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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

Numerous experimental indications suggest that the Hume-Rothery mechanism plays an important role in stabilizing quasicrystalline and amorphous phases. However, the exponential damping of the conventional Friedel oscillations at the…

Disordered Systems and Neural Networks · Physics 2007-05-23 Hans Kroha

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

We investigate the influence of interference between Coulomb interaction and impurity scattering on the static electronic response $\chi (0,q)$ in disordered metals to leading order in the effective Coulomb interaction. When the transport…

Condensed Matter · Physics 2009-10-22 Johann Kroha , Andrea Huck , Thilo Kopp

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 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

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 demonstrate that electrostatic interactions between helical electrons at the edge of a quantum spin Hall insulator and a dynamical impurity can induce quasi-elastic backscattering. Modelling the impurity as a two-level system, we show…

Mesoscale and Nanoscale Physics · Physics 2021-07-07 Max McGinley , Nigel R. Cooper

Properties of the "electron gas" - in which conduction electrons interact by means of Coulomb forces but ionic potentials are neglected - change dramatically depending on the balance between kinetic energy and Coulomb repulsion. The limits…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Amit Ghosal , A. D. Guclu , C. J. Umrigar , Denis Ullmo , Harold U. Baranger

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

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

The discovery of quasicrystals with crystallographically forbidden rotational symmetries has changed the notion of the ordering in materials, yet little is known about the dynamical emergence of such exotic forms of order. Here we…

Quantum Gases · Physics 2019-11-27 Farokh Mivehvar , Helmut Ritsch , Francesco Piazza

We demonstrate that kinetic coefficients related to thermoelectric properties of the two dimensional electron gas in the diffusive regime are strongly influenced by electron-electron interaction. As an example we consider the thermoelectric…

Strongly Correlated Electrons · Physics 2015-05-30 V. T. Dolgopolov , A. Gold

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 introduce an integrable model of spin-polarized interacting electrons subject to a spin-conserving spin-orbit interaction. Using Bethe Ansatz and conformal field theory we calculate the exact large-time single-electron and density…

Strongly Correlated Electrons · Physics 2014-06-03 A. A. Zvyagin , H. Johannesson

The magnetoconductivity of quasicrystals is often discussed in the frame of quantum corrections, namely weak (anti-) localiza-tion and electron-electron interaction. A premise for both effects is a strong elastic scattering of conduction…

Disordered Systems and Neural Networks · Physics 2007-05-23 R. Haberkern , R. Rosenbaum , H. Bekar , M. Pilosof , A. Milner , A. Gerber , P. Häussler

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

We study theoretically the electron correlation effect in a three-dimensional Dirac fermion system which describes a topologically nontrivial state. It is shown within the mean-field approximation that time-reversal and inversion symmetries…

Strongly Correlated Electrons · Physics 2013-02-12 Akihiko Sekine , Kentaro Nomura

We explore the role of electron correlation in quasi one dimensional quantum wires as the range of the interaction potential is changed and their thickness is varied by performing exact quantum Monte Carlo simulations at various electronic…

Strongly Correlated Electrons · Physics 2009-11-13 L. Shulenburger , M. Casula , G. Senatore , R. M. Martin

The interplay between electron-electron interactions and weak localization (or anti-localization) phenomena in two-dimensional systems can significantly enhance the superconducting transition temperature. We develop the theory of quantum…

Superconductivity · Physics 2024-11-01 E. S. Andriyakhina , P. A. Nosov , S. Raghu , I. S. Burmistrov
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