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Ballistic transport was studied in a multiple-band system consisting of anantidot lattice of AB-stacked trilayer graphene. The low temperaturemagnetoresistance showed commensurability peaks arising from matching of theantidot lattice period and radius of cyclotron orbits for each mono- andbilayer-like band in AB stacked trilayer graphene. The commensurability peak ofthe monolayer-like band appeared at a lower magnetic field than that of thebilayer-like band, which reflects the fact that the Fermi surface of thebilayer-like band is larger than that of monolayer-like band. Rotation of theantidot lattice relative to the crystallographic axes of graphene resulted inanisotropic magnetoresistance, which reflects the trigonally warped Fermisurface of the bilayer-like band. Numerical simulations of magnetoresistancethat assumed ballistic transport in the mono- and bilayer-like bandsapproximately reproduced the observed magnetoresistance features. It was foundthat the monolayer-like band significantly contributes to the conductivity eventhough its carrier density is an order smaller than that of the bilayer-likeband. These results indicate that ballistic transport experiments could be usedfor studying the anisotropic band structure of multiple-band systems.

Multiband ballistic transport and anisotropic commensurability magnetoresistance in antidot lattices of AB-stacked trilayer graphene