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We formulate a theory of transport in graphene bilayers in the weak momentum scattering regime in such a way as to take into account contributions to the electrical conductivity to leading and next-to-leading order in the scattering…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Dimitrie Culcer , R. Winkler

We show that the influence of spin-orbit (SO) coupling on the weak localization effect for electrons in graphene depends on the lack or presence of z/-z symmetry in the system. While for z/-z asymmetric SO coupling, disordered graphene…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Edward McCann , Vladimir I. Fal'ko

This is a study of phase-coherent conduction through a ballistic point contact with disordered leads. The disorder imposes mesoscopic (sample-to-sample) fluctuations and weak-localization corrections on the conductance, and also leads to…

Condensed Matter · Physics 2007-05-23 C. W. J. Beenakker , J. A. Melsen

Transport measurements normally provide a macroscopic, averaged view of the sample, so that disorder prevents the observation of fragile interaction induced states. Here, we demonstrate that transconductance fluctuations in a graphene field…

Mesoscale and Nanoscale Physics · Physics 2012-08-06 Dong Su Lee , Viera Skakalova , R. Thomas Weitz , Klaus von Klitzing , Jurgen H. Smet

The effect of Coulomb scattering on graphene conductivity in field effect transistor structures is discussed. Inter-particle scattering (electron-electron, hole-hole, and electron-hole) and scattering on charged defects are taken into…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 V. Vyurkov , V. Ryzhii

We study the conductance of disordered graphene superlattices with short-range structural correlations. The system consists of electron- and hole-doped graphenes of various thicknesses, which fluctuate randomly around their mean value. The…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 N. Abedpour , Ayoub Esmailpour , Reza Asgari , M. Reza Rahimi Tabar

The minimum conductivity value as well as the linear dependence of conductivity on the charge density near the Dirac point in single and doublelayer graphene is derived from the energy-time uncertainty principle applied to ballistic charge…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 D. Dragoman

The effect of a randomly fluctuating gap, created by a random staggered potential, is studied in a monolayer and a bilayer of graphene. The density of states, the one-particle scattering rate and transport properties (diffusion coefficient…

Mesoscale and Nanoscale Physics · Physics 2009-03-24 K. Ziegler

The effect of weak potential and bond disorder on the density of states of graphene is studied. By comparing the self-consistent non-crossing approximation on the honeycomb lattice with perturbation theory on the Dirac fermions, we…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 B. Dóra , K. Ziegler , P. Thalmeier

The Luttinger liquid in which the concentration of electrons varies randomly with coordinate is considered. We study the fluctuations of the tunnel conductance, caused by the randomness in the concentration. If the concentration changes…

Condensed Matter · Physics 2009-10-28 A. Gramada , M. E. Raikh

We calculate the conductivity of arbitrarily stacked multilayer graphene sheets within a relaxation time approximation, considering both short-range and long-range impurities. We theoretically investigate the feasibility of identifying the…

Mesoscale and Nanoscale Physics · Physics 2011-05-20 Hongki Min , Parakh Jain , S. Adam , M. D. Stiles

Universal conductance fluctuations are usually observed in the form of aperiodic oscillations in the magnetoresistance of thin wires as a function of the magnetic field B. If such oscillations are completely random at scales exceeding…

Disordered Systems and Neural Networks · Physics 2021-12-28 I. M. Suslov

We study conductance across a twisted bilayer graphene coupled to single-layer graphene leads in two setups: a flake of graphene on top of an infinite graphene ribbon and two overlapping semi-infinite graphene ribbons. We find conductance…

Mesoscale and Nanoscale Physics · Physics 2020-07-30 Hadi Z. Olyaei , Bruno Amorim , Pedro Ribeiro , Eduardo V. Castro

We study both monolayer and bilayer graphene transport properties taking into account the presence of correlations in the spatial distribution of charged impurities. In particular we find that the experimentally observed sublinear scaling…

Mesoscale and Nanoscale Physics · Physics 2012-07-10 Qiuzi Li , E. H. Hwang , E. Rossi

We find that, for a very specific shape of a monolayer graphene sample, a general relativistic-like description of a back-ground spacetime for graphene's conductivity electrons is very natural. The corresponding electronic local density of…

Materials Science · Physics 2012-09-04 Alfredo Iorio , Gaetano Lambiase

Collective transport through a multichannel disordered conductor in contact with charge-density-wave electrodes is theoretically investigated. The statistical distribution function of the threshold potential for charge-density wave sliding…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Mark I. Visscher , Behzad Rejaei , Gerrit E. W. Bauer

In this paper we present generic properties of quantum transport in mono-layer graphene. In the scheme of the Kubo-Geenwood formula, we compute the square spreading of wave packets of a given energy with is directly related to conductivity.…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 Guy Trambly de Laissardiere , Didier Mayou

We study the symmetry classes of graphene quantum dots, both open and closed, through the conductance and energy level statistics. For abrupt termination of the lattice, these properties are well described by the standard orthogonal and…

Mesoscale and Nanoscale Physics · Physics 2009-02-09 J. Wurm , A. Rycerz , I. Adagideli , M. Wimmer , K. Richter , H. U. Baranger

Localization properties of the doped Z_2-topological insulator are studied by weak localization theory. The disordered Kane-Mele model for graphene is taken as a prototype, and analyzed with attention to effects of the topological mass…

Mesoscale and Nanoscale Physics · Physics 2009-11-27 Ken-Ichiro Imura , Yoshio Kuramoto , Kentaro Nomura

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
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