Real-space representation of the second Chern number
Mesoscale and Nanoscale Physics
2025-06-26 v2 Statistical Mechanics
High Energy Physics - Lattice
Abstract
We extend Kitaev's real-space formulation of the first Chern number to the second Chern number and establish a computational framework for its evaluation. To test its validity, we apply the derived formula to the disordered Wilson-Dirac model and analyze its ability to capture topological properties in the presence of disorder. Our results demonstrate that the real-space approach provides a viable method for characterizing higher-dimensional topological phases beyond momentum-space formulations.
Cite
@article{arxiv.2502.14299,
title = {Real-space representation of the second Chern number},
author = {T. Shiina and F. Hamano and T. Fukui},
journal= {arXiv preprint arXiv:2502.14299},
year = {2025}
}
Comments
8 pages, 5 figures, v2: final version