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The problem of a magnetic impurity, atomic or molecular, absorbed on top of a carbon atom in otherwise clean graphene is studied using the numerical renormalization group. The spectral, thermodynamic, and scattering properties of the…

Strongly Correlated Electrons · Physics 2009-01-27 P. S. Cornaglia , Gonzalo Usaj , C. A. Balseiro

We present a study of transport in graphene devices on polar insulating substrates by solving the Bolzmann transport equation in the presence of graphene phonon, surface polar phonon, and Coulomb charged impurity scattering. The value of…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Vasili Perebeinos , Phaedon Avouris

We study both monolayer and bilayer graphene transport properties taking into account the presence of correlations in the spatial distribution of charged impurities. In particular we find that the experimentally observed sublinear scaling…

Mesoscale and Nanoscale Physics · Physics 2012-07-10 Qiuzi Li , E. H. Hwang , E. Rossi

We investigate the conductivity $\sigma$ of graphene nanoribbons with zigzag edges as a function of Fermi energy $E_F$ in the presence of the impurities with different potential range. The dependence of $\sigma(E_F)$ displays four different…

Mesoscale and Nanoscale Physics · Physics 2007-08-20 Yan-Yang Zhang , Jiang-Ping Hu , X. C. Xie , W. M. Liu

The interband and intraband conductivities of doped graphene were theoretically investigated beyond the linear response. The new dependences of induced currents on frequency and amplitude of external electric field, the graphene temperature…

Mesoscale and Nanoscale Physics · Physics 2013-08-19 B. M. Ruvinskii , M. A. Ruvinskii

We report the enhancement of the thermoelectric power (TEP) in graphene with extremely low disorder. At high temperature we observe that the TEP is substantially larger than the prediction of the Mott relation, approaching to the…

Mesoscale and Nanoscale Physics · Physics 2016-04-06 Fereshte Ghahari , Hong-Yi Xie , Takashi Taniguchi , Kenji Watanabe , Matthew S. Foster , Philip Kim

Graphene with high carrier mobility \mu\ is required both for graphene-based electronic devices and for the investigation of the fundamental properties of graphene's Dirac fermions. It is largely accepted that the mobility-limiting factor…

Mesoscale and Nanoscale Physics · Physics 2012-03-08 A. K. M. Newaz , Yevgeniy S. Puzyrev , Bin Wang , Sokrates T. Pantelides , Kirill I. Bolotin

Numerical calculations of anisotropic hopping transport based on the resistor network model are presented. Conductivity is shown to follow the stretched exponential dependence on temperature with exponents changing from 1/4 to 1 as the wave…

Mesoscale and Nanoscale Physics · Physics 2016-11-09 S. Ihnatsenka

We investigate charge and energy transport in monolayer graphene with smooth finite-range disorder, modeled by soft impurity potentials. Using a continuum Dirac model, we go beyond the Born approximation by computing the exact scattering…

Mesoscale and Nanoscale Physics · Physics 2026-05-27 Juan A. Cañas , Daniel A. Bonilla , J. C. Pérez-Pedraza , A. Martín-Ruiz

The quantum corrections to the conductivity and the thermopower in monolayer graphene are studied. We use the recursive Green's function method to calculate numerically the conductivity and the thermopower of graphene. We then analyze these…

Mesoscale and Nanoscale Physics · Physics 2014-02-19 Aleksander P. Hinz , Eduardo R. Mucciolo , Stefan Kettemann

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

Graphene, through the coexistence of large cyclotron gaps and small spin and valley gaps, offers the possibility to study the breakdown of the quantum Hall effect across a wide range of energy scales. In this work, we investigate the…

Mesoscale and Nanoscale Physics · Physics 2025-10-10 Torsten Röper , Aifei Zhang , Kenji Watanabe , Takashi Taniguchi , Olivier Maillet , François D. Parmentier , Erwann Bocquillon

We consider periodically driven potential impurities coupled to the surface states of a two-dimensional topological insulator. The problem is addressed by means of two models, out which the first model is an effective continuum Hamiltonian…

Strongly Correlated Electrons · Physics 2019-10-02 Saurabh Pradhan , Jonas Fransson

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

We theoretically investigate under which conditions nonlocal plasmon response in monolayer graphene can be detected. To this purpose, we study optical scattering off graphene plasmon resonances coupled using a subwavelength dielectric…

Mesoscale and Nanoscale Physics · Physics 2025-02-19 Tobias Wenger , Giovanni Viola , Philippe Tassin , Mikael Fogelström , Jari Kinaret

The chapter combines analytical (statistical-thermodynamic and kinetic) with numerical (Kubo-Greenwood-formalism-based) approaches used to ascertain an influence of the configurations of point (impurities, vacancies) and line (grain…

Mesoscale and Nanoscale Physics · Physics 2014-06-04 T. M. Radchenko , V. A. Tatarenko , I. Yu. Sagalianov , Yu. I. Prylutskyy

Reflectance and transmittance of graphene in the optical region are analyzed as a function of frequency, temperature, and carrier density. We show that the optical graphene properties are determined by the direct interband electron…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 L. A. Falkovsky

The electrical conductivity of graphene with a nonzero mass-gap parameter is investigated starting from the first principles of quantum electrodynamics in (2+1)-dimensional space-time at any temperature. The formalism of the polarization…

Mesoscale and Nanoscale Physics · Physics 2016-11-07 G. L. Klimchitskaya , V. M. Mostepanenko

We present a systematic study of the electronic, transport and optical properties of disordered graphene including the next-nearest-neighbor hopping. We show that this hopping has a non-negligible effect on resonant scattering but is of…

Mesoscale and Nanoscale Physics · Physics 2015-07-17 Pei-liang Zhao , Shengjun Yuan , M. I. Katsnelson , H. De Raedt

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