Interference effects in two-dimensional chiral metal with vacancies

We study quantum interference effects in a two-dimensional chiral metal with vacancies. This model is particularly relevant for describing graphene with randomly distributed chemical adsorbents, such as hydrogen atoms. We demonstrate that randomly distributed vacancies constitute a peculiar type of chiral disorder leading to strong modifications of critical properties at zero energy as compared to conventional chiral metals. In particular, the average density of states diverges as ρ ∝ E^–1 |ln E|^–3/2 and the correlation length L_c ∝ |ln E|^1/2 in the limit E → 0. Our results are supported by the large-scale numerical simulations of disordered graphene.