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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…

Mesoscale and Nanoscale Physics · Physics 2012-09-04 E. Rossi , J. H. Bardarson , M. S. Fuhrer , S. Das Sarma

Graphene provides a fascinating testbed for new physics and exciting opportunities for future applications based on quantum phenomena. To understand the coherent flow of electrons through a graphene device, we employ a nanoscale probe that…

Mesoscale and Nanoscale Physics · Physics 2010-01-29 J. Berezovsky , M. F. Borunda , E. J. Heller , R. M. Westervelt

Conductions fluctuations (CF) are studied in single layer graphene devices with superconducting source and drain contacts made from aluminium. The CF are found to be enhanced by superconductivity by a factor of 1.4 to 2. This (near)…

Mesoscale and Nanoscale Physics · Physics 2011-09-19 F. Freitag , J. Trbovic , C. Schönenberger

We study fluctuations of the conductance of micron-sized graphene devices as a function of the Fermi energy and magnetic field. The fluctuations are studied in combination with analysis of weak localization which is determined by the same…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 D. W. Horsell , A. K. Savchenko , F. V. Tikhonenko , K. Kechedzhi , I. V. Lerner , V. I. Fal'ko

We report measurements of magnetoresistance in single-layer graphene as a function of gate voltage (carrier density) at 250 mK. By examining signatures of weak localization (WL) and universal conductance fluctuations (UCF), we find a…

Materials Science · Physics 2015-05-14 Yung-Fu Chen , Myung-Ho Bae , Cesar Chialvo , Travis Dirks , Alexey Bezryadin , Nadya Mason

Effects of disorder on the electronic transport properties of graphene are strongly affected by the Dirac nature of the charge carriers in graphene. This is particularly pronounced near the Dirac point, where relativistic charge carriers…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Atikur Rahman , Janice Wynn Guikema , Nina Markovic

Motivated by recent graphene transport experiments, we have undertaken a numerical study of the conductivity of disordered two-dimensional massless Dirac fermions. Our results reveal distinct differences between the cases of short-range and…

Mesoscale and Nanoscale Physics · Physics 2008-06-30 Kentaro Nomura , A. H. MacDonald

We measured the conductance fluctuation of bi- and trilayer graphene devices prepared on mechanical exfoliated graphene by an all-dry, lithography-free process using an ultrathin quartz filament as a shadow mask. Reproducible fluctuations…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Neal E. Staley , Conor Puls , Ying Liu

We propose a unified description of transport in graphene with adsorbates that fully takes into account localization effects and loss of electronic coherence due to inelastic processes. We focus in particular on the role of the scattering…

Mesoscale and Nanoscale Physics · Physics 2013-11-28 Guy Trambly De Laissardière , Didier Mayou

We consider the Zitterbewegung of Dirac electrons in the monolayer graphene as the nonrelativistic analog of the phenomenon predicted by E. Schr\"odinger for the relativistic electrons in the free space. So we show that the Dirac electrons…

Mesoscale and Nanoscale Physics · Physics 2020-04-24 Natalie E. Firsova , Sergey A. Ktitorov

We investigate conductance fluctuations as a function of carrier density $n$ and magnetic field in diffusive mesoscopic samples made from monolayer and bilayer graphene. We show that the fluctuations' correlation energy and field, which are…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 C. Ojeda-Aristizabal , M. Monteverde , R. Weil , M. Ferrier , S. Gueron , H. Bouchiat

It is known that fluctuations in the electrostatic potential allow for metallic conduction (nonzero conductivity in the limit of an infinite system) if the carriers form a single species of massless two-dimensional Dirac fermions. A nonzero…

Mesoscale and Nanoscale Physics · Physics 2013-07-09 J. H. Bardarson , M. V. Medvedyeva , J. Tworzydlo , A. R. Akhmerov , C. W. J. Beenakker

Within the tight binding approximation, we study the dependence of the electronic band structure and of the optical conductivity of a graphene single layer on the modulus and direction of applied uniaxial strain. While the Dirac cone…

Mesoscale and Nanoscale Physics · Physics 2010-01-15 F. M. D. Pellegrino , G. G. N. Angilella , R. Pucci

Universal conductance fluctuations (UCF) are a hallmark of quantum interference in mesoscopic devices. According to the Altshuler-Lee-Stone theory, the amplitude of UCF remains independent of system parameters such as Fermi energy and…

Mesoscale and Nanoscale Physics · Physics 2025-06-11 Qiang Yang , Yayun Hu , Zhe Hou , Peiqing Tong

We analyze universal conductance fluctuations (UCF) in graphene in the framework of diagrammatic perturbation theory in the metallic regime. It is shown that strong inter-valley scattering lifts the valley degeneracy of electronic states,…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 K. Kechedzhi , O. Kashuba , Vladimir I. Fal'ko

We consider the transmission of massless Dirac fermions through an array of short range scatterers which are modeled as randomly positioned $\delta$- function like potentials along the x-axis. We particularly discuss the interplay between…

Disordered Systems and Neural Networks · Physics 2013-07-19 Neetu Agrawal , Sankalpa Ghosh , Manish Sharma

Mesoscopic conductance fluctuations in graphene samples at energies not very close to the Dirac point are studied analytically. We demonstrate that the conductance variance $<[\delta G]^2>$ is very sensitive to the elastic scattering…

Mesoscale and Nanoscale Physics · Physics 2009-03-25 Maxim Yu. Kharitonov , Konstantin B. Efetov

In quantum systems, signatures of multifractality are rare. They have been found only in the multiscaling of eigenfunctions at critical points. Here we demonstrate multifractality in the magnetic-field-induced universal conductance…

Mesoscale and Nanoscale Physics · Physics 2018-04-13 Kazi Rafsanjani Amin , Samriddhi Sankar Ray , Nairita Pal , Rahul Pandit , Aveek Bid

We investigate the universal properties of quantum transport in graphene nanowires that engender subtle universal conductance fluctuations. We present results for three of the main microscopic models that describe the sublattice of graphene…

Mesoscale and Nanoscale Physics · Physics 2020-09-07 Louis G. C. S. Sá , A. L. R. Barbosa , J. G. G. S. Ramos

Electrons moving in graphene behave as massless Dirac fermions, and they exhibit fascinating low-frequency electrical transport phenomena. Their dynamic response, however, is little known at frequencies above one terahertz (THz). Such…

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