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Two opposite chiralities of Dirac electrons in a 2D graphene sheet modify the Friedel oscillations strongly: electrostatic potential around an impurity in graphene decays much faster than in 2D electron gas. At distances $r$ much larger…

介观与纳米尺度物理 · 物理学 2021-02-17 Ke Wang , M. E. Raikh , T. A. Sedrakyan

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…

介观与纳米尺度物理 · 物理学 2018-05-16 Tomasz M. Rusin , Wlodek Zawadzki

Symmetry breaking perturbations in an electronically conducting medium are known to produce Friedel oscillations (FOs) in various physical quantities of an otherwise pristine material. Here we show in a mathematically transparent fashion…

介观与纳米尺度物理 · 物理学 2014-11-13 James A. Lawlor , Stephen R. Power , Mauro S. Ferreira

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…

介观与纳米尺度物理 · 物理学 2010-11-23 Ádám Bácsi , Attila Virosztek

The low-energy physics of rhombohedral $N$-layer graphene mainly arises on the external layers, where most of the {\pi} electrons are located. Their Bloch band structure defines a two-band semimetal; the dispersion relation scales as $\pm…

介观与纳米尺度物理 · 物理学 2016-01-13 C. Dutreix , M. I. Katsnelson

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…

强关联电子 · 物理学 2022-07-13 Banhi Chatterjee , Jan Skolimowski , Krzysztof Byczuk

We study Friedel oscillations in a two-dimensional non-interacting electron gas and in a monolayer graphene in the presence of a single impurity. The potential generated by the impurity is modeled using a non-Coulomb interaction ($\sim…

介观与纳米尺度物理 · 物理学 2025-09-03 Levente Máthé , Ioan Grosu

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 theoretically investigate the spin resolved Friedel oscillation (FO) and quasiparticle interference (QPI) in graphene induced by an Anderson impurity. Once the impurity becomes magnetic, the resulted FO becomes spin dependent, which…

介观与纳米尺度物理 · 物理学 2019-12-05 Shuai Li , Jin-Hua Gao

Understanding disorder in graphene is essential for electronic applications; in contrast to conventional materials, the extraordinarily low electron-phonon scattering1, 2 in graphene implies that disorder3-7 dominates its resistivity even…

介观与纳米尺度物理 · 物理学 2011-11-14 Jun Yan , Michael S. Fuhrer

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…

强关联电子 · 物理学 2009-10-31 Stefan Rommer , Sebastian Eggert

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…

凝聚态物理 · 物理学 2007-05-23 Reinhold Egger , Hermann Grabert

We study Friedel oscillations (FOs) in two-dimensional topological materials with Mexican hat band dispersion, which attract great interest due to the bunch of its inherent non-trivial features, including the Van Hove singularity, doubly…

介观与纳米尺度物理 · 物理学 2025-03-11 Vladimir A. Sablikov

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…

介观与纳米尺度物理 · 物理学 2013-06-10 J. Fransson , J. -H. She , L. Pietronero , A. V. Balatsky

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…

介观与纳米尺度物理 · 物理学 2017-11-20 C. Dutreix , P. Delplace

We consider Friedel oscillation in the two-dimensional Dirac materials when Fermi level is near the van Hove singularity. Twisted graphene bilayer and the surface state of topological crystalline insulator are the representative materials…

介观与纳米尺度物理 · 物理学 2016-01-25 Chi-Ken Lu

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,…

凝聚态物理 · 物理学 2009-10-28 Reinhold Egger , Hermann Grabert

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.…

强关联电子 · 物理学 2008-02-03 Johann Kroha

When a positively charged impurity is placed inside a cold metal, the resulting charge density around that object exhibits characteristic ripples to negative values, known as Friedel oscillations. In this essay, we describe a somewhat…

广义相对论与量子宇宙学 · 物理学 2018-10-19 Jens Boos

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…

强关联电子 · 物理学 2016-05-12 Emanuele G. Dalla Torre , David Benjamin , Yang He , David Dentelski , Eugene Demler
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