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We analyze the nature of the single particle states, away from the Dirac point, in the presence of long-range charge impurities in a tight-binding model for electrons on a two-dimensional honeycomb lattice which is of direct relevance for…

Mesoscale and Nanoscale Physics · Physics 2016-06-22 Sabyasachi Nag , Arti Garg , T. V. Ramakrishnan

We have investigated shot noise in graphene field effect devices in the temperature range of 4.2--30 K at low frequency ($f$ = 600--850 MHz). We find that for our graphene samples with large width over length ratio $W/L$, the Fano factor…

Mesoscale and Nanoscale Physics · Physics 2008-07-01 R. Danneau , F. Wu , M. F. Craciun , S. Russo , M. Y. Tomi , J. Salmilehto , A. F. Morpurgo , P. J. Hakonen

We report high magnetic field scanning tunneling microscopy and Landau level spectroscopy of twisted graphene layers grown by chemical vapor deposition. For twist angles exceeding ~3 degrees the low energy carriers exhibit Landau level…

Mesoscale and Nanoscale Physics · Physics 2011-04-18 A. Luican , Guohong Li , A. Reina , J. Kong , R. R. Nair , K. S. Novoselov , A. K. Geim , E. Y. Andrei

Strongly correlated electron liquids which occur in quantizing magnetic fields reveal a cornucopia of fascinating quantum phenomena such as fractionally charged quasiparticles, anyonic statistics, topological order, and many others. Probing…

Mesoscale and Nanoscale Physics · Physics 2010-03-09 D. A. Abanin , I. Skachko , X. Du , E. Y. Andrei , L. S. Levitov

We report on resonance Raman spectroscopy measurements with excitation photon energy down to 1.16 eV on graphene, to study how low-energy carriers interact with lattice vibrations. Thanks to the excitation energy close to the Dirac point at…

Dirac-electronic tunneling and nonlinear transport properties with both finite and zero energy bandgap are investigated for graphene with a tilted potential barrier under a bias. For validation, results from a finite-difference based…

Mesoscale and Nanoscale Physics · Physics 2020-04-01 Farhana Anwar , Andrii Iurov , Danhong Huang , Godfrey Gumbs , Ashwani Sharma

We have investigated electrical transport and shot noise in graphene field effect devices. In large width over length ratio $W/L$ graphene strips, we have measured shot noise at low frequency ($f$ = 600--850 MHz) in the temperature range of…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 R. Danneau , F. Wu , M. F. Craciun , S. Russo , M. Y. Tomi , J. Salmilehto , A. F. Morpurgo , P. J. Hakonen

We evaluate the degree of disorder in electrolyte gating devices through the transport measurements in graphene. By comparing the mobility in ion- and standard metal-gated devices, we show that the deposition of the ionic liquid introduces…

Mesoscale and Nanoscale Physics · Physics 2016-06-22 Andrew Browning , Norio Kumada , Yoshiaki Sekine , Hiroshi Irie , Koji Muraki , Hideki Yamamoto

In this article, we propose a new numerical model for computation of the transport of electrons in a graphene device. The underlying quantum model for graphene is a massless Dirac equation, whose eigenvalues display a conical singularity…

Mathematical Physics · Physics 2016-11-23 Clotilde Fermanian Kammerer , Florian Méhats

The unusual transport properties of graphene are the direct consequence of a peculiar bandstructure near the Dirac point. We determine the shape of the pi bands and their characteristic splitting, and the transition from a pure 2D to…

Materials Science · Physics 2007-05-23 Taisuke Ohta , Aaron Bostwick , J. L. McChesney , Thomas Seyller , Karsten Horn , Eli Rotenberg

The response of Dirac fermions to a Coulomb potential is predicted to differ significantly from the behavior of non-relativistic electrons seen in traditional atomic and impurity systems. Surprisingly, many key theoretical predictions for…

Mesoscale and Nanoscale Physics · Physics 2013-05-02 Yang Wang , Victor W. Brar , Andrey V. Shytov , Qiong Wu , William Regan , Hsin-Zon Tsai , Alex Zettl , Leonid S. Levitov , Michael F. Crommie

We discuss the residual carrier density (n*) near the Dirac point (DP) in graphene estimated by quantum capacitance (CQ) and conductivity measurements. The CQ at the DP has a finite value and is independent of the temperature. A similar…

Materials Science · Physics 2013-07-04 K. Nagashio , T. Nishimura , A. Toriumi

The minimum of 4-terminal conductance occurring at its charge neutral point has proven to be a robust empirical feature of graphene, persisting with changes to temperature, applied magnetic field, substrate, and layer thickness, though the…

Mesoscale and Nanoscale Physics · Physics 2017-07-17 P. Cadden-Zimansky , M. Shinn , G. T. Myers , Y. Chu , M. J. Dalrymple , H. C. Travaglini

The ability to transport energy is a fundamental property of the two-dimensional Dirac fermions in graphene. Electronic thermal transport in this system is relatively unexplored and is expected to show unique fundamental properties and to…

Mesoscale and Nanoscale Physics · Physics 2013-08-13 K. C. Fong , Emma Wollman , Harish Ravi , Wei Chen , Aash Clerk , M. D. Shaw , H. G. LeDuc , K. C. Schwab

We report on magnetotransport measurements of multi-terminal suspended graphene devices. Fully developed integer quantum Hall states appear in magnetic fields as low as 2 T. At higher fields the formation of longitudinal resistance minima…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Fereshte Ghahari , Yue Zhao , Paul Cadden-Zimansky , Kirill Bolotin , Philip Kim

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

It is highly desirable to integrate graphene into existing semiconductor technology, where the combined system is thermodynamically stable yet maintain a Dirac cone at the Fermi level. Firstprinciples calculations reveal that a certain…

Mesoscale and Nanoscale Physics · Physics 2012-11-16 Yuanchang Li , Pengcheng Chen , Gang Zhou , Jia Li , Jian Wu , Bing-Lin Gu , S. B. Zhang , Wenhui Duan

Landau levels of AB-stacked four- to six-layer graphene were studied experimentally in the presence of a perpendicular electric field. The Landau levels at a low magnetic field showed a characteristic structure that originated from the…

Mesoscale and Nanoscale Physics · Physics 2019-12-25 Kota Horii , Tomoaki Nakasuga , Taiki Hirahara , Shingo Tajima , Ryoya Ebisuoka , Kenji Watanabe , Takashi Taniguchi , Ryuta Yagi

The complete theory of electrical conductivity of graphene at arbitrary temperature is developed with taken into account mass-gap parameter and chemical potential. Both the in-plane and out-of-plane conductivities of graphene are expressed…

Mesoscale and Nanoscale Physics · Physics 2017-12-25 G. L. Klimchitskaya , V. M. Mostepanenko , V. M. Petrov

Dirac electrons in finite graphene samples with zigzag edges under high magnetic fields (in the regime of Landau-level formation) are investigated with regard to their bulk-type and edge-type character. We employ tight-binding calculations…

Mesoscale and Nanoscale Physics · Physics 2011-02-16 Igor Romanovsky , Constantine Yannouleas , Uzi Landman
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