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The role of defect-induced zero-energy modes on charge transport in grapheneis investigated using Kubo and Landauer transport calculations. By tuning thedensity of random distributions of monovacancies either equally populating thetwo sublattices or exclusively located on a single sublattice, all conductionregimes are covered from direct tunneling through evanescent modes tomesoscopic transport in bulk disordered graphene. Depending on the transportmeasurement geometry, defect density, and broken sublattice-symmetry, the Diracpoint conductivity is either exceptionally robust against disorder(supermetallic state) or suppressed through a gap opening or by algebraiclocalization of zero-energy modes, whereas weak localization and the Andersoninsulating regime are obtained for higher energies. These findings clarify thecontribution of zero-energy modes to transport at the Dirac point, hithertocontroversial.

Broken Symmetries, Zero-Energy Modes, and Quantum Transport in Disordered Graphene: From Supermetallic to Insulating Regimes