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We study the atomic collapse phenomenon in $K$ and $K'$ valley of gapped graphene. Bound states induced by Coulomb impurity in the gap turn into atomic collapse resonances as the charge increases beyond the supercritical charge $Z_c$. $Z_c$…

Mesoscale and Nanoscale Physics · Physics 2025-01-28 Jing Wang , Xiaotai Wu , Wen-Sheng Zhao , Yuhua Cheng , Yue Hu , Francois M. Peeters

Density functional theory (DFT) and many body perturbation theory at the G$_0$W$_0$ level are employed to study the electronic properties of polythiophene (PT) adsorbed on graphene surface. Analysis of charge density difference shows the…

Mesoscale and Nanoscale Physics · Physics 2017-09-07 F. Marsusi , I. A. Fedorov , S. Gerivani

Anderson impurity problem is considered for a graphene bilayer subject to a gap-opening bias. In-gap localized states are produced even when the impurity level overlaps with the continuum of band electrons. The effect depends strongly on…

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

Screening of charge impurities in graphene is analyzed using the exact solution for vacuum polarization obtained from the massless Dirac-Kepler problem. For the impurity charge below certain critical value no density perturbation is found…

Mesoscale and Nanoscale Physics · Physics 2007-12-09 A. V. Shytov , M. I. Katsnelson , L. S. Levitov

We study the distribution of vacuum polarization charge induced by a Coulomb impurity in massive graphene. By analytically computing the polarization function, we show that the charge density is distributed in space in a non-trivial…

Mesoscale and Nanoscale Physics · Physics 2008-08-22 Valeri N. Kotov , Vitor M. Pereira , Bruno Uchoa

Artificial atoms in graphene hosting a series of quasi-bound states can serve as an excellent platform to explore atomic collapse and become a basis to design novel graphene nanodevices. We theoretically study behaviors of massless Dirac…

Mesoscale and Nanoscale Physics · Physics 2025-09-05 Yu-Chen Zhuang , Yue Mao , Qing-Feng Sun

We study optically-induced collective excitations of graphene in the presence of a strong perpendicular magnetic field and a single impurity. We determine the energies and absorption strengths of these excitations, which become localised on…

Mesoscale and Nanoscale Physics · Physics 2009-12-04 A. M. Fischer , A. B. Dzyubenko , R. A. Roemer

We consider a graphene sheet in the presence of a strong perpendicular magnetic field with a single short-range delta-impurity situated at one of the carbon sites. We study the neutral inter-Landau level collective excitations,…

Strongly Correlated Electrons · Physics 2011-11-09 A. M. Fischer , R. A. Römer , A. B. Dzyubenko

The edges of graphene and graphene like systems can host localized states with evanescent wave function with properties radically different from those of the Dirac electrons in bulk. This happens in a variety of situations, that are…

Mesoscale and Nanoscale Physics · Physics 2016-09-20 J. L. Lado , N. Garcia-Martinez , J. Fernandez-Rossier

This paper reviews the theoretical work undertaken using density functional theory (DFT) to explore graphene's interactions with its surroundings. We look at the impact of substrates, gate dielectrics and edge effects on the properties of…

Mesoscale and Nanoscale Physics · Physics 2012-07-31 Priyamvada Jadaun , Bhagawan R. Sahu , Leonard F. Register , Sanjay K. Banerjee

The density of states (DOS) of graphene underneath a metal is estimated through a quantum capacitance measurement of the metal/graphene/SiO2/n+-Si contact structure fabricated by a resist-free metal deposition process. Graphene underneath…

Materials Science · Physics 2013-07-22 Ryota Ifuku , Kosuke Nagashio , Tomonori Nishimura , Akira Toriumi

The remarkable electronic properties of graphene have fueled the vision of a graphene-based platform for lighter, faster and smarter electronics and computing applications. One of the challenges is to devise ways to tailor its electronic…

We calculate exactly the vacuum polarization charge density in the field of a subcritical Coulomb impurity, $Z|e|/r$, in graphene. Our analysis is based on the exact electron Green's function, obtained by using the operator method, and…

Mesoscale and Nanoscale Physics · Physics 2008-02-25 Ivan S. Terekhov , Alexander I. Milstein , Valeri N. Kotov , Oleg P. Sushkov

We evaluate the stopping and image forces on a charged particle moving parallel to a doped sheet of graphene by using the dielectric response formalism for graphene's $\pi$-electron bands in the random phase approximation (RPA). The forces…

Materials Science · Physics 2009-11-10 K. F. Allison , D. Borka , I. Radović , Lj. Hadžievski , Z. L. Mišković

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

Graphene clusters consisting of 24 to 150 carbon atoms and hydrogen termination at the zigzag boundary edges have been studied, as well as clusters disordered by vacancy(s). Density Function Theory and Gaussian03 software were used to…

Mesoscale and Nanoscale Physics · Physics 2012-11-21 N. Kheirabadi , A. Shafiekhani

The electronic states of an electrostatically confined cylindrical graphene quantum dot and the electric transport through this device are studied theoretically within the continuum Dirac-equation approximation and compared with numerical…

Mesoscale and Nanoscale Physics · Physics 2011-08-12 G. Pal , W. Apel , L. Schweitzer

We analyze the single particle states at the edges of disordered graphene quantum dots. We show that generic graphene quantum dots support a number of edge states proportional to circumference of the dot over the lattice constant. Our…

Mesoscale and Nanoscale Physics · Physics 2010-07-13 M. Wimmer , A. R. Akhmerov , F. Guinea

Resonant scatterers such as hydrogen adatoms can strongly enhance the low energy density of states in graphene. Here, we study the impact of these impurities on the electronic screening. We find a two-faced behavior: Kubo formula…

Mesoscale and Nanoscale Physics · Physics 2012-10-15 Shengjun Yuan , T. O. Wehling , A. I. Lichtenstein , M. I. Katsnelson

Following recently published study of Prezhdo and coworkers (JPC Letters, 2014, 5, 4129-4133), we report a systematic investigation of how monovalent and divalent ions influence valence electronic structure of graphene. Pure density…

Materials Science · Physics 2014-12-10 Guilherme Colherinhas , Eudes Eterno Fileti , Vitaly V. Chaban