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We investigate the effects in the spectral properties of a massive Dirac system of the dynamical renormalization induce by disorder/impurity scattering within the self-consistent Born approximation. We show how that these effects leads to a…

Mesoscale and Nanoscale Physics · Physics 2017-10-12 Habib Rostami , Emmanuele Cappelluti

The goal of this paper is to provide an intuitive and useful tool for analyzing the impurity bound state problem. We develop a semiclassical approach and apply it to an impurity in two dimensional systems with parabolic or Dirac like bands.…

Disordered Systems and Neural Networks · Physics 2026-02-20 Kun W. Kim , T. Pereg-Barnea , G. Refael

We review the theoretical and experimental results connected with the electron states in two-dimensional Dirac systems paying a special attention to the atomic collapse in graphene. Two-electron bound states of a Coulomb impurity are…

Strongly Correlated Electrons · Physics 2018-06-15 E. V. Gorbar , V. P. Gusynin , O. O. Sobol

In this paper we present detailed study of the density of states near defects in Bi$_2$Se$_3$. In particular, we present data on the commonly found triangular defects in this system. While we do not find any measurable quasiparticle…

We consider the problem of electron energy states related to strongly localized potential of a single impurity in graphene. Our model simulates the effect of impurity atom substituting the atom of carbon, on the energy spectrum of electrons…

Strongly Correlated Electrons · Physics 2015-05-19 M Inglot , V K Dugaev

We investigate nonmagnetic impurity effects in two-band superconductors, focusing on the effects of interband scatterings. Within the Born approximation, it is known that interband scatterings mix order parameters in the two bands. In…

Superconductivity · Physics 2015-06-24 Yoji Ohashi

It is demonstrated that a new nodal point is forming and a domain with anomalous dispersion is unfolding in the spectrum of charge carriers in graphene, when the concentration of weakly bound impurities exceeds a certain critical value.

Disordered Systems and Neural Networks · Physics 2011-09-13 Yuriy V. Skrypnyk , Vadim M. Loktev

An analysis of the electron localization properties in doped graphene is performed by doing a numerical multifractal analysis. By obtaining the singularity spectrum of a tight-binding model, it is found that the electron wave functions…

Disordered Systems and Neural Networks · Physics 2013-07-01 J. E. Barrios-Vargas , Gerardo G. Naumis

Quasiparticle states in Dirac systems with complex impurity potentials are investigated. It is shown that an impurity site with loss leads to a nontrivial distribution of the local density of states (LDOS). While the real part of defect…

Disordered Systems and Neural Networks · Physics 2020-03-20 P. O. Sukhachov , A. V. Balatsky

We suggest the tried approach of impurity band engineering to produce flat bands and additional nodes in Dirac materials. We show that surface impurities give rise to nearly flat impurity bands close to the Dirac point. The hybridization of…

Materials Science · Physics 2021-07-07 Anna Pertsova , Peter Johnson , Daniel P. Arovas , Alexander V. Balatsky

Formation of localized impurity levels within the band gap in bigraphene under applied electric field is considered and the conditions for their collectivization at finite impurity concentration are established. It is shown that a…

Disordered Systems and Neural Networks · Physics 2015-08-12 Y. G. Pogorelov , M. C. Santos , V. M. Loktev

The effects of nonmagnetic impurity on the spin excitation spectra in a $d_{x^2-y^2}$-wave superconductor are examined, using the self-consistent $t$-matrix approximation. It is shown that the impurity self-energy acts to shift the position…

Superconductivity · Physics 2009-10-31 Jian-Xin Li , Wei-Guo Yin , Chang-De Gong

The absence of localization of impurity-induced low-energy quasiparticle states in a two-dimensional $d$-wave superconductor is argued for any amount of disorder in the limit of unitary scatterers. This surprising result follows from the…

Condensed Matter · Physics 2009-10-28 A. V. Balatsky , M. I. Salkola

We demonstrate how potential impurities are a very powerful tool for determining the pairing symmetry in graphene proximity-coupled to a spin-singlet superconductor. All d-wave states are characterized by subgap resonances, with spatial…

Superconductivity · Physics 2018-06-20 Oladunjoye A. Awoga , Annica M. Black-Schaffer

Unique electronic band structure of graphene with its semi-metallic features near the charge neutrality point is sensitive to impurity effects. Using the Lifshitz and Anderson impurity models, we study in detail the disorder induced…

Mesoscale and Nanoscale Physics · Physics 2020-10-21 Yuriy G. Pogorelov , Vadim M. Loktev , Denis Kochan

A two-dimensional electron system interacting with an impurity and placed in crossed magnetic and electric fields is under investigation. Since it is assumed that an impurity center interacts as an attractive $\delta$-like potential a…

Quantum Physics · Physics 2015-06-26 Katarzyna Krajewska , Jerzy Z. Kaminski

We theoretically consider the effects of having unintentional charged impurities in laterally coupled two-dimensional double (GaAs) quantum dot systems, where each dot contains one or two electrons and a single charged impurity in the…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Nga T. T. Nguyen , S. Das Sarma

Two-dimensional and three-dimensional massless Dirac fermions can form a sequence of quasibound states with an attractive charged impurity. These quasibound states exhibit a discrete scaling symmetry, i.e., the energy ratio between two…

Mesoscale and Nanoscale Physics · Physics 2018-11-28 Mingyuan Sun

Considering the interband correlation, we present a generalized multiple-scattering approach of Green's function to investigate the effects of electron-impurity scattering on the density of states in silicene. The reduction of energy gaps…

Materials Science · Physics 2017-01-04 S. Y. Liu , Y. C. Zeng , X. L. Lei

It is demonstrated that there is a characteristic impurity concentration, at which variation with concentration and overall appearance of the local density of states at the impurity site in graphene are changing their behavior. Features…

Disordered Systems and Neural Networks · Physics 2007-05-23 Yuriy V. Skrypnyk , Vadim M. Loktev
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