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The linear dispersion relation in graphene[1,2] gives rise to a surprising prediction: the resistivity due to isotropic scatterers (e.g. white-noise disorder[3] or phonons[4-8]) is independent of carrier density n. Here we show that…

Materials Science · Physics 2008-04-14 J. H. Chen , C. Jang , S. Xiao , M. Ishigami , M. S. Fuhrer

We theoretically study the atomic structure and energetics of silicon and silicon-nitrogen impurities in graphene. Using density-functional theory, we get insight into the atomic structures of the impurities, evaluate their formation…

Mesoscale and Nanoscale Physics · Physics 2016-01-20 Mikko M. Ervasti , Zheyong Fan , Andreas Uppstu , Arkady Krasheninnikov , Ari Harju

We have investigated a new feature of impurity cyclotron resonances common to various localized potentials of graphene. A localized potential can interact with a magnetic field in an unexpected way in graphene. It can lead to formation of…

Mesoscale and Nanoscale Physics · Physics 2014-07-25 S. C. Kim , S. -R. Eric Yang , A. H. MacDonald

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

The variable range hopping theory, as formulated for exponentially localized impurity states, does not necessarily apply in the case of graphene with covalently attached impurities. We analyze the localization of impurity states in graphene…

Mesoscale and Nanoscale Physics · Physics 2015-03-20 Sang-Zi Liang , Jorge O. Sofo

We study plasmonic resonances in electrostatically gated graphene nanoribbons on silicon dioxide substrates. Absorption spectra are measured in the mid-far infrared and reveal multiple peaks, with width-dependent resonant frequencies. We…

Mesoscale and Nanoscale Physics · Physics 2014-12-02 Isaac. J. Luxmoore , Choon How Gan , Peter Q. Liu , Federico Valmorra , Penglei Li , Jerome Faist , Geoffrey R. Nash

Experimentally produced graphene sheets exhibit a wide range of mobility values. Both extrinsic charged impurities and intrinsic ripples (corrugations) have been suggested to induce long-range disorder in graphene and could be a candidate…

Mesoscale and Nanoscale Physics · Physics 2016-05-13 Zheyong Fan , Andreas Uppstu , Ari Harju

We performed tunneling spectroscopy measurements of graphene coupled to niobium/niobium-nitride superconducting electrodes. Due to the proximity effect, the graphene density of states depends on the phase difference between the…

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

We analyze the scattering sector of the Hamiltonians for both gapless and gapped graphene in the presence of a charge impurity using the 2D Dirac equation, which is applicable in the long wavelength limit. We show that for certain range of…

Mesoscale and Nanoscale Physics · Physics 2011-04-07 Kumar S. Gupta , Andjelo Samsarov , Siddhartha Sen

The temperature ($\it T$) dependence of electrical resistivity in graphene has been experimentally investigated between 10 and 400 K for samples prepared on various substrates; HfO$_2$, SiO$_2$ and h-BN. The resistivity of graphene shows a…

Mesoscale and Nanoscale Physics · Physics 2019-07-29 Y. G. You , J. H. Ahn , B. H. Park , Y. Kwon , E. E. B. Campbell , S. H. Jhang

In this paper we investigate the electron-phonon contribution to the resistivity of suspended single layer graphene. In-plane as well as flexural phonons are addressed in different temperature regimes. We focus on the intrinsic…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Eros Mariani , Felix von Oppen

We calculate the electron-phonon scattering and binding in semiconducting carbon nanotubes, within a tight binding model. The mobility is derived using a multi-band Boltzmann treatment. At high fields, the dominant scattering is inter-band…

Materials Science · Physics 2009-11-10 Vasili Perebeinos , J. Tersoff , Phaedon Avouris

Two-dimensional carbon, or graphene, is a semi-metal that presents unusual low-energy electronic excitations described in terms of Dirac fermions. We analyze in a self-consistent way the effects of localized (impurities or vacancies) and…

Strongly Correlated Electrons · Physics 2009-11-11 N. M. R. Peres , F. Guinea , A. H. Castro Neto

Properties of phonons - quanta of the crystal lattice vibrations - in graphene have attracted strong attention of the physics and engineering communities. Acoustic phonons are the main heat carriers in graphene near room temperature while…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Denis L. Nika , Alexander A. Balandin

The coupling between a two-level system and its environment leads to decoherence. Within the context of coherent manipulation of electronic or quasiparticle states in nanostructures, it is crucial to understand the sources of decoherence.…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 P. Roulleau , S. Baer , T. Choi , F. Molitor , J. Güttinger , T. Müller , S. Dröscher , K. Ensslin , T. Ihn

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 develop a first-principles theory of resonant impurities in graphene and show that a broad range of typical realistic impurities leads to the characteristic sublinear dependence of the conductivity on the carrier concentration. By means…

Mesoscale and Nanoscale Physics · Physics 2010-07-30 T. O. Wehling , S. Yuan , A. I. Lichtenstein , A. K. Geim , M. I. Katsnelson

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

The optical conductivity of charge carriers coupled to quantum phonons is studied in the framework of the one-dimensional spinless Holstein model. For one electron, variational diagonalisation yields exact results in the thermodynamic…

Strongly Correlated Electrons · Physics 2007-06-13 Jan Loos , Martin Hohenadler , Andreas Alvermann , Holger Fehske