Real-space representation of the second Chern number
arXiv:2502.14299 · doi:10.1103/ztk4-ckj1
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.
8 pages, 5 figures, v2: final version
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