Robust zero modes in disordered two-dimensional honeycomb lattice with Kekulé bond ordering

Abstract Robustness of zero-modes of two-dimensional Dirac fermions is examined numerically for the honeycomb lattice in the presence of Kekule bond ordering. The split n = 0 Landau levels in a magnetic field as well as the zero-modes generated by topological defects in the Kekule ordering are shown to exhibit anomalous robustness against disorder when the chiral symmetry is respected.