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We derive analytical expressions for the conductivity of bilayer graphene (BLG) using the Boltzmann approach within the the Born approximation for a model of Gaussian disorders describing both short- and long-range impurity scattering. The…

Mesoscale and Nanoscale Physics · Physics 2011-09-30 Hengyi Xu , T. Heinzel , I. V. Zozoulenko

The conductance of graphene subject to a strong, tilted magnetic field exhibits a dramatic change from insulating to conducting behavior with tilt-angle, regarded as evidence for the transition from a canted antiferromagnetic (CAF) to a…

Strongly Correlated Electrons · Physics 2016-03-30 Pavel Tikhonov , Efrat Shimshoni , H. A. Fertig , Ganpathy Murthy

We study the scattering of graphene quasiparticles by topological defects, represented by holes, pentagons and heptagons. For the case of holes, we obtain the phase shift and found that at low concentration they appear to be irrelevant for…

Strongly Correlated Electrons · Physics 2010-10-19 Jakson M. Fonseca , Winder A. Moura-Melo , Afranio R. Pereira

We compare the magnitudes of the single-particle relaxation time accurately computed by the variable phase approach are with those computed in the first Born approximation for doped semiconductors such as Si and GaAs, assuming that the…

Materials Science · Physics 2019-09-04 Gionni Marchetti

Double-gated graphene devices provide an important platform for understanding electrical and optical properties of graphene. Here we present transport measurements of single layer, bilayer and trilayer graphene devices with suspended top…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 J. Velasco , Y. Lee , L. Jing , G. Liu , W. Bao , C. N. Lau

We consider a double-layer system made of two parallel bilayer graphene sheets separated by a dielectric medium. We calculate the finite-temperature electrical conductivity of the first layer due to charged impurities located in two layers.…

Mesoscale and Nanoscale Physics · Physics 2021-03-09 Dang Khanh Linh , Nguyen Quoc Khanh

This report deals with the basic concepts on deducing transit times for quantum scattering: the stationary phase method and its relation with delay times for relativistic and non-relativistic tunneling particles. We notice that the…

Quantum Physics · Physics 2017-11-08 Alex E. Bernardini

The relationship between the universal conductance fluctuation and the weak localization effect in monolayer graphene is investigated. By comparing experimental results with the predictions of the weak localization theory for graphene, we…

Mesoscale and Nanoscale Physics · Physics 2017-03-22 D. Terasawa , A. Fukuda , A. Fujimoto , Y. Ohno , Y. Kanai , K. Matsumoto

The conductance G of a pair of single-channel point contacts in series, one of which is a spin filter, increases from 1/2 to 2/3 x e^2/h with more and more spin-flip scattering. This excess conductance was observed in a quantum dot by…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 C. W. J. Beenakker

We propose a model for the description of the transport properties of metallic films on a large scale of slab thickness. This model is based on solving the linearized Boltzmann equation in relaxation-time approximation using {\it ab initio}…

Materials Science · Physics 2007-05-23 Dmitry V. Fedorov Peter Zahn Ingrid Mertig

We solve the Dirac equation, which describes charge massless chiral relativistic carriers in a two-dimensional graphene. We have identified and analysed a novel pseudospin-dependent scattering effect. We compute the tunneling conductance…

Mesoscale and Nanoscale Physics · Physics 2012-11-21 Dima Bolmatov , D. V. Zavialov

The presence of twist angles between layers of two-dimensional materials has a profound impact on their physical properties. Turbostratic multilayer graphene is a system containing a distribution of rotational stacking faults, and these…

Mesoscale and Nanoscale Physics · Physics 2022-10-05 A. Mohapatra , M. S. Ramachandra Rao , M. Jaiswal

Several research groups have reported on the observation of superconductivity in bilayer graphene structures where single atomic layers of graphene are stacked and then twisted at angles $\theta$ forming Moir\'e superlattices. The…

Superconductivity · Physics 2020-01-15 Evgueni F. Talantsev , Ratu C. Mataira , Wayne P. Crump

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

Motivated by recent experiments [1-3] we calculate the thermopower of graphene incorporating the energy dependence of various transport scattering times. We find that scattering by screened charged impurities gives a reasonable explanation…

Mesoscale and Nanoscale Physics · Physics 2009-12-29 E. H. Hwang , E. Rossi , S. Das Sarma

The effect of various dielectrics on charge mobility in single layer graphene is investigated. By calculating the remote optical phonon scattering arising from the polar substrates, and combining it with their effect on Coulombic impurity…

Materials Science · Physics 2015-05-13 Aniruddha Konar , Tian Fang , Debdeep Jena

Charge carrier scattering is critical to the electrical properties of two-dimensional materials such as graphene, transition metal dichalcogenide monolayers, black phosphorene, and tellurene. Beyond pristine two-dimensional materials,…

Mesoscale and Nanoscale Physics · Physics 2018-09-14 Dongchao Xu , Shuang Tang , Xu Du , Qing Hao

Different scattering mechanisms in graphene are explored and conductivity is calculated within the Boltzmann transport theory. We provide results for short-range scattering using the Random Phase Approximation for electron screening, as…

Mesoscale and Nanoscale Physics · Physics 2008-03-15 Shaffique Adam , E. H. Hwang , S. Das Sarma

Quantum transport in a lattice is distinct from its counterpart in continuum media. Even a free wave packet travels differently in a lattice than in the continuum. We describe quantum scattering in a one dimensional lattice using three…

Disordered Systems and Neural Networks · Physics 2009-11-11 Wonkee Kim , L. Covaci , F. Marsiglio

We present and analyze two mathematical models for the self consistent quantum transport of electrons in a graphene layer. We treat two situations. First, when the particles can move in all the plane $\RR^2$, the model takes the form of a…

Analysis of PDEs · Mathematics 2013-10-28 Raymond El Hajj , Florian Méhats