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We study the dynamics of carriers in graphene subjected to an inhomogeneous magnetic field. For a magnetic field with an hyperbolic profile the corresponding Dirac equation can be analyzed within the formalism of supersymmetric quantum…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Enrique Milpas , Manuel Torres , Gabriela Murguía

We report measurements of the thermopower $S$ and Nernst signal $S_{yx}$ in graphene in a magnetic field $H$. Both quantities show strong quantum oscillations vs. the gate voltage $V_g$. Our measurements for Landau Levels of index $n\ne 0$…

Mesoscale and Nanoscale Physics · Physics 2009-09-11 Joseph G. Checkelsky , N. P. Ong

Bilayer graphene (BLG) at the charge neutrality point (CNP) is strongly susceptible to electronic interactions, and expected to undergo a phase transition into a state with spontaneous broken symmetries. By systematically investigating a…

Mesoscale and Nanoscale Physics · Physics 2012-08-01 Wenzhong Bao , Jairo Velasco , Fan Zhang , Lei Jing , Brian Standley , Dmitry Smirnov , Marc Bockrath , Allan MacDonald , Chun Ning Lau

Quantized magnetotransport is observed in 5.6 x 5.6 mm^2 epitaxial graphene devices, grown using highly constrained sublimation on the Si-face of SiC(0001) at high temperature (1900 {\deg}C). The precise quantized Hall resistance of Rxy =…

Graphene two-dimensional nature combined with today lithography allows to achieve nanoelectronics devices smaller than the Dirac electrons wavelength. Here we show that in these graphene subwavelength nanodevices the electronic quantum…

Mesoscale and Nanoscale Physics · Physics 2010-09-08 Pierre Darancet , Valerio Olevano , Didier Mayou

Quantum anomalous Hall state is expected to emerge in Dirac electron systems such as graphene under both sufficiently strong exchange and spin-orbit interactions. In pristine graphene, neither interaction exists; however, both interactions…

Mesoscale and Nanoscale Physics · Physics 2017-10-12 Chi Tang , Bin Cheng , Mohammed Aldosary , Zhiyong Wang , Zilong Jiang , K. Watanabe , T. Taniguchi , Marc Bockrath , Jing Shi

We investigate the effects of uniaxial strain on the transport properties of vertical devices made of two twisted graphene layers, which partially overlap each other. We find that because of the different orientations of the two graphene…

Mesoscale and Nanoscale Physics · Physics 2015-02-26 Viet Hung Nguyen , Huy-Viet Nguyen , Jerome Saint Martin , Philippe Dollfus

We have measured the magneto-resistance of freely suspended high-mobility bilayer graphene. For magnetic fields $B>1$ T we observe the opening of a field induced gap at the charge neutrality point characterized by a diverging resistance.…

Mesoscale and Nanoscale Physics · Physics 2012-07-03 H. J. van Elferen , A. Veligura , E. V. Kurganova , U. Zeitler , J. C. Maan , N. Tombros , I. J. Vera-Marun , B. J. van Wees

When an energy gap is induced in monolayer graphene the valley degeneracy is broken and the energy spectrum of a confined system such as a quantum dot, becomes rather complex exhibiting many irregular level crossings and small energy…

Mesoscale and Nanoscale Physics · Physics 2021-08-11 G. Giavaras

Electron properties of graphene are described in terms of Dirac fermions. Here we thoroughly outline the elastic scattering theory for the two-dimensional massive Dirac fermions in the presence of an axially symmetric potential. While the…

Mesoscale and Nanoscale Physics · Physics 2011-11-10 D. S. Novikov

An energy gap can be opened in the electronic spectrum of graphene by lifting its sublattice symmetry. In bilayers, it is possible to open gaps as large as 0.2 eV. However, these gaps rarely lead to a highly insulating state expected for…

The ultrafast dynamics of excited carriers in graphene is closely linked to the Dirac spectrum and plays a central role for many electronic and optoelectronic applications. Harvesting energy from excited electron-hole pairs, for instance,…

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 study of vacancies in graphene is a topic of growing interest. A single vacancy induces a localized stable charge of order unity interacting with other charges of the conductor through an unscreened Coulomb potential. It also breaks the…

Mesoscale and Nanoscale Physics · Physics 2020-08-11 Omrie Ovdat , Yaroslav Don , Eric Akkermans

We consider massless Dirac fermions in a graphene monolayer subject to both a perpendicular magnetic field $B$ and a proximity-induced pairing gap $\Delta$. When the chemical potential is at the Dirac point, our exact solution of the…

Mesoscale and Nanoscale Physics · Physics 2017-10-30 L. Cohnitz , A. De Martino , W. Häusler , R. Egger

We present realistic simulations of quantum confinement effects in ballistic graphene quantum dots with linear dimensions of 10 to 40 nm. We determine wavefunctions and energy level statistics in the presence of disorder resulting from edge…

Mesoscale and Nanoscale Physics · Physics 2009-03-18 F. Libisch , C. Stampfer , J. Burgdörfer

The general covariance of the Dirac equation is exploited in order to explore the curvature effects appearing in the electronic properties of graphene. Two physical situations are then considered: the weak curvature regime, with…

Mesoscale and Nanoscale Physics · Physics 2017-03-29 Pavel Castro-Villarreal , R. Ruiz-Sánchez

We explore the optical properties of periodic layered media containing left-handed metamaterials. This study is based on several analogies between the propagation of light in metamaterials and charge transport in graphene. We derive the…

Optics · Physics 2013-08-09 Yury P. Bliokh , Valentin Freilikher , Franco Nori

We discuss the possibility of superconductivity in graphene taking into account both electron-phonon and electron-electron Coulomb interactions. The analysis is carried out assuming that the Fermi energy is far away from the Dirac points,…

Superconductivity · Physics 2011-12-13 M. Einenkel , K. B. Efetov

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
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