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We use a combination of charge writing and scanning gate microscopy to map and modify the local charge neutrality point of graphene field-effect devices. We give a demonstration of the technique by writing remote charge in a thin dielectric…

Mesoscale and Nanoscale Physics · Physics 2012-09-12 M. R. Connolly , E. D. Herbschleb , R. K. Puddy , M. Roy , D. Anderson , G. A. C. Jones , P. Maksym , C. G. Smith

The ability of metal adsorption to transfer charge to the surface of single molecular carbon sheets is explored in this paper. Though other metals are considered we basically will deal with Lithium We concentrate on fairly small sheets and…

Materials Science · Physics 2008-01-14 Abraham F. Jalbout , Thomas H. Seligman

Formation of clusters of interlayer interstitial carbon atoms in graphite is studied by means of molecular dynamics simulation. It is shown that the deformation potential is attractive for interstitials located in one interlayer region and…

Materials Science · Physics 2007-05-23 V. F. Elesin , L. A. Openov

It is shown that a ``vacuum polarization'' induced by Coulomb potential in graphene leads to a strong suppression of electric charges even for undoped case (no charge carriers). A standard linear response theory is therefore not applicable…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. I. Katsnelson

Despite decades of intensive studies, the effective interactions between strongly charged colloids still remain elusive. Here we show that a strongly charged surface with a layer of condensed counter- ions behaves effectively as a…

Soft Condensed Matter · Physics 2011-07-12 Xiangjun Xing , Zhenli Xu , Hongru Ma

This paper provides a variational treatment of the effect of external charges on the free charges in an infinite free-standing graphene sheet within the Thomas-Fermi theory. We establish existence, uniqueness and regularity of the energy…

Analysis of PDEs · Mathematics 2024-09-12 Vitaly Moroz , Cyrill B. Muratov

The wave nature of electrons in low-dimensional structures manifests itself in conventional electrical measurements as a quantum correction to the classical conductance. This correction comes from the interference of scattered electrons…

Mesoscale and Nanoscale Physics · Physics 2009-03-27 F. V. Tikhonenko , A. A. Kozikov , A. K. Savchenko , R. V. Gorbachev

We numerically investigate crystalline order on negative Gaussian curvature capillary bridges. In agreement with the experimental results in [W. Irvine et al., Nature, "Pleats in crystals on curved surfaces", 2010, (468), 947]} we observe…

Soft Condensed Matter · Physics 2014-01-31 Verena Schmid , Axel Voigt

We study charge fractionalization in bilayer graphene which is intimately related to its zero modes. In the unbiased case, the valley zero modes occur in pairs rendering it unsuitable for charge fractionalization. A bias plays the role of a…

Mesoscale and Nanoscale Physics · Physics 2010-07-09 J. C. Martinez , M. B. A. Jalil , S. G. Tan

We investigate the effects of wedge disclination on charge carriers in circular graphene quantum dots subjected to a magnetic flux. Using the asymptotic solutions of the energy spectrum for large arguments, we approximate the scattering…

Mesoscale and Nanoscale Physics · Physics 2023-08-09 Ahmed Bouhlal , Ahmed Jellal , Nurisya Mohd Shah

We describe the weak localization correction to conductivity in ultra-thin graphene films, taking into account disorder scattering and the influence of trigonal warping of the Fermi surface. A possible manifestation of the chiral nature of…

Mesoscale and Nanoscale Physics · Physics 2009-03-12 K. Kechedzhi , E. McCann , Vladimir I. Fal'ko , H. Suzuura , T. Ando , B. L. Altshuler

The distribution of net electric charge in graphene is investigated, using both a constitutive atomic charge-dipole interaction model and an approximate analytical solution to Laplace's equation. We demonstrate a strong size dependence of…

Mesoscale and Nanoscale Physics · Physics 2009-09-21 Zhao Wang , Robert W. Scharstein

Atomic collapse is a phenomenon inherent to relativistic quantum mechanics where electron states dive in the positron continuum for highly charged nuclei. This phenomenon was recently observed in graphene. Here we investigate a novel…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 Robbe Van Pottelberge , Dean Moldovan , S. P. Milovanovic , Francois M. Peeters

We report on the investigation of magnetic field induced charge density wave and Hall coefficient sign reversal in a quasi-two dimensional electronic system of highly oriented pyrolytic graphite under very strong magnetic field. The change…

Mesoscale and Nanoscale Physics · Physics 2010-10-29 Amit Kumar , Jean-Marie Poumirol , Walter Escoffier , Michel Goiran , Bertrand Raquet , Jean Claude Pivin

In this report we discuss appropriate strategies for the tracking of charged particles in the limit of zero curvature. The suggested approach avoids special treatments and precision issues that frequently arise in that limit. We provide…

Instrumentation and Detectors · Physics 2021-09-03 J. Alcaraz Maestre

We investigate the energy spectrum, wave functions, and local density of states of an electrical dipole placed on a sheet of gapped graphene as function of the charge strength Z{\alpha} for different sizes of the dipole and for different…

Mesoscale and Nanoscale Physics · Physics 2018-10-22 R. Van Pottelberge , B. Van Duppen , F. M. Peeters

Charge quantization, or the absence thereof, is a central theme in quantum circuit theory, with dramatic consequences for the predicted circuit dynamics. Very recently, the question of whether or not charge should actually be described as…

Mesoscale and Nanoscale Physics · Physics 2021-05-05 Roman-Pascal Riwar

Graphitic carbon is currently considered the state-of-the-art material for the negative electrode in lithium-ion cells, mainly due to its high reversibility and low operating potential. However, carbon anodes exhibit mediocre…

We put forward a theory of the weak localization in two dimensional graphene layers which explains experimentally observable transition between positive and negative magnetoresistance. Calculations are performed for the whole range of…

Mesoscale and Nanoscale Physics · Physics 2014-10-15 M. O. Nestoklon , N. S. Averkiev

Van der Waals heterostructures display a rich variety of unique electronic properties. To identify novel transport mechanisms, nonlocal measurements have been widely used, wherein a voltage is measured at contacts placed far away from the…