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Non-diffusive effects in charge transport become relevant as device sizes and features become comparable to the electronic mean free path. As a model system, we investigate the electric transport around mesoscopic defects in graphene with…

Mesoscale and Nanoscale Physics · Physics 2025-10-03 Toni Markovic , Wei Huang , William S. Huxter , Pietro Gambardella , Sebastian Stepanow

The carriers in graphene tuned close to the Dirac point envisage signatures of the strongly interacting fluid and are subject to hydrodynamic description. The important question is whether strong disorder induces the metal-insulator…

High Energy Physics - Theory · Physics 2020-03-18 Marek Rogatko , Karol I. Wysokinski

We study the the transport properties of multiterminal ballistic graphene samples, concentrating on the conductance matrix, fluctuations and cross-correlations. Far away from Dirac point, the current is carried mostly by propagating modes…

Mesoscale and Nanoscale Physics · Physics 2010-09-03 M. A. Laakso , T. T. Heikkilä

We present exact results for the electronic transport properties of graphene sheets connected to two metallic electrodes. Our results, obtained by transfer-matrix methods, are valid for all sheet widths and lengths. In the limit of large…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Shijie Hu , Wei Du , Guiping Zhang , Miao Gao , Zhong-Yi Lu , Xiaoqun Wang

The conductance of ballistic graphene at the neutrality point is due to coherent electron tunneling between the leads, the so called pseudodiffusive regime. The conductance scales as function of the sample dimensions in the same way as in a…

Mesoscale and Nanoscale Physics · Physics 2014-09-17 F. Guinea , M. I. Katsnelson

An analytic theory of electron transport in disordered graphene in a ballistic geometry is developed. We consider a sample of a large width W and analyze the evolution of the conductance, the shot noise, and the full statistics of the…

Mesoscale and Nanoscale Physics · Physics 2009-02-03 A. Schuessler , P. M. Ostrovsky , I. V. Gornyi , A. D. Mirlin

We develop an exactly solvable classical kinetic model of transport in Dirac materials accounting for strong electron-electron (e-e) and electron-hole (e-h) collisions. We use this model to track the evolution of graphene conductivity and…

Mesoscale and Nanoscale Physics · Physics 2018-04-04 Dmitry Svintsov

The process of coherent creation of particle - hole excitations by an electric field in graphene is quantitatively described using a dynamic "first quantized" approach. We calculate the evolution of current density, number of pairs and…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 H. C. Kao , M. Lewkowicz , B. Rosenstein

In Dirac materials, the low energy excitations behave like ultra-relativistic massless particles with linear energy dispersion. A particularly intriguing phenomenon arises with the intrinsic charge transport behavior at the Dirac point…

Mesoscale and Nanoscale Physics · Physics 2016-07-12 Piranavan Kumaravadivel , Xu Du

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 investigate the electron-hole two-stream instability (or Coulomb drag) in intrinsic bilayer graphene in the hydrodynamic regime, accounting for the effects of temperature, initial drift velocity, magnetic field, and collisions. The…

Mesoscale and Nanoscale Physics · Physics 2022-12-05 Vasco Pinhão , Pedro Cosme , Hugo Terças

We investigate the transport of electrons in disordered and pristine graphene devices. Fano shot noise, a standard metric to assess the mechanism for electronic transport in mesoscopic devices, has been shown to produce almost the same…

Mesoscale and Nanoscale Physics · Physics 2013-09-18 Mario F. Borunda , H. Hennig , Eric J. Heller

We investigate the ballistic electron transport in a monolayer graphene with configurational averaged impurities, located between two clean graphene leads. It is shown that the electron transmission are strongly dependent on the…

Mesoscale and Nanoscale Physics · Physics 2014-05-28 Juan Sebastian Ardenghi , Pablo Bechthold , Estela Gonzalez , Paula Jasen , Alfredo Juan

A ballistic strip of graphene (width W>> length L) connecting two normal metal contacts is known to have a minimum conductivity of 4e^{2}/pi h at the Dirac point of charge neutrality. We calculate what happens if one of the two contacts…

Mesoscale and Nanoscale Physics · Physics 2013-07-09 A. R. Akhmerov , C. W. J. Beenakker

In the effective mass approximation, electronic property in graphene can be characterized by the relativistic Dirac equation. Within such a continuum model we investigate the electronic transport through graphene waveguides formed by…

Strongly Correlated Electrons · Physics 2015-05-13 Haidong Li , Lin Wang , Zhihuan Lan , Yisong Zheng

The dynamical conductivity of interacting multiband electronic systems derived in Ref.[1] is shown to be consistent with the general form of the Ward identity. Using the semiphenomenological form of this conductivity formula, we have…

Mesoscale and Nanoscale Physics · Physics 2015-01-09 I. Kupcic

Ballistic transport occurs whenever electrons propagate without collisions deflecting their trajectory. It is normally observed in conductors with a negligible concentration of impurities, at low temperature, to avoid electron-phonon…

Mesoscale and Nanoscale Physics · Physics 2018-04-25 Youngwoo Nam , Dong-Keun Ki , David Soler-Delgado , Alberto F. Morpurgo

The process of coherent creation of particle - hole excitations by an electric field in graphene is quantitatively described beyond linear response. We calculate the evolution of current density, number of pairs and energy in ballistic…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 B. Rosenstein , M. Lewkowicz , H. C. Kao , Y. Korniyenko

We report on a first-principles study of the conductance through graphene suspended between Al contacts as a function of junction length, width, and orientation. The charge transfer at the leads and into the freestanding section gives rise…

Materials Science · Physics 2010-02-19 Salvador Barraza-Lopez , Mihajlo Vanevic , Markus Kindermann , Mei-Yin Chou

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
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