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Electron-hole asymmetry is a fundamental property in solids that can determine the nature of quantum phase transitions and the regime of operation for devices. The observation of electron-hole asymmetry in graphene and recently in the phase…

We study the conductivity of graphene with a smooth but particle-hole-asymmetric disorder potential. Using perturbation theory for the weak-disorder regime and numerical calculations we investigate how the particle-hole asymmetry shifts the…

Mesoscale and Nanoscale Physics · Physics 2016-01-12 Max Hering , Martin Schneider , Piet W. Brouwer

A theoretical model is proposed to describe asymmetric gate-voltage dependence of conductance and noise in two-terminal ballistic graphene devices. The model is analyzed independently within the self-consistent Hartree and Thomas-Fermi…

Mesoscale and Nanoscale Physics · Physics 2011-07-08 W. -R. Hannes , M. Jonson , M. Titov

Graphitic nitrogen-doped graphene is an excellent platform to study scattering processes of massless Dirac fermions by charged impurities, in which high mobility can be preserved due to the absence of lattice defects through direct…

Mesoscale and Nanoscale Physics · Physics 2017-06-05 Jiayu Li , Li Lin , Dingran Rui , Qiucheng Li , Jincan Zhang , Ning Kang , Yanfeng Zhang , Hailin Peng , Zhongfan Liu , H. Q. Xu

Effect of doping of graphene either by Boron (B), Nitrogen (N) or co-doped by B and N is studied using density functional theory. Our extensive band structure and density of states calculations indicate that upon doping by N (electron…

Mesoscale and Nanoscale Physics · Physics 2012-07-31 Sugata Mukherjee , T. P. Kaloni

The fate of the low-temperature conductance at the charge-neutrality (Dirac) point in a single sheet of graphene is investigated down to 20 mK. As the temperature is lowered, the peak resistivity diverges with a power-law behavior and…

Mesoscale and Nanoscale Physics · Physics 2014-04-23 F. Amet , J. R. Williams , K. Watanabe , T. Taniguchi , D. Goldhaber-Gordon

The electron-hole symmetry in the structure "graphene - insulating substrate -semiconductor gate" is violated due to an asymmetrical drop of potential in the semiconductor gate under positive or negative biases. The gate voltage…

Mesoscale and Nanoscale Physics · Physics 2013-01-08 F. T. Vasko

The electron hole asymmetry has been measured in natural graphite using magneto-optical absorption measurements. A splitting is observed for the transitions at both the $K$-point and the $H$-point of the Brillouin zone of graphite where the…

Mesoscale and Nanoscale Physics · Physics 2011-11-14 P. Plochocka , P. Y. Solane , R. J. Nicholas , J. M. Schneider , B. A. Piot , D. K. Maude , O. Portugall , G. L. J. A. Rikken

We perform electrical transport measurements in graphene with several sample geometries. In particular, we design ``invasive'' probes crossing the whole graphene sheet as well as ``external'' probes connected through graphene side arms. The…

Mesoscale and Nanoscale Physics · Physics 2008-12-07 B. Huard , N. Stander , J. A. Sulpizio , D. Goldhaber-Gordon

We characterize the carrier density profile of the ground state of graphene in the presence of particle-particle interaction and random charged impurity for zero gate voltage. We provide detailed analysis on the resulting spatially…

Mesoscale and Nanoscale Physics · Physics 2017-03-15 M. N. Najafi , M. Ghasemi Nezhadhaghighi

Electrons in graphene aligned with hexagonal boron nitride are modelled by Dirac fermions in a correlated random-mass landscape subject to a scalar- and vector-potential disorder. We find that the system is insulating in the commensurate…

Mesoscale and Nanoscale Physics · Physics 2014-09-15 M. Titov , M. I. Katsnelson

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

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 electrical conductivity of suspended graphene has recently been measured for the first time, and found to behave as \sigma ~ \sqrt{|n|} as expected for Dirac quasiparticles at large carrier density. The charge inhomogeneity is strongly…

Strongly Correlated Electrons · Physics 2016-08-14 Joaquín E. Drut , Timo A. Lähde , Eero Tölö

We theoretically consider, comparing with the existing experimental literature, the electrical conductivity of gated monolayer graphene as a function of carrier density, temperature, and disorder in order to assess the prospects of…

Mesoscale and Nanoscale Physics · Physics 2013-01-28 S. Das Sarma , E. H. Hwang

We compute the DC and the optical conductivity of graphene for finite values of the chemical potential by taking into account the effect of disorder, due to mid-gap states (unitary scatterers) and charged impurities, and the effect of both…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 T. Stauber , N. M. R. Peres , A. H. Castro Neto

Disordered Fermi-Dirac distributions are used to model, within a straightforward and essentially phenomenological Boltzmann equation approach, the electron/hole transport across graphene puddles. We establish, with striking experimental…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 L. Moriconi , D. Niemeyer

Collisions between electrons and holes can dominate the carrier scattering in clean graphene samples in the vicinity of charge neutrality point. While electron-hole limited resistance in pristine gapless graphene is well-studied, its…

Mesoscale and Nanoscale Physics · Physics 2024-11-22 Arseny Gribachov , Vladimir Vyurkov , Dmitry Svintsov

The relativistic nature of Dirac electrons and holes in graphene profoundly affects the way they interact with impurities. Signatures of the relativistic behavior have been observed recently in scanning tunneling measurements on individual…

Mesoscale and Nanoscale Physics · Physics 2013-04-24 Atikur Rahman , Janice Wynn Guikema , Nina Markovic

The electronic density of states of graphene is equivalent to that of relativistic electrons. In the absence of disorder or external doping the Fermi energy lies at the Dirac point where the density of states vanishes. Although transport…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 J. Martin , N. Akerman , G. Ulbricht , T. Lohmann , J. H. Smet , K. von Klitzing , A. Yacoby
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