Scaling approach to tight-binding transport in realistic graphene   devices: the case of transverse magnetic focusing
  Ultra-clean 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 non-local ballistic transport in such micron-scale devices. By employing the Landauer-Buttiker scattering theory, we propose a novel scaling approach to tight-binding non-local transport in realistic graphene devices. We test our numerical method against experimental data on transverse magnetic focusing (TMF), a textbook example of non-local 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. 
M. Beconcini, S. Valentini, R. Krishna Kumar, G. H. Auton, A. K. Geim,   L. A. Ponomarenko, M. Polini, F. Taddei
cond-mat.mes-hall