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In graphene, long-wavelength deformations that result in elastic shear strain couple to the low-energy Dirac electrons as pseudogauge fields. Using a scalable tight-binding model, we consider analogs to magnetotransport in mesoscopic…

Mesoscale and Nanoscale Physics · Physics 2025-05-28 Alina Mreńca-Kolasińska , Christophe De Beule , Jia-Tong Shi , Aitor Garcia-Ruiz , Denis Kochan , Klaus Richter , Ming-Hao Liu

We study the electronic transport properties of dual-gated bilayer graphene devices. We focus on the regime of low temperatures and high electric displacement fields, where we observe a clear exponential dependence of the resistance as a…

Mesoscale and Nanoscale Physics · Physics 2010-10-12 Thiti Taychatanapat , Pablo Jarillo-Herrero

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

We analyze spin scattering in ballistic transport of electrons through a ripple at a normal incidence of an electron flow. The model of a ripple consists of a curved graphene surface in the form of an arc of a circle connected from the…

Mesoscale and Nanoscale Physics · Physics 2015-12-08 M. Pudlak , K. N. Pichugin , R. G. Nazmitdinov

Graphene electrodes are promising candidates to improve reproducibility and stability in molecular electronics through new electrode-molecule anchoring strategies. Here we report sequential electron transport in few-layer graphene…

We study the electron propagation in a circular electrostatically defined quantum dot in graphene. Solving the scattering problem for a plane Dirac electron wave we identify different scattering regimes depending on the radius and potential…

Mesoscale and Nanoscale Physics · Physics 2015-07-17 C. Schulz , R. L. Heinisch , H. Fehske

Using quasi-time dependent semi-classical transport theory in RTA, we obtained coupled current equations in the presence of time varying field and based on general scattering mechanism $\tau \propto \mathcal{E}^{\beta}$. We find that close…

Materials Science · Physics 2015-03-19 M. Rabiu , S. Y. Mensah , S. S. Abukari

Spintronics---the all-electrical control of the electron spin for quantum or classical information storage and processing---is one of the most promising applications of the two-dimensional material graphene. Although pristine graphene has…

Mesoscale and Nanoscale Physics · Physics 2018-10-24 Chunli Huang , Y. D. Chong , Miguel. A. Cazalilla

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

Staking layered materials revealed to be a very powerful method to tailor their electronic properties. It has indeed been theoretically and experimentally shown that twisted bilayers of graphene (tBLG) with a rotation angle $\theta$,…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Omid Faizy Namarvar , Ahmed Missaoui , Laurence Magaud , Didier Mayou , Guy Trambly de Laissardière

We develop a hydrodynamic theory of charge and heat currents induced by traveling waves, such as surface acoustic waves, in graphene devices near charge neutrality. The currents depend on the intrinsic conductivity and viscosity of the…

Mesoscale and Nanoscale Physics · Physics 2026-02-25 E. Kirkinis , A. Levchenko , A. V. Andreev

A transfer matrix method is presented for solving the scattering problem for the quasi one-dimensional massless Dirac equation applied to graphene in the presence of an arbitrary inhomogeneous electric and perpendicular magnetic field. It…

Mesoscale and Nanoscale Physics · Physics 2012-05-17 Sameer Grover , Sankalpa Ghosh , Manish Sharma

Electron-electron (e-e) collisions can impact transport in a variety of surprising and sometimes counterintuitive ways. Despite strong interest, experiments on the subject proved challenging because of the simultaneous presence of different…

Observations of electron-hole asymmetry in transport through graphene devices at high magnetic field challenge prevalent models of the graphene quantum Hall effect. Here, we study this asymmetry both in conventional magnetotransport and in…

Mesoscale and Nanoscale Physics · Physics 2021-11-23 Nicolas Moreau , Boris Brun , Sowmya Somanchi , Kenji Watanabe , Takashi Taniguchi , Christoph Stampfer , Benoît Hackens

We present a detailed numerical study of the electronic properties of single-layer graphene with resonant ("hydrogen") impurities and vacancies within a framework of noninteracting tight-binding model on a honeycomb lattice. The algorithms…

Mesoscale and Nanoscale Physics · Physics 2010-09-29 Shengjun Yuan , Hans De Raedt , Mikhail I. Katsnelson

We characterise the dynamics of electrons in twisted bilayer graphene by analysing the time-evolution of electron waves in the atomic lattice. We perform simulations based on a kernel polynomial technique using Chebyshev polynomial; this…

Mesoscale and Nanoscale Physics · Physics 2019-04-24 H. Nam Do , H. Anh Le , D. Bercioux

The carrier mobility of a graphene double-layer system is evaluated on the basis of the Boltzmann transport theory. In this system, two graphene layers are separated by a dielectric barrier layer. We focus on the cases in which there is…

Mesoscale and Nanoscale Physics · Physics 2014-12-08 Kazuhiro Hosono , Katsunori Wakabayashi

Ballistic transport occurs whenever electrons propagate without collisions deflecting their trajectory. It is normally observed in conductors with a negligible concentration of impurities, at low temperature, to avoid electron-phonon…

Mesoscale and Nanoscale Physics · Physics 2018-04-25 Youngwoo Nam , Dong-Keun Ki , David Soler-Delgado , Alberto F. Morpurgo

This paper is devoted to photocarrier transport across a two-dimensional graphene-semiconductor Schottky junction. We study linear response to monochromatic light with excitation energy well below the semiconductor band gap. The operation…

Mesoscale and Nanoscale Physics · Physics 2018-05-31 Maxim Trushin

Properties of phonons - quanta of the crystal lattice vibrations - in graphene have attracted strong attention of the physics and engineering communities. Acoustic phonons are the main heat carriers in graphene near room temperature while…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Denis L. Nika , Alexander A. Balandin
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