  We numerically investigate the electronic transport properties between two
mesoscopic graphene disks with a twist by employing the density functional
theory coupled with non-equilibrium Green's function technique. By attaching
two graphene leads to upper and lower graphene layers separately, we explore
systematically the dependence of electronic transport on the twist angle, Fermi
energy, system size, layer stacking order and twist axis. When choose different
twist axes for either AA- or AB-stacked bilayer graphene, we find that the
dependence of conductance on twist angle displays qualitatively distinction,
i.e., the systems with "top" axis exhibit finite conductance oscillating as a
function of the twist angle, while the ones with "hollow" axis exhibit nearly
vanishing conductance for different twist angles or Fermi energies near the
charge neutrality point. These findings suggest that the choice of twist axis
can effectively tune the interlayer conductance, making it a crucial factor in
designing of nanodevices with the twisted van der Waals multilayers.
