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.

Strongly revised version of arXiv:1310.0991: new title, abstract, introduction, conclusions, and updated figures. New corresponding author

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• Patched Green's function techniques for two dimensional systems: Electronic behaviour of bubbles and perforations in graphene
• Surface States of a System of Dirac Fermions: A Minimal Model
• Negative terahertz conductivity in disordered graphene bilayers with population inversion
• Fermi arcs formation in Weyl semimetals: the key role of intervalley interaction
• Quantum interference in a macroscopic van der Waals conductor
• Chiral properties of topological-state loops
• Resonance Absorption of Terahertz Radiation in Nanoperforated Graphene