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Orbital quantization in a system of edge Dirac fermions in nanoperforated graphene
Authors:Yu. I. Latyshev  A. P. Orlov  A. V. Frolov  V. A. Volkov  I. V. Zagorodnev  V. A. Skuratov  Yu. V. Petrov  O. F. Vyvenko  D. Yu. Ivanov  M. Konczykowski  P. Monceau
Affiliation:1. Kotel’nikov Institute of Radio Engineering and Electronics, Russian Academy of Sciences, ul. Mokhovaya 11-7, Moscow, 125009, Russia
2. Moscow Institute of Physics and Technology (State University), Institutskii per. 9, Dolgoprudnyi, Moscow region, 141700, Russia
3. Joint Institute for Nuclear Research, Dubna, Moscow region, 141980, Russia
4. Interdisciplinary Resource Center for Nanotechnologies, St. Petersburg State University, St. Petersburg, 198504, Russia
5. Institute of Microelectronic Technology and Ultrahigh-Purity Materials, Russian Academy of Sciences, Chernogolovka, Moscow region, 142432, Russia
6. école Polytechnique, 91128, Palaiseau, Cedex, France
7. Institut Néel, CNRS/UJF, UPR2940, 38042, Grenoble, Cedex 9, France
Abstract:The dependence of the electric resistance R of nanoperforated graphene samples on the position of the Fermi level E F, which is varied by the gate voltage V g, 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(V g) dependence at low temperatures in zero magnetic field. These peaks are attributed to the passage of E F through an equidistant set 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.
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