Perfectly Conducting Channel and Universality Crossover in Disordered Nano-Graphene Ribbons

Abstract

The band structure of graphene ribbons with zigzag edges have two valleys well separated in momentum space, related to the two Dirac points of the graphene spectrum. The propagating modes in each valley contain a single chiral mode originating from a partially flat band at band center. This feature gives rise to a perfectly conducting channel in the disordered system, if the impurity scattering does not connect the two valleys, i.e. for long-range impurity potentials. Ribbons with short-range impurity potentials, however, through inter-valley scattering display ordinary localization behavior. The two regimes belong to different universality classes: unitary for long-range impurities and orthogonal for short-range impurities.

under review

References in corpus (8)

• Electric Field Effect in Atomically Thin Carbon Films
• Half-Metallic Graphene Nanoribbons
• Valley filter and valley valve in graphene
• Electronic States of Graphene Nanoribbons
• Unconventional Integer Quantum Hall effect in graphene
• Weak localisation magnetoresistance and valley symmetry in graphene
• Weak antilocalization in epitaxial graphene: evidence for chiral electrons
• Phase analysis of quantum oscillations in graphite

Cited by in corpus (41)

• Anderson Transitions
• Electronic transport properties of graphene nanoribbons
• Localization and Kosterlitz-Thouless Transition in Disordered Graphene
• Spatial distribution of local currents of massless Dirac fermions in quantum transport through graphene nanoribbons
• Edge Effect on Electronic Transport Properties of Graphene Nanoribbons and Presence of Perfectly Conducting Channel
• Transmission through a boundary between monolayer and bilayer graphene
• Tunneling of Dirac electrons through spatial regions of finite mass
• Electronic transport in disordered MoS${}_2$ nanoribbons
• Nearly Perfect Single-Channel Conduction in Disordered Armchair Nanoribbons
• Chiral Gauge Theory for Graphene Edge
• Control of electric current by graphene edge structure engineering
• Berry's Phase for Standing Wave Near Graphene Edge
• Lorentz force effects for graphene Aharonov-Bohm interferometers
• Topological Edge States Induced by Zak's Phase in A3B Monolayers
• The role of the disorder range and electronic energy in the graphene nanoribbons perfect transmission
• Crossed graphene nanoribbons as beam splitters and mirrors for electron quantum optics
• The Coexistence and Decoupling of Bulk and Edge States in Disordered Two-dimensional Topological Insulators
• High-Frequency Properties of a Graphene Nanoribbon Field-Effect Transistor
• Chalker-Coddington model described by an S-matrix with odd dimensions
• Topological Edge and Corner States in Biphenylene Network
• Shot Noise Probing of Magnetic Ordering in Zigzag Graphene Nanoribbons
• The effects of disorder and interactions on the Anderson transition in doped Graphene
• Decomposition into Propagating and Evanescent Modes of Graphene Ribbons
• A 50/50 electronic beam splitter in graphene nanoribbons as a building block for electron optics
• Phononic drumhead surface state in distorted kagome compound RhPb
• Conductance response of graphene nanoribbons and quantum point contacts in the scanning probe measurements
• Moir{é} pattern assisted geometric resonant tunneling in disordered twisted bilayer graphene
• Diffusion and localization in carbon nanotubes and graphene nanoribbons
• Effectuating tunable valley selection via multi-terminal monolayer graphene devices
• Conductance Fluctuations in Disordered Wires with Perfectly Conducting Channels
• Conductance Distribution in Disordered Quantum Wires with a Perfectly Conducting Channel
• Formation mechanism of bound states in graphene point contacts
• Point-Contact Conductance in Asymmetric Chalker-Coddington Network Model
• Transport properties in network models with perfectly conducting channels
• Tunable chiral anomalies and coherent transport on a honeycomb lattice
• Disordered Graphene Ribbons as Topological Multicritical Systems
• Magnetoconductance of the Corbino disk in graphene: Chiral tunneling and quantum interference in the bilayer case
• Dynamics of Anderson localization in disordered wires
• Spin-polarizing electron beam splitter from crossed graphene nanoribbons
• Spin-polarized superconducting phase in semiconducting system with next-nearest-neighbor hopping on the honeycomb lattice
• Perfectly conducting channel and its robustness in disordered carbon nanostructures