title: Transport of massless Dirac fermions in non-topological type edge states.
abstract: There are two types of intrinsic surface states in solids. The first type is formed on the surface of topological insulators. Recently, transport of massless Dirac fermions in the band of "topological" states has been demonstrated. States of the second type were predicted by Tamm and Shockley long ago. They do not have a topological background and are therefore strongly dependent on the properties of the surface. We study the problem of the conductivity of Tamm-Shockley edge states through direct transport experiments. Aharonov-Bohm magneto-oscillations of resistance are found on graphene samples that contain a single nanohole. The effect is explained by the conductivity of the massless Dirac fermions in the edge states cycling around the nanohole. The results demonstrate the deep connection between topological and non-topological edge states in 2D systems of massless Dirac fermions.
authors.affiliation: Kotelnikov Institute of Radio-engineering and Electronics of RAS, Mokhovaya 11-7, 125009 Moscow, Russia.
authors.forename: Yu I
authors.initials: YI
authors.lastname: Latyshev
authors.affiliation: Kotelnikov Institute of Radio-engineering and Electronics of RAS, Mokhovaya 11-7, 125009 Moscow, Russia.
authors.forename: A P
authors.initials: AP
authors.lastname: Orlov
authors.affiliation: 1] Kotelnikov Institute of Radio-engineering and Electronics of RAS, Mokhovaya 11-7, 125009 Moscow, Russia [2] Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudny, 141700 Moscow region, Russia.
authors.forename: V A
authors.initials: VA
authors.lastname: Volkov
authors.affiliation: Kotelnikov Institute of Radio-engineering and Electronics of RAS, Mokhovaya 11-7, 125009 Moscow, Russia.
authors.forename: V V
authors.initials: VV
authors.lastname: Enaldiev
authors.affiliation: Kotelnikov Institute of Radio-engineering and Electronics of RAS, Mokhovaya 11-7, 125009 Moscow, Russia.
authors.forename: I V
authors.initials: IV
authors.lastname: Zagorodnev
authors.affiliation: IRC for Nanotechnology of St. Petersburg State University, Uljanovskaya 1, Petrodvorets, 198504 St. Petersburg, Russia.
authors.forename: O F
authors.initials: OF
authors.lastname: Vyvenko
authors.affiliation: IRC for Nanotechnology of St. Petersburg State University, Uljanovskaya 1, Petrodvorets, 198504 St. Petersburg, Russia.
authors.forename: Yu V
authors.initials: YV
authors.lastname: Petrov
authors.affiliation: 1] Univ. Grenoble - Alpes, Inst. Neel, F38042 Grenoble, France [2] CNRS, Int. Neel, F38042 Grenoble, France [3] Laboratoire National des Champs Magnétiques Intenses, 25 rue des Martyrs, BP 166, 38042 Grenoble, Cedex 9, France.
authors.forename: P
authors.initials: P
authors.lastname: Monceau