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Intense work studying the ballistic regime of electron transport in twodimensional systems based on semiconductors and graphene had been thought tohave established most of the key experimental facts of the field. In recentyears, however, new forms of ballistic transport have become accessible in thequasi-two-dimensional delafossite metals, whose Fermi wavelength is a factor of100 shorter than those typically studied in the previous work, and whose Fermisurfaces are nearly hexagonal in shape, and therefore strongly faceted. Thishas some profound consequences for results obtained from the classic ballistictransport experiment of studying bend and Hall resistances in mesoscopicsquares fabricated from delafossite single crystals. We observe pronouncedanisotropies in bend resistances and even a Hall voltage that is stronglyasymmetric in magnetic field. Although some of our observations arenon-intuitive at first sight, we show that they can be understood within anon-local Landauer-B\"uttiker analysis tailored to the symmetries of thesquare/hexagonal geometries of our combined device/Fermi surface system.Signatures of non-local transport can be resolved for squares of lineardimension of nearly 100 $\mu$m, approximately a factor of 15 larger than thebulk mean free path of the crystal from which the device was fabricated.

Low-symmetry non-local transport in microstructured squares of delafossite metals