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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

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…

Mesoscale and Nanoscale Physics · Physics 2021-02-17 Ke Wang , M. E. Raikh , T. A. Sedrakyan

We report a systematic study of transport properties of nanosytems with charge density waves. We demonstrate, how the presence of density waves modifies the current-voltage characteristics. On the other hand hand, we show that the density…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Marcin Mierzejewski , Maciej M. Maska

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

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

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 characterize the particle transport, particle loss, and nonequilibrium steady states in a dissipative one-dimensional lattice connected to reservoirs at both ends. The free-fermion reservoirs are fixed at different chemical potentials,…

Quantum Gases · Physics 2023-03-27 A. -M. Visuri , T. Giamarchi , C. Kollath

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

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

Oscillations of local density of states generated by a single scalar impurity potential are calculated for one-dimensional systems with dynamically generated charge or spin gap. At zero temperature the oscillations develop at finite wave…

Superconductivity · Physics 2009-11-13 A. M. Tsvelik

We study the Friedel oscillations induced by a localized impurity in anisotropic graphene. We focus on the limit when the two inequivalent Dirac points merge. We find that in this limit the Friedel oscillations manifest very peculiar…

Mesoscale and Nanoscale Physics · Physics 2016-06-07 Clément Dutreix , Liviu Bilteanu , Anu Jagannathan , Cristina Bena

We present a combined theoretical approach to study the nonequilibrium transport properties of nanoscale systems coupled to metallic electrodes and exhibiting strong electron-phonon interactions. We use the Keldysh Green function formalism…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 R. C. Monreal , F. Flores , A. Martin-Rodero

Friedel oscillations of electron densities near step edges have an analog in microwave billiards. A random plane wave model, normally only appropriate for the eigenfunctions of a purely chaotic system, can be applied and is tested for…

Chaotic Dynamics · Physics 2015-05-14 A. Baecker , B. Dietz , T. Friedrich , M. Miski-Oglu , A. Richter , F. Schaefer , S. Tomsovic

The density matrix renormalization group method for ladders works much more efficiently with open boundary conditions. One consequence of these boundary conditions is groundstate charge density oscillations that often appear to be nearly…

Superconductivity · Physics 2009-11-07 Steven R. White , Ian Affleck , Douglas J. Scalapino

We show that Friedel oscillations (FO) in grapehene are strongly affected by the chirality of electrons in this material. In particular, the FO of the charge density around an impurity show a faster, $1/r^3$, decay than in conventional 2D…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Vadim V. Cheianov , Vladimir I. Fal'ko

We study the effect of open boundary condition on charge density waves (CDW). The electron density oscillates rapidly close to the boundary, and additional non-oscillating terms (~ln(r)) appear. The Friedel oscillations survive beyond the…

Strongly Correlated Electrons · Physics 2015-06-25 Balázs Dóra

Electrons mediate many of the interactions between atoms in a solid. Their propagation in a material determines its thermal, electrical, optical, magnetic and transport properties. Therefore, the constant energy contours characterizing the…

We numerically investigate the electronic transport properties between two mesoscopic graphene disks with a twist by employing the density functional theory coupled with non-equilibrium Green's function technique. By attaching two graphene…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Yulei Han , Yafei Ren , Xinlong Dong , Junjie Zeng , Wei Ren , Zhenhua Qiao

We consider a nano-system connected to measurement probes via non interacting leads. When the electrons interact inside the nano-system, the coefficient |ts(E_F)|^2 describing its effective transmission at the Fermi energy E_F ceases to be…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 Axel Freyn , Jean-Louis Pichard

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
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