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Quantum transport in a lattice is distinct from its counterpart in continuum media. Even a free wave packet travels differently in a lattice than in the continuum. We describe quantum scattering in a one dimensional lattice using three…

Disordered Systems and Neural Networks · Physics 2009-11-11 Wonkee Kim , L. Covaci , F. Marsiglio

We study rectangular graphene flakes using mean field states as the basis for a configuration interaction calculation, which allows us to analyze the low lying electronic excited states including electron correlations beyond the mean field…

Materials Science · Physics 2018-01-18 Z. S. Sadeq , Rodrigo A. Muniz , J. E. Sipe

The solution of the classical Fermi problem of low-energy neutron scattering by nuclei, when the excitations of the nuclei in scattering processes are taken into account, is found by the method of zero-range potentials with inner structure.…

Quantum Physics · Physics 2007-05-23 Vladimir I. Kruglov , Boris S. Pavlov

We study localized plasmons at the nanoscale (nano-plasmons) in graphene. The collective excitations of induced charge density modulations in graphene are drastically changed in the vicinity of a single impurity compared to graphene's bulk…

Materials Science · Physics 2013-12-19 Hari Dahal , Rodrigo A. Muniz , Stephan Haas , Matthias J. Graf , Alexander V. Balatsky

We propose that the observed spin-relaxation in bilayer graphene is due to resonant scattering by magnetic impurities. We analyze a resonant scattering model due to adatoms on both dimer and non-dimer sites, finding that only the former…

Mesoscale and Nanoscale Physics · Physics 2016-03-01 Denis Kochan , Susanne Irmer , Martin Gmitra , Jaroslav Fabian

A variety of problems in acoustic and electromagnetic scattering require the evaluation of impedance or layered media Green's functions. Given a point source located in an unbounded half-space or an infinitely extended layer, Sommerfeld and…

Numerical Analysis · Mathematics 2015-07-23 Jun Lai , Leslie Greengard , Michael O'Neil

We study theoretically the Kondo effect for a magnetic adatom on graphene using the Anderson model.Upon obtaining the Green's function of the impurity to higher order contributions in the hybridization, we calculated analytically the…

Strongly Correlated Electrons · Physics 2011-10-12 Zhen-Gang Zhu , Jamal Berakdar

We used a quantum Monte Carlo method to study the magnetic impurity adatoms on graphene. We found that by tuning the chemical potential we could switch the values of the impurity's local magnet moment between relatively large and small…

Strongly Correlated Electrons · Physics 2011-08-05 F. M. Hu , Tianxing Ma , Hai-Qing Lin , J. E. Gubernatis

In one-dimensional quantum wires the interplay of electron correlations and impurities strongly influences the low-energy physics. The diversity of energy scales and the competition of correlations in interacting Fermi systems can be…

Strongly Correlated Electrons · Physics 2024-09-02 Sabine Andergassen

Using a generalized T-matrix description which, in principle, exactly includes Coulomb correlations and potential scattering events, resonant and bound impurity states are discussed. Like in the non-interacting case, the effects of the…

Condensed Matter · Physics 2009-10-28 W. Ziegler , D. Poilblanc , R. Preuss , W. Hanke , D. J. Scalapino

We use quantum Monte Carlo method to study a magnetic impurity located next to a vacancy in bilayer graphene with Bernal stacking. Due to the broken symmetry between two sublattices in bilayer system, there exist two different types of…

Strongly Correlated Electrons · Physics 2014-10-15 J. H. Sun , F. M. Hu , H. K. Tang , H. Q. Lin

Unitary limit for model point scatterers in graphene is known to reveal low-energy resonances. The same limit could be achieved from hybridization of band electrons with the localized impurity level positioned in the vicinity of the Fermi…

Mesoscale and Nanoscale Physics · Physics 2013-04-18 V. V. Mkhitaryan , E. G. Mishchenko

Inherent symmetries of a system lead to multiple degeneracies of its energy spectra. Introducing individual atomic impurities can locally break these symmetries, which is expected to lift the degenerate degrees of freedom around the…

Mesoscale and Nanoscale Physics · Physics 2020-04-29 Yu Zhang , Qi-Qi Guo , Si-Yu Li , Lin He

We investigate the scattering process of impulse from impurities in vertical granular chain system under gravity. Most of the studies are focused on the case of light impurities. The reflection rates follow power laws with the impuity…

Soft Condensed Matter · Physics 2007-05-23 Aiguo Xu

Scattering of matter waves through slits has been explored using the Feynman Path Integral formalism. We explicitly plot the near-zero probability densities to analyse the behaviour near the slit. Upon doing so, intriguing patterns emerge,…

Quantum Physics · Physics 2022-10-21 Hardeep Singh , A. Bhagwat

We study the local density of states around potential scatterers in d-wave superconductors, and show that quantum interference between impurity states is not negligible for experimentally relevant impurity concentrations. The two impurity…

Superconductivity · Physics 2009-11-10 W. A. Atkinson , P. J. Hirschfeld , Lingyin Zhu

The impurity Green's function exact to the first order in the vacancy concentration has been calculated in the framework of the five frequency model (5FM). The solution in terms of determinant ratios has been obtained with the use of the…

Materials Science · Physics 2018-06-25 V. I. Tokar

In a recent publication [Phys. Rev. B $\textbf{89}$, 155403 (2014)], the authors investigated the spectrum of a Coulomb impurity in graphene in the presence of magnetic and electric fields using the coupled series expansion approach. In the…

Mesoscale and Nanoscale Physics · Physics 2018-06-06 R. Van Pottelberge , M. Zarenia , F. M. Peeters

An expression for the Green's function (GF) of anisotropic face centered cubic lattice is evaluated analytically and numerically for a single impurity problem. The density of states (DOS), phase shift and scattering cross section are…

Other Condensed Matter · Physics 2009-04-01 J. H. Asad , R. S. Hijjawi , A. J. Sakaji , J. M. Khalifeh

In this paper, we employ the generalized Bloch theory to rediscover the generalized Brillouin zone theory and follow this way to obtain the Green's function of the non-Hermitian system. We focus on a classical chiral model and give the…

Mesoscale and Nanoscale Physics · Physics 2024-05-08 Changrui Chen , Wenan Guo
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