The dependence of the electric resistance R of nanoperforated graphene samples on the position of the Fermi level, which is varied by the gate voltage Vg, has been studied. Nanoperforation has been performed by irradiating graphene samples on a Si/SiO2 substrate by heavy (xenon) or light (helium) ions. A series of regular peaks have been revealed on the R(Vg) dependence at low temperatures in zero magnetic field. These peaks are attributed to the passage of the Fermi level through an equidistant ladder of levels formed by orbitally quantized states of edge Dirac fermions rotating around each nanohole. The results are in agreement with the theory of edge states for massless Dirac fermions.
@article{arxiv.1503.01357,
title = {Orbital Quantization in a System of Edge Dirac Fermions in Nanoperforated Graphene},
author = {Yu. I. Latyshev and A. P. Orlov and A. V. Frolov and V. A. Volkov and I. V. Zagorodnev and V. A. Skuratov and Yu. V. Petrov and O. F. Vyvenko and D. Yu. Ivanov and M. Konczykowski and P. Monceau},
journal= {arXiv preprint arXiv:1503.01357},
year = {2015}
}