Scaling approach to tight-binding transport in realistic graphene devices: The case of transverse magnetic focusing

M. Beconcini, S. Valentini, R. Krishna Kumar, G. H. Auton, A. K. Geim, L. A. Ponomarenko, M. Polini, and F. Taddei
Phys. Rev. B 94, 115441 – Published 30 September 2016

Abstract

Ultraclean graphene sheets encapsulated between hexagonal boron nitride crystals host two-dimensional electron systems in which low-temperature transport is solely limited by the sample size. We revisit the theoretical problem of carrying out microscopic calculations of nonlocal ballistic transport in such micron-scale devices. By employing the Landauer-Büttiker scattering theory, we propose a scaling approach to tight-binding nonlocal transport in realistic graphene devices. We test our numerical method against experimental data on transverse magnetic focusing (TMF), a textbook example of nonlocal ballistic transport in the presence of a transverse magnetic field. This comparison enables a clear physical interpretation of all the observed features of the TMF signal, including its oscillating sign.

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  • Received 23 May 2016

DOI:https://doi.org/10.1103/PhysRevB.94.115441

©2016 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

M. Beconcini1,*, S. Valentini2, R. Krishna Kumar3,4, G. H. Auton5, A. K. Geim4, L. A. Ponomarenko3,4, M. Polini6, and F. Taddei2

  • 1NEST, Scuola Normale Superiore, I-56126 Pisa, Italy
  • 2NEST, Istituto Nanoscienze-CNR and Scuola Normale Superiore, I-56126 Pisa, Italy
  • 3Physics Department, Lancaster University, Lancaster LA1 4YB, United Kingdom
  • 4School of Physics & Astronomy, University of Manchester, Oxford Road, Manchester M13 9PL, United Kingdom
  • 5National Graphene Institute, University of Manchester, Manchester M13 9PL, United Kingdom
  • 6Istituto Italiano di Tecnologia, Graphene Labs, Via Morego 30, I-16163 Genova, Italy

  • *michael.beconcini@sns.it

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Issue

Vol. 94, Iss. 11 — 15 September 2016

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