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.

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

References in corpus (24)

• The electronic properties of graphene
• Topological Insulators
• Topological insulators and superconductors
• Topological Insulators with Inversion Symmetry
• Discovery (theoretical prediction and experimental observation) of a large-gap topological-insulator class with spin-polarized single-Dirac-cone on the surface
• Electronic transport in two dimensional graphene
• First direct observation of Spin-textures in Topological Insulators : Spin-resolved ARPES as a probe of topological quantum spin Hall effect and Berry's phase
• Aharonov-Bohm interference in topological insulator nanoribbons
• Spatially Resolving Spin-split Edge States of Chiral Graphene Nanoribbons
• Scanning Tunneling Spectroscopy of Graphene on Graphite
• Aharonov-Bohm effect in graphene
• How perfect can graphene be?
• AFM local oxidation nanolithography of graphene
• Quantum interference and Aharonov-Bohm oscillations in topological insulators
• Aharonov-Bohm interferences from local deformations in graphene
• Graphene Rings in Magnetic Fields: Aharonov-Bohm Effect and Valley Splitting
• Magneto-conductance Oscillations in Graphene Antidot Arrays
• Magneto-Raman scattering of graphene on graphite: Electronic and phonon excitations
• Aharonov-Bohm effect in a side-gated graphene ring
• The Aharonov-Bohm effect in graphene rings
• Dirac boundary condition at the reconstructed zigzag edge of graphene
• Aharonov-Bohm effect in an electron-hole graphene ring system
• Polarization resolved magneto-Raman scattering of graphene-like domains on natural graphite
• Orbital Quantization in a System of Edge Dirac Fermions in Nanoperforated Graphene

Cited by in corpus (11)

• 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
• Robustness and Universality of Surface States in Dirac Materials
• Negative terahertz conductivity in disordered graphene bilayers with population inversion
• Edge currents driven by terahertz radiation in graphene in quantum Hall regime
• Fermi arcs formation in Weyl semimetals: the key role of intervalley interaction
• Resonant electron scattering by graphene antidot
• Quantum interference in a macroscopic van der Waals conductor
• Chiral properties of topological-state loops
• Resonance Absorption of Terahertz Radiation in Nanoperforated Graphene
• Aharonov-Bohm oscillations caused by non-topological surface states in Dirac nanowires