations of changes in local density of total electronic surface states in 2D anisotropic atomic semiconductor lattice in vicinity of impurity atom for a wide range of applied bias…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 V. N. Mantsevich , N. S. Maslova

We examine theoretically and experimentally the localized %and extended electrical modes existing in a bi-inductive electrical lattice containing a bulk or a surface capacitive impurity. By means of the formalism of lattice Green's…

Pattern Formation and Solitons · Physics 2019-12-18 M. I. Molina , L. Q. English , M-H. Chang , P. G. Kevrekidis

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

We investigate a one-dimensional electron liquid with two point scatterers of different strength. In the presence of electron interactions, the nonlinear conductance is shown to depend on the current direction. The resulting asymmetry of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. E. Feldman , S. Scheidl , V. M. Vinokur

We have studied low-temperature properties of interacting electrons in a one-dimensional quantum wire (Luttinger liquid) side-hybridized with a single-level impurity. The hybridization induces a back-scattering of electrons in the wire…

Strongly Correlated Electrons · Physics 2009-04-29 Igor V. Lerner , Vladimir I. Yudson , Igor V. Yurkevich

We present exact analytical and numerical results for the electronic spectra and the Friedel oscillations around a substitutional impurity atom in a graphene lattice. A chemical dopant in graphene introduces changes in the on-site potential…

We consider arrays of Luttinger liquids, where each node is described by a unitary scattering matrix. In the limit of small electron-electron interaction, we study the evolution of these scattering matrices as the high-energy single…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 K. Kazymyrenko , B. Doucot

The problem of a local impurity in a Luttinger liquid, just like the anisotropic Kondo problem (of which it is technically a cousin), describes many different physical systems. As shown by Kane and Fisher, the presence of interactions…

Strongly Correlated Electrons · Physics 2025-01-09 Chunyu Tan , Yuxiao Hang , Stephan Haas , Hubert Saleur

We address local inelastic scattering from vibrational impurity adsorbed onto graphene and the evolution of the local density of electron states near the impurity from weak to strong coupling regime. For weak coupling the local electronic…

Mesoscale and Nanoscale Physics · Physics 2013-06-10 J. Fransson , J. -H. She , L. Pietronero , A. V. Balatsky

The persistent current in a lattice model of a one-dimensional interacting electron system is systematically studied using a complex version of the density matrix renormalization group algorithm and the functional renormalization group…

Strongly Correlated Electrons · Physics 2009-11-07 V. Meden , U. Schollwoeck

We study a single impurity effect on the local density of states in a d-wave superconductor accounting for the momentum-dependent impurity potential. We show that the anisotropy of the scattering potential can alter significantly the…

Superconductivity · Physics 2015-06-24 P. Pisarski , G. Haran

We study how electron-electron interactions renormalize tunneling into a Luttinger liquid beyond the lowest order of perturbation in the tunneling amplitude. We find that the conventional fixed point has a finite basin of attraction only in…

Strongly Correlated Electrons · Physics 2010-12-30 D. N. Aristov , A. P. Dmitriev , I. V. Gornyi , V. Yu. Kachorovskii , D. G. Polyakov , P. Wölfle

We study the properties of interacting electrons in a one-dimensional conduction band coupled to bulk non-collinear ferromagnetic order. The specific form of non-collinearity we consider is that of an extended domain wall. The presence of…

Strongly Correlated Electrons · Physics 2011-07-18 N. Sedlmayr , S. Eggert , J. Sirker

Motivated by quantum chemistry calculations, showing that molecular adsorption in graphene takes place on preferential sites of the honeycomb lattice, we study the effect of an isolated impurity on the local electronic properties of a…

Mesoscale and Nanoscale Physics · Physics 2009-09-30 F. M. D. Pellegrino , G. G. N. Angilella , R. Pucci

The influence of isolated impurity atoms on the electron energy spectrum in a parabolic quantum dot in quantizing magnetic field is studied. The impurity potential is approximated by a Gaussian separable operator which allows one to obtain…

Mesoscale and Nanoscale Physics · Physics 2008-12-02 A. M. Ermolaev , G. I. Rashba

We study an impurity with a resonance level whose energy coincides with the Fermi energy of the surrounding Fermi gas. An impurity causes a rapid variation of the scattering phase shift for fermions at the Fermi surface, introducing a new…

Quantum Gases · Physics 2022-03-29 Mikhail Maslov , Mikhail Lemeshko , Artem G. Volosniev

We argue that a simple way to bypass reflections at the boundaries of a finite Luttinger liquid (LL) connected to electrodes is to match load and drain impedances to the characteristic impedance of the LL viewed as a mesoscopic transmission…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 K. -V. Pham
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