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

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