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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…

介观与纳米尺度物理 · 物理学 2009-02-03 A. Schuessler , P. M. Ostrovsky , I. V. Gornyi , A. D. Mirlin

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…

介观与纳米尺度物理 · 物理学 2016-07-12 Piranavan Kumaravadivel , Xu Du

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…

介观与纳米尺度物理 · 物理学 2010-09-03 M. A. Laakso , T. T. Heikkilä

Transport properties through wide and short ballistic graphene junctions are studied in the presence of arbitrary dopings and magnetic fields. No dependence on the magnetic field is observed at the Dirac point for any current cumulant, just…

介观与纳米尺度物理 · 物理学 2007-05-23 Elsa Prada , Pablo San-Jose , Bernhard Wunsch , Francisco Guinea

We study the transition from ballistic to diffusive and localized transport in graphene nanoribbons in the presence of binary disorder, which can be generated by chemical adsorbates or substitutional doping. We show that the interplay…

介观与纳米尺度物理 · 物理学 2009-06-18 Petra Dietl , Georgo Metalidis , Dmitri Golubev , Pablo San-Jose , Elsa Prada , Henning Schomerus , Gerd Schön

We investigate charge and energy transport in monolayer graphene with smooth finite-range disorder, modeled by soft impurity potentials. Using a continuum Dirac model, we go beyond the Born approximation by computing the exact scattering…

介观与纳米尺度物理 · 物理学 2026-05-27 Juan A. Cañas , Daniel A. Bonilla , J. C. Pérez-Pedraza , A. Martín-Ruiz

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…

介观与纳米尺度物理 · 物理学 2011-11-10 D. S. Novikov

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…

介观与纳米尺度物理 · 物理学 2020-04-01 Farhana Anwar , Andrii Iurov , Danhong Huang , Godfrey Gumbs , Ashwani Sharma

The phase space for graphene's minimum conductivity $\sigma_\mathrm{min}$ is mapped out using Landauer theory modified for scattering using Fermi's Golden Rule, as well as the Non-Equilibrium Green's Function (NEGF) simulation with a Monte…

介观与纳米尺度物理 · 物理学 2015-11-11 Redwan N. Sajjad , Frank Tseng , K. M. Masum Habib , Avik W. Ghosh

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…

介观与纳米尺度物理 · 物理学 2013-09-18 Mario F. Borunda , H. Hennig , Eric J. Heller

Charge transport at the Dirac point in bilayer graphene exhibits two dramatically different transport states, insulating and metallic, that occur in apparently otherwise indistinguishable experimental samples. We demonstrate that the…

材料科学 · 物理学 2017-09-01 Sam Shallcross , Sangeeta Sharma , Heiko B. Weber

We present a theory of electronic transport in graphene in the presence of randomly placed adsorbates. Our analysis predicts a marked asymmetry of the conductivity about the Dirac point, as well as a negative weak-localization…

介观与纳米尺度物理 · 物理学 2008-11-05 John P. Robinson , Henning Schomerus , Laszlo Oroszlany , Vladimir I. Fal'ko

The role of defect-induced zero-energy modes on charge transport in graphene is investigated using Kubo and Landauer transport calculations. By tuning the density of random distributions of monovacancies either equally populating the two…

介观与纳米尺度物理 · 物理学 2013-05-13 Alessandro Cresti , Frank Ortmann , Thibaud Louvet , Dinh Van Tuan , Stephan Roche

We study quantum transport in Dirac materials with a single fermionic Dirac cone (strong topological insulators and graphene in the absence of intervalley coupling) in the presence of non-Gaussian long-range disorder. We show, by directly…

介观与纳米尺度物理 · 物理学 2012-09-04 E. Rossi , J. H. Bardarson , M. S. Fuhrer , S. Das Sarma

Charge transport in disordered two-dimensional (2D) systems showcases a myriad of unique phenomenologies that highlight different aspects of the underlying quantum dynamics. Electrons in such systems undergo a crossover from ballistic…

介观与纳米尺度物理 · 物理学 2025-11-18 H. P. Veiga , S. M. João , J. M. Alendouro Pinho , J. P. Santos Pires , J. M. Viana Parente Lopes

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…

无序系统与神经网络 · 物理学 2013-02-12 H. Amanatidis , I. Kleftogiannis , D. E. Katsanos , S. N. Evangelou

In low temperature limit, we study electron counting statistics of a disordered conductor. We derive an expression for the distribution of charge transmitted over a finite time interval by using a result from the random matrix theory of…

凝聚态物理 · 物理学 2008-04-12 Hyunwoo Lee , A. Yu. Yakovetz , L. S. Levitov

We predict the existence of an intriguing "disorder by order" phenomenon in graphene transport where higher quality (and thus more ordered) samples, while having higher mobility at high carrier density, will manifest more strongly…

介观与纳米尺度物理 · 物理学 2012-05-25 S. Das Sarma , E. H. Hwang , Qiuzi Li

Charge carriers in graphene are chiral quasiparticles ("massless Dirac fermions"). Graphene provides therefore an amazing opportunity to study subtle quantum relativistic effects in condensed matter experiment. Here I review a theory of one…

介观与纳米尺度物理 · 物理学 2011-05-12 M. I. Katsnelson

We compare a fully quantum mechanical numerical calculation of the conductivity of graphene to the semiclassical Boltzmann theory. Considering a disorder potential that is smooth on the scale of the lattice spacing, we find quantitative…

介观与纳米尺度物理 · 物理学 2009-05-28 Shaffique Adam , Piet W. Brouwer , S. Das Sarma
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