Soliton fractional charge of disordered graphene nanoribbon

Abstract

We investigate the properties of the gap-edge states of half-filled interacting disordered zigzag graphene nanoribbons. We find that the midgap states can display the quantized fractional charge of 1/2. These gap-edge states can be represented by topological kinks with their site probability distribution divided between the opposite zigzag edges with different chiralities. In addition, there are numerous spin-split gap-edge states, similar to those in a Mott-Anderson insulator.

arXiv comment11 pages, 19 figures; J. Phys.: Condens. Matter 31 (2019) 265601; estimate of quantum charge fluctuations is included; more references are added

References in corpus (24)

• The electronic properties of graphene
• Unpaired Majorana fermions in quantum wires
• Half-Metallic Graphene Nanoribbons
• On-surface synthesis of graphene nanoribbons with zigzag edge topology
• Electronic States of Graphene Nanoribbons
• Magnetism in graphene nano-islands
• Electronic structure and magnetic properties of graphitic ribbons
• Electronic properties of graphene: a perspective from scanning tunneling microscopy and magneto-transport
• Statistics and Scaling in Disordered Mesoscopic Electron Systems
• Perfectly Conducting Channel and Universality Crossover in Disordered Nano-Graphene Ribbons
• Theoretical Studies of Superconductor-Insulator Transitions
• Oriented Graphene Nanoribbons Embedded in Hexagonal Boron Nitride Trenches
• Interacting Electrons in Graphene: Fermi Velocity Renormalization and Optical Response
• Interactions, Localization, and the Integer Quantum Hall Effect
• Interplay between sublattice and spin symmetry breaking in graphene
• End states in a 1-D topological Kondo insulator
• Coulomb impurity problem of graphene in magnetic fields
• The role of the disorder range and electronic energy in the graphene nanoribbons perfect transmission
• Coulomb Gaps in One-Dimensional Spin-Polarized Electron Systems
• Topological gap states of semiconducting armchair graphene ribbons
• Effect of weak impurities on electronic properties of graphene: functional renormalization-group analysis
• X-ray edge problem of graphene
• Topological end states and Zak phase of rectangular armchair ribbon
• Gap states and edge properties of rectangular graphene quantum dot in staggered potential

Cited by in corpus (8)

• Topologically ordered zigzag nanoribbon: $e/2$ fractional edge charge, spin-charge separation, and ground state degeneracy
• Topological entanglement entropy of interacting disordered zigzag graphene ribbons
• Fractional boundary charges with quantized slopes in interacting one- and two-dimensional systems
• Mutual information and correlations across topological phase transitions in topologically ordered graphene zigzag nanoribbons
• New disordered anyon phase of doped graphene zigzag nanoribbon
• Instantons and topological order in two-leg electron ladders: A universality class
• Quantum Entanglement of Anyonic Charges and Emergent Spacetime Geometry
• Vortex Fractional Fermion Number through Heat Kernel methods and Edge States