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Ultra-clean graphene sheets encapsulated between hexagonal boron nitridecrystals host two-dimensional electron systems in which low-temperaturetransport is solely limited by the sample size. We revisit the theoreticalproblem of carrying out microscopic calculations of non-local ballistictransport in such micron-scale devices. By employing the Landauer-Buttikerscattering theory, we propose a novel scaling approach to tight-bindingnon-local transport in realistic graphene devices. We test our numerical methodagainst experimental data on transverse magnetic focusing (TMF), a textbookexample of non-local ballistic transport in the presence of a transversemagnetic field. This comparison enables a clear physical interpretation of allthe observed features of the TMF signal, including its oscillating sign.

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