English

Robust Zero Modes in Disordered Two-Dimensional Honeycomb Lattice with Kekul\'e Bond Ordering

Disordered Systems and Neural Networks 2022-11-28 v1

Abstract

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

Keywords

Cite

@article{arxiv.2102.00575,
  title  = {Robust Zero Modes in Disordered Two-Dimensional Honeycomb Lattice with Kekul\'e Bond Ordering},
  author = {Tohru Kawarabayashi and Yuya Inoue and Ryo Itagaki and Yasuhiro Hatsugai and Hideo Aoki},
  journal= {arXiv preprint arXiv:2102.00575},
  year   = {2022}
}

Comments

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

R2 v1 2026-06-23T22:42:23.259Z