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We investigate the effects of point and line defects in monolayer graphene within the framework of the Hubbard model, using a self-consistent mean field theory. These defects are found to induce characteristic patterns into the electronic…

Mesoscale and Nanoscale Physics · Physics 2011-04-22 Yi Chen Chang , Stephan Haas

It is pointed out that point defects on graphene are strongly correlated and can not be treated as independent scatters. In particular, for large on-site defect potential, it is shown that defects induce an impurity band with density of…

Strongly Correlated Electrons · Physics 2015-05-13 Bor-Luen Huang , Chung-Yu Mou

It is shown that clustering of charged impurities on graphene can suppress their contribution to the resistivity by a large factor of about the number of impurities per cluster, while leaving the density dependence unchanged. If the cluster…

Mesoscale and Nanoscale Physics · Physics 2009-05-25 M. I. Katsnelson , F. Guinea , A. K. Geim

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

The electrical conductivity of graphene containing point defects is studied within the binary alloy model in its dependence on the Fermi level position at the zero temperature. It is found that the minimal conductivity value does not have a…

Disordered Systems and Neural Networks · Physics 2015-05-18 Yuriy V. Skrypnyk , Vadim M. Loktev

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

The effect of substitution atoms on the energy spectrum and the electrical conductivity of graphene was investigated in a Lifshitz one-electron tight-binding model. It is established that the ordering of impurity atoms results in a gap in…

Strongly Correlated Electrons · Physics 2020-03-05 S. P. Repetsky , I. G. Vyshyvana , S. P. Kruchinin , R. M. Melnyk , A. P. Polishchuk

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

We consider an effect of weak impurities on electronic properties of graphene within the functional renormalization-group approach. The energy dependences of the electronic self-energy and density of states near the neutrality point are…

Strongly Correlated Electrons · Physics 2013-12-10 A. Katanin

In the theoretical analyses of impurity effects in superconductors the assumption is usually made that all quantities, except for the Green functions, are slowly varying functions of energy. When this so-called Fermi Surface Restricted…

Superconductivity · Physics 2007-05-23 C. T. Rieck , K. Scharnberg , S. Scheffler

The recent experimental study of the far-infrared transmission spectroscopy of monolayer graphene has shown that the Drude peak width increases by more than $10\%$ per $1\%$ of applied mechanical strain, while the Drude weight remains…

Mesoscale and Nanoscale Physics · Physics 2018-09-27 V. O. Shubnyi , S. G. Sharapov , Y. V. Skrypnyk

A Green function analysis has been developed for quasiparticle spectrum and localized states of a 2D graphene sheet in presence of different types of substitutional disorder, including vacancies. The anomalous character of impurity effects…

Disordered Systems and Neural Networks · Physics 2007-05-23 Yu. G. Pogorelov

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

We consider a model of an Anderson impurity embedded in a $d_{x^2-y^2}$-wave superconducting state to describe the low-energy excitations of cuprate superconductors doped with a small amount of magnetic impurities. Due to the Dirac-like…

Strongly Correlated Electrons · Physics 2013-01-24 Guang-Ming Zhang , Hui Hu , Lu Yu

We study an impurity with a resonance level whose energy coincides with the Fermi energy of the surrounding Fermi gas. An impurity causes a rapid variation of the scattering phase shift for fermions at the Fermi surface, introducing a new…

Quantum Gases · Physics 2022-03-29 Mikhail Maslov , Mikhail Lemeshko , Artem G. Volosniev

We obtain a novel bound state spectrum of the low energy excitations near the Fermi points of graphene in the presence of a charge impurity. The effects of possible short range interactions induced by the impurity are modelled by suitable…

High Energy Physics - Theory · Physics 2009-11-13 Kumar S. Gupta , Siddhartha Sen

We present calculations of the thermal and electric linear response in graphene, including disorder in the self-consistent t-matrix approximation. For strong impurity scattering, near the unitary limit, the formation of a band of impurity…

Mesoscale and Nanoscale Physics · Physics 2008-04-29 Tomas Lofwander , Mikael Fogelstrom

Resonant scattering of electrons with low energies (as compared to the bandwidth) on a single neutral short-range impurity in graphene is analyzed theoretically, taking into account the valley degeneracy. Resonances dramatically increase…

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

Bound and resonance electronic states in impure graphene are studied. Short-range perturbations for defects and impurities of the types "local chemical potential" and "local gap" are taken into account. Zero gap and non-zero gap kinds of…

Mesoscale and Nanoscale Physics · Physics 2009-05-25 Natalie E. Firsova , Sergey A. Ktitorov , Philip A. Pogorelov

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
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