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In this paper the mono-layer graphene at the charge neutrality point is considered whithin Thomas-Fermi-Dirac theory, treating inhomogeneous external potentials and electron-electron interactions on equal footing. We present some general…

Statistical Mechanics · Physics 2016-09-26 M. N. Najafi , M. Ghasemi Nezhadhaghighi

Due to its ultrahigh electron transmissivity in a wide electron energy range, molecular impermeability, high electrical conductivity and excellent mechanical stiffness the suspended graphene membranes appear to be a nearly ideal window…

Materials Science · Physics 2015-06-11 Joshua D. Stoll , Andrei Kolmakov

We have performed scanning gate microscopy (SGM) on graphene field effect transistors (GFET), using a biased metallic nanowire coated with a dielectric layer as a contact mode tip and local top gate. Electrical transport through graphene at…

Although massless Dirac fermions in graphene constitute a centrosymmetric medium for in-plane excitations, their second-order nonlinear optical response is nonzero if the effects of spatial dispersion are taken into account. Here we present…

Mesoscale and Nanoscale Physics · Physics 2016-12-07 Yongrui Wang , Mikhail Tokman , Alexey Belyanin

The link between changes in the material crystal structure and its mechanical, electronic, magnetic, and optical functionalities - known as the structure-property relationship - is the cornerstone of the contemporary materials science…

Materials Science · Physics 2016-11-23 Maxim Ziatdinov , Shintaro Fujii , Manabu Kiguchi , Toshiaki Enoki , Stephen Jesse , Sergei Kalinin

We review the basic aspects of electrons in graphene (two-dimensional graphite) exposed to a strong perpendicular magnetic field. One of its most salient features is the relativistic quantum Hall effect the observation of which has been the…

Mesoscale and Nanoscale Physics · Physics 2011-11-24 M. O. Goerbig

We present extensive numerical results for the thermodynamic density of states (i.e. quantum capacitance) of a two-dimensional massless Dirac fermion fluid in a doped graphene sheet. In particular, by employing the random phase…

Mesoscale and Nanoscale Physics · Physics 2014-10-23 Reza Asgari , Mikhail I. Katsnelson , Marco Polini

Being a true two-dimensional crystal, graphene has special properties. In particular, a point-like defect in graphene may have effects in the long range. This peculiarity questions the validity of using a supercell geometry in an attempt to…

Materials Science · Physics 2015-06-05 Philippe Lambin , Hakim Amara , François Ducastelle , Luc Henrard

Screened plasmon properties of graphene near a perfect electric conductor are investigated using classical electrodynamics and a linearized hydrodynamic model that includes Fermi correction. A general expression for the dispersion relation…

Optics · Physics 2023-08-08 Afshin Moradi , Nurhan Turker Tokan

We solve a nonlinear integral equation for the electrostatic potential in doped graphene due to an external charge, arising from a Thomas-Fermi (TF) model for screening by graphene's $\pi$ electron bands. In particular, we study the effects…

Mesoscale and Nanoscale Physics · Physics 2010-06-10 M. Ghaznavi , Z. L. Miskovic , F. O. Goodman

We have studied the dielectric screening of electric field which is induced by a gate voltage in twisted double bilayer graphene by using a sample with a mismatch angle of about 5 degrees. In low temperature magnetotransport measurements,…

Mesoscale and Nanoscale Physics · Physics 2021-11-17 Fumiya Mukai , Kota Horii , Nazuna Hata , Ryoya Ebisuoka , Kenji Watanabe , Takashi Taniguchi , Ryuta Yagi

In the presence of axial magnetic fields that can be realized in deliberately buckled monolayer graphene, quasi-relativistic Dirac fermions may find themselves in a variety of broken symmetry phases even for weak interactions. Through a…

Mesoscale and Nanoscale Physics · Physics 2014-09-03 Bitan Roy , Jay D. Sau

Ultraclean graphene at charge neutrality hosts a quantum critical Dirac fluid of interacting electrons and holes. Interactions profoundly affect the charge dynamics of graphene, which is encoded in the properties of its electron-photon…

Charged impurity (CI) scattering is one of the dominant factors that affect the carrier mobility in graphene. In this paper, we use Raman spectroscopy to probe the charged impurities in suspended graphene. We find that the 2D band intensity…

We review the theoretical and experimental results connected with the electron states in two-dimensional Dirac systems paying a special attention to the atomic collapse in graphene. Two-electron bound states of a Coulomb impurity are…

Strongly Correlated Electrons · Physics 2018-06-15 E. V. Gorbar , V. P. Gusynin , O. O. Sobol

We report room temperature scanning tunneling microscopy and spectroscopy study of bilayer graphene prepared by mechanical exfoliation on SiO$_2$/Si surface and electrically contacted with gold pads using a mechanical mask. The bulk…

Mesoscale and Nanoscale Physics · Physics 2014-02-11 Shyam K. Choudhary , Anjan K. Gupta

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

Observing the individual building blocks of matter is one of the primary goals of microscopy. The invention of the scanning tunneling microscope [1] revolutionized experimental surface science in that atomic-scale features on a solid-state…

Materials Science · Physics 2008-08-04 Jannik C. Meyer , C. O. Girit , M. F. Crommie , A. Zettl

We introduce the idea that the electronic band structure of a charge density wave system may mimic the electronic structure of graphene. In that case a class of materials quite different from graphene might be opened up to exploit…

Mesoscale and Nanoscale Physics · Physics 2017-11-22 John M. Vail , Oscar J. Hernandez , Ming-Su Si , Zhoufei Wang

We employ scanning probe microscopy to reveal atomic structures and nanoscale morphology of graphene-based electronic devices (i.e. a graphene sheet supported by an insulating silicon dioxide substrate) for the first time. Atomic resolution…

Materials Science · Physics 2008-11-05 Masa Ishigami , J. H. Chen , W. G. Cullen , M. S. Fuhrer , E. D. Williams