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We present a detailed theoretical study on the thermodynamic properties of impure quasi-one dimensional unconventional charge-, and spin-density waves in the framework of mean-field theory. The impurities are of the ordinary non-magnetic…

Strongly Correlated Electrons · Physics 2009-11-11 Andras Vanyolos , Balazs Dora , Kazumi Maki , Attila Virosztek

The plasmon modes of pristine and impurity doped graphene are calculated, using a real-space theory which determines the non-local dielectric response within the random phase approximation. A full diagonalization of the polarization…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 Rodrigo A. Muniz , Hari P. Dahal , A. V. Balatsky , Stephan Haas

Theoretical progress in graphene physics has largely relied on the application of a simple nearest-neighbor tight-binding model capable of predicting many of the electronic properties of this material. However, important features that…

Mesoscale and Nanoscale Physics · Physics 2019-04-03 Z. M. Abd El-Fattah , M. A. Kher-Elden , I. Piquero-Zulaica , F. J. Garcia de Abajo , J. E. Ortega

We use a functional integral formalism developed earlier for the pure Luttinger liquid (LL) to find an exact representation for the electron Green function of the LL in the presence of a single backscattering impurity. This allows us to…

Strongly Correlated Electrons · Physics 2009-04-30 Alex Grishin , Igor V. Yurkevich , Igor V. Lerner

We present a detailed calculation of intensities of two-phonon and four-phonon Raman peaks in graphene. Writing the low-energy hamiltonian of the interaction of electrons with the crystal vibrations and the electromagnetic field from pure…

Materials Science · Physics 2009-11-13 D. M. Basko

In this paper the validity of the diffusion approximation for multiple scattering of classical waves in random medium in different regimes is investigated, with emphasize to weak localization effects. Many principle topics are discussed…

Disordered Systems and Neural Networks · Physics 2007-05-23 Peter Slavov

We use the worldline formalism to study tree-level scattering processes involving gravitons. A massless spin 2 particle is described by an $N=4$ supersymmetric worldline action which is also $O(4)$ symmetric. More generally, $N=2S$…

High Energy Physics - Theory · Physics 2023-08-23 Yuchen Du , Diana Vaman

This paper develops a finite-difference analogue of the boundary integral/element method for the numerical solution of two-dimensional exterior scattering from scatterers of arbitrary shapes. The discrete fundamental solution, known as the…

Numerical Analysis · Mathematics 2025-11-19 Siyuan Wang , Qing Xia

We discuss various scattering mechanisms for Dirac fermions in single-layer graphene. It is shown that scattering on a short-range potential (due to, for example, neutral impurities) is mostly irrelevant for electronic quality of graphene,…

Mesoscale and Nanoscale Physics · Physics 2007-12-06 M. I. Katsnelson , A. K. Geim

We compute the transmission of an electron through an impurity in polyacene. An analytical expression for the transmission coefficient is found. For simplicity the disorder is confined to a single unit cell, but the generalization to…

Mesoscale and Nanoscale Physics · Physics 2008-05-19 N. M. R. Peres , F. Sols

A Green's function formalism is used to calculate the spectrum of localized modes of an impurity layer implanted within a ferromagnetic thin film. The equations of motion for the Green's functions are determined in the framework of the…

Disordered Systems and Neural Networks · Physics 2009-11-10 R. V. Leite , B. T. F. Morais , J. Milton Pereira , R. N. Costa Filho

We show that using the properties of the photon Green's function one can successfully describe the propagation of arbitrary nonclassical optical radiation through structured materials. In contrast to the similar input-output approach, our…

Optics · Physics 2009-03-31 F. Richter , D. Yu. Vasylyev , K. Henneberger

This paper presents a full-spectrum Green function methodology (which is valid, in particular, at and around Wood-anomaly frequencies) for evaluation of scattering by periodic arrays of cylinders of arbitrary cross section-with application…

Numerical Analysis · Mathematics 2017-04-12 Oscar P. Bruno , Agustin G. Fernandez-Lado

We investigate a magnetic impurity in Bernal stacked bilayer graphene by a non-perturbative numerical exact approach. In the two cases we study, impurity is placed on the top of two different sublattices (A and B) in bilayer graphene. We…

Strongly Correlated Electrons · Physics 2012-06-05 J. H. Sun , F. M. Hu , H. K. Tang , H. Q. Lin

Chemical, mechanical, thermal and/or electronic properties of bulk or low-dimensional materials can be engineered by introducing structural defects to form novel functionalities. When using particles irradiation, these defects can be…

Materials Science · Physics 2022-02-07 L. Basta , A. Moscardini , S. Veronesi , F. Bianco

We present a numerically efficient technique to evaluate the Green's function for extended two dimensional systems without relying on periodic boundary conditions. Different regions of interest, or `patches', are connected using self energy…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Mikkel Settnes , Stephen R. Power , Jun Lin , Dirch H. Petersen , Antti-Pekka Jauho

Motivated by the recently observed sublattice asymmetry of substitutional nitrogen impurities in CVD grown graphene, we show, in a mathematically transparent manner, that oscillations in the local density of states driven by the presence of…

Mesoscale and Nanoscale Physics · Physics 2014-11-13 James A. Lawlor , Paul D. Gorman , Stephen R. Power , Claudionor G. Bezerra , Mauro S. Ferreira

For a pulsating free surface source in a three-dimensional finite depth fluid domain, the Green function of the source presented by John [F. John, On the motion of floating bodies II. Simple harmonic motions, Communs. Pure Appl. Math. 3…

Fluid Dynamics · Physics 2020-04-29 Zhi-Min Chen

We introduce a formalism to solve the problem of photon scattering from a system of multi-level quantum emitters. Our approach provides a direct solution of the scattering dynamics. As such the formalism gives the scattered fields…

Quantum Physics · Physics 2018-04-25 Sumanta Das , Vincent E. Elfving , Florentin Reiter , Anders S. Sørensen

We have studied the massive parafermionic sector of an integrable spin-$s$ chain with an impurity of spin-$s^{'}$ in presence of a magnetic field. The effect of the impurity is encoded in a computable parafermionic impurity scattering…

Condensed Matter · Physics 2009-10-22 M. J. Martins