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In this paper, we numerically study a Coulomb impurity problem for interacting Dirac fermions restricted in disordered graphene quantum dots. In the presence of randomly distributed lattice defects and spatial potential fluctuations, the…

Mesoscale and Nanoscale Physics · Physics 2020-11-25 Mustafa Polat , A. D. Güçlü

We study the supercritical instability in gapped graphene with two charged impurities separated by distance R using the two-dimensional Dirac equation for electron quasiparticles. Attention is paid to a situation when charges of impurities…

Mesoscale and Nanoscale Physics · Physics 2013-12-04 E. V. Gorbar , V. P. Gusynin , O. O. Sobol

Recent measurements revealed an anomalous Coulomb drag in graphene, hinting at new physics at charge neutrality. The anomalous drag is explained by a new mechanism based on energy transport, which involves interlayer energy transfer,…

Mesoscale and Nanoscale Physics · Physics 2014-11-18 Justin C. W. Song , Dmitry A. Abanin , Leonid S. Levitov

We report a study of disorder effects on epitaxial graphene in the vicinity of the Dirac point by magneto-transport. Hall effect measurements show that the carrier density increases quadratically with temperature, in good agreement with…

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

We develop a theory for the optical conductivity of doped multilayer graphene including the effects of electron-electron interactions. Applying the quantum kinetic formalism, we formulate a set of pseudospin Bloch equations that governs the…

Mesoscale and Nanoscale Physics · Physics 2018-04-03 Xiao Li , Wang-Kong Tse

The effect of supercritical charge impurities in graphene is very similar to the supercritical atomic collapses in QED for Z > 137, but with a much lower critical charge. In this sense graphene can be considered as a natural testing ground…

Mesoscale and Nanoscale Physics · Physics 2020-05-12 Manuel Asorey , Alessandro Santagata

Using the self-consistent Born approximation to the Dirac fermions under finite-range impurity scatterings, we show that the current-current correlation function is determined by four-coupled integral equations. This is very different from…

Strongly Correlated Electrons · Physics 2008-06-10 Xin-Zhong Yan , Yousef Romiah , C. S. Ting

The problem of electrostatic screening of a charged line by undoped or weakly doped graphene is treated beyond the linear-response theory. The induced electron density is found to be approximately doping independent, n(x)~(log x)^2/x^2, at…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Bor-Yuan Jiang , Michael M. Fogler

We analyse the interaction between charges and graphene layers. The electric polarisability of graphene induces a force, that can be described by an image charge. The analysis shows that graphene can be described as an imperfect conductor…

Mesoscale and Nanoscale Physics · Physics 2016-05-27 Francisco Guinea , Niels R. Walet

Using the semiclassical Boltzmann transport theory, we analytically consider dc charge transport in gapless electron-hole (both chiral and non-chiral) systems in the presence of resistive scattering due to static disorder arising from…

Disordered Systems and Neural Networks · Physics 2015-05-11 S. Das Sarma , E. H. Hwang

We show that the plasmon spectrum of an ordinary two-dimensional electron gas (2DEG) hosted in a GaAs heterostructure is significantly modified when a graphene sheet is placed on the surface of the semiconductor in close proximity to the…

Mesoscale and Nanoscale Physics · Physics 2012-08-21 Alessandro Principi , Matteo Carrega , Reza Asgari , Vittorio Pellegrini , Marco Polini

This review will deal with several types of free charge localisation in oxides and their consequences on the effective dielectric spectra of such materials. The first one is the polaronic localisation at the unit cell scale on residual…

Materials Science · Physics 2010-06-21 Mario Maglione

In the presence of the charged impurities, we study the weak localization (WL) effect by evaluating the quantum interference correction (QIC) to the conductivity of Dirac fermions in graphene. With the inelastic scattering rate due to…

Strongly Correlated Electrons · Physics 2008-12-22 Xin-Zhong Yan , C. S. Ting

Based on the original combination of analytical methods, computer algebra tools and numerical calculations, proposed recently in Refs. [1]-[3], the non-perturbative vacuum polarization effects in the 2+1 D supercritical Dirac-Coulomb system…

High Energy Physics - Theory · Physics 2018-01-08 Andrey Davydov , Konstantin Sveshnikov , Yulia Voronina

We reveal that optical saturation of the low-energy states takes place in graphene for arbitrarily weak electromagnetic fields. This effect originates from the diverging field-induced interband coupling at the Dirac point. Using…

Mesoscale and Nanoscale Physics · Physics 2024-01-02 Behrooz Semnani , Roland Jago , Safieddin Safavi-Naeini , Amir Hamed Majedi , Ermin Malic , Philippe Tassin

The full counting statistics for the charge transport through an undoped graphene sheet in the presence of strong potential impurities is studied. Treating the scattering off the impurity in the s-wave approximation, we calculate the…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 M. Titov , P. M. Ostrovsky , I. V. Gornyi , A. Schuessler , A. D. Mirlin

We argue, for a wide class of systems including graphene, that in the low temperature, high density, large separation and strong screening limits the drag resistivity behaves as d^{-4}, where d is the separation between the two layers. The…

Mesoscale and Nanoscale Physics · Physics 2015-03-20 B Amorim , N M R Peres

A remarkable manifestation of the quantum character of electrons in matter is offered by graphene, a single atomic layer of graphite. Unlike conventional solids where electrons are described with the Schrodinger equation, electronic…

Mesoscale and Nanoscale Physics · Physics 2008-09-16 Z. Q. Li , E. A. Henriksen , Z. Jiang , Z. Hao , M. C. Martin , P. Kim , H. L. Stormer , D. N. Basov

We calculate the carrier density dependent ground state properties of graphene in the presence of random charged impurities in the substrate taking into account disorder and interaction effects non-perturbatively on an equal footing in a…

Mesoscale and Nanoscale Physics · Physics 2008-10-17 Enrico Rossi , S. Das Sarma