Metal-to-insulator transition and electron-hole puddle formation in disordered graphene nanoribbons

Abstract

The experimentally observed metal-to-insulator transition in hydrogenated graphene is numerically confirmed for actual sized graphene samples and realistic impurity concentrations. The eigenstates of our tight-binding model with substitutional disorder corroborate the formation of electron-hole-puddles with characteristic length scales comparable to the ones found in experiments. The puddles cause charge inhomogeneities and tend to suppress Anderson localization. Even though, monitoring the charge carrier quantum dynamics and performing a finite-size scaling of the local density of states distribution, we find strong evidence for the existence of localized states in graphene nanoribbons with short-range but also correlated long-range disorder.

4+ pages, 7 figures, substantially revised version, accepted for publication in Phys. Rev. Lett

References in corpus (17)

• The electronic properties of graphene
• Control of graphene's properties by reversible hydrogenation
• STM Spectroscopy of ultra-flat graphene on hexagonal boron nitride
• Emergence of magnetism in graphene materials and nanostructures
• The Kernel Polynomial Method
• Quantum transport of massless Dirac fermions in graphene
• Tunable metal-insulator transition in double-layer graphene heterostructures
• Topological delocalization of two-dimensional massless Dirac fermions
• Spatially resolved spectroscopy of monolayer graphene on SiO2
• Perfectly Conducting Channel and Universality Crossover in Disordered Nano-Graphene Ribbons
• Localization and Kosterlitz-Thouless Transition in Disordered Graphene
• Multifractal finite-size-scaling and universality at the Anderson transition
• Wave packet dynamics and valley filter in strained graphene
• Density inhomogeneity driven percolation metal-insulator transition and dimensional crossover in graphene nanoribbons
• Anderson localization of electron states in graphene in different types of disorder
• Chebyshev approach to quantum systems coupled to a bath
• Dynamical Aspects of 2D Quantum Percolation

Cited by in corpus (23)

• Nitrogen-Doped Graphene Sheets Grown by Chemical Vapor Deposition: Synthesis and Influence of Nitrogen Impurities on Carrier Transport
• Transport properties of 2D graphene containing structural defects
• The Physics of Kondo Impurities in Graphene
• Nano-engineered non-uniform strain in graphene
• High-performance implementation of Chebyshev filter diagonalization for interior eigenvalue computations
• Control of proton transport and hydrogenation in double-gated graphene
• Electronic Transport in Graphene with Aggregated Hydrogen Adatoms
• Electron dynamics in graphene with gate-defined quantum dots
• Magnetic Phases of Graphene Nanoribbons under Potential Fluctuations
• Effects of disorder and contacts on transport through graphene nanoribbons
• Chebyshev Filter Diagonalization on Modern Manycore Processors and GPGPUs
• Quantum Capacitance of Graphene Sheets and Nanoribbons
• Effects of random atomic disorder on the magnetic stability of graphene nanoribbons with zigzag edges
• Defect induced Anderson localization and magnetization in graphene quantum dots
• Localisation and finite-size effects in graphene flakes
• Electronic Properties of $\alpha -{\mathcal{T}}_3$ Quantum Dots in Magnetic Fields
• Approximating spectral densities of large matrices
• Mechanism of the electrochemical hydrogenation of graphene
• Nonlinear electric transport in graphene with magnetic disorder
• Transport and quantum coherence in graphene rings: Aharonov-Bohm oscillations, Klein tunneling and particle localization
• Disordered Graphene Ribbons as Topological Multicritical Systems
• A domain-specific language and matrix-free stencil code for investigating electronic properties of Dirac and topological materials
• Strain-enhanced edge ferromagnetism and bipolar magnetic semiconducting behavior in Janus graphene nanoribbons