Robust Zero Modes in Disordered Two-Dimensional Honeycomb Lattice with Kekulé Bond Ordering

Abstract

Robustness of zero-modes of two-dimensional Dirac fermions is examined numerically for the honeycomb lattice in the presence of Kekulé bond ordering. The split $n=0$ Landau levels in a magnetic field as well as the zero-modes generated by topological defects in the Kekulé ordering are shown to exhibit anomalous robustness against disorder when the chiral symmetry is respected.

11 pages, 9 figures, submitted to the proceedings of Localisation 2020

References in corpus (5)

• The electronic properties of graphene
• The Kernel Polynomial Method
• Electron fractionalization for two-dimensional Dirac fermions
• Irrational vs. rational charge and statistics in two-dimensional quantum systems
• Topological low-energy modes in N=0 Landau levels of graphene: a possibility of a quantum-liquid ground state