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The quantum oscillations of nonlinear magnetoresistance in graphene that occurs in response to a dc current bias are investigated. We present a theoretical model for the nonlinear magnetotransport of graphene carriers. The model is based on…

Mesoscale and Nanoscale Physics · Physics 2014-02-13 Ricardo Gutierrez-Jauregui , Manuel Torres

We study electronic quantum transport in graphene nanoribbon (GNR) networks on mesoscopic length scales. We focus on zigzag GNRs and investigate the conductance properties of statistical networks. To this end we use a…

Mesoscale and Nanoscale Physics · Physics 2023-01-11 Tom Simon Rodemund , Fabian Teichert , Martina Hentschel , Jörg Schuster

We present transport measurements on quantum dots of sizes 45, 60 and 80 nm etched with an Ar/O2-plasma into a single graphene sheet, allowing a size comparison avoiding effects from different graphene flakes. The transport gaps and…

Mesoscale and Nanoscale Physics · Physics 2013-08-01 D. Kölbl , D. M. Zumbühl

We study the temperature-dependent corrections to the conductance due to electron-electron (e-e) interactions in clean two-dimensional conductors, such as lightly doped graphene or other Dirac matter. We use semiclassical Boltzmann kinetic…

Mesoscale and Nanoscale Physics · Physics 2018-08-01 A. Uzair , K. Sabeeh , Markus Mueller

We employ the formalism of bond currents, expressed in terms of the nonequilibrium Green functions, to image the charge flow between two sites of the honeycomb lattice of graphene ribbons of few nanometers width. In sharp contrast to…

Mesoscale and Nanoscale Physics · Physics 2007-10-18 Liviu P. Zarbo , Branislav K. Nikolic

Semi-Dirac semimetals have received enthusiastic research both theoretically and experimentally in the recent years. Due to the anisotropic dispersion, its physical properties are highly direction-dependent. In this work we employ the…

Mesoscale and Nanoscale Physics · Physics 2022-03-08 Shihao Bi , Yiting Deng , Yan He , Peng Li

We present a detailed study of the high-current transport properties of graphene devices patterned in a four-point configuration. The current tends to saturate as the voltage across graphene is increased but never reaches the complete…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Amelia Barreiro , Michele Lazzeri , Joel Moser , Francesco Mauri , Adrian Bachtold

Within the Landauer transport formalism we demonstrate that conductance zeroes are possible in bipartite systems at half-filling when leads are contacted to different sublattice sites. In particular, we investigate the application of this…

Mesoscale and Nanoscale Physics · Physics 2020-07-10 M. Nita , M. Tolea , D. C. Marinescu

In this paper we study transport properties of electrons on the two-dimensional honeycomb lattice. We consider a half-filled system in the vicinity of a symmetry-breaking transition from a semimetallic phase towards an insulating phase with…

Strongly Correlated Electrons · Physics 2015-05-20 Lars Fritz

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

We study the macroscopic transport properties of the quantum Lorentz gas in a crystal with short-range potentials, and show that in the Boltzmann-Grad limit the quantum dynamics converges to a random flight process which is not compatible…

Mathematical Physics · Physics 2021-08-18 Jory Griffin , Jens Marklof

Quite a many electron transport problems in condensed matter physics are analyzed with a quasiparticle Boltzmann equation. For sufficiently slowly varying weak external potentials it can be derived from the basic equations of quantum…

Materials Science · Physics 2024-01-12 F. X. Bronold , F. Willert

While the quantum Hall effect in graphene has been regarded as a realization of the anomaly associated with the massless Dirac particle carrying half the usual topological integer, this is hidden due to the doubling of the Dirac cones. In…

Mesoscale and Nanoscale Physics · Physics 2014-08-01 Haruki Watanabe , Yasuhiro Hatsugai , Hideo Aoki

The unconventional properties of graphene, with a massless Dirac band dispersion and large coherence properties, have raised a large interest for applications in nanoelectronics. In this work, we emphasize that graphene two dimensional…

Mesoscale and Nanoscale Physics · Physics 2008-08-27 Pierre Darancet , Valerio Olevano , Didier Mayou

We present a unified view of electric transport in undoped clean graphene for finite electric field. The weak field results agree with the Kubo approach. For strong electric field, the current increases non-linearly with the electric field…

Mesoscale and Nanoscale Physics · Physics 2010-04-22 Balázs Dóra , Roderich Moessner

This paper concerns the asymmetric transport associated with a low-energy interface Dirac model of graphene-type materials subject to external magnetic and electric fields. We show that the relevant physical observable, an interface…

Mathematical Physics · Physics 2024-05-22 Solomon Quinn , Guillaume Bal

In two dimensions chaotic level-statistics is expected for massless Dirac fermions in the presence of disorder. For weakly disordered graphene flakes with zigzag edges the obtained level-spacing distribution in the Dirac region is neither…

Disordered Systems and Neural Networks · Physics 2013-02-12 H. Amanatidis , I. Kleftogiannis , D. E. Katsanos , S. N. Evangelou

Applying a quasiclassical equation to carriers in graphene we found a way how to distinguish between samples with the domination of short and long range scatterers from the conductivity measurements. The model proposed explains recent…

Mesoscale and Nanoscale Physics · Physics 2008-06-12 Maxim Trushin , John Schliemann

We investigate cyclotron motion in graphene monolayers considering both the full quantum dynamics and its semiclassical limit reached at high carrier energies. Effects of zitterbewegung due to the two dispersion branches of the spectrum…

Mesoscale and Nanoscale Physics · Physics 2008-04-16 John Schliemann

Recently, an exotic quantum Hall ferromagnet with spin-filtered helical edge modes was observed in monolayer graphene on a high-dielectric constant substrate at moderate magnetic fields, withstanding temperatures of up to 110 Kelvin [L.…

Disordered Systems and Neural Networks · Physics 2023-09-13 Yue-Ran Ding , Dong-Hui Xu , Chui-Zhen Chen