An article that we are finalizing at CQTS:
Identifying Anyonic Topological Order in
Fractional Quantum Anomalous Hall Systems
download (4+2 pages):
pdf (v2: minor polishing)
Recently observed fractional quantum anomalous Hall materials (FQAH) are candidates for topological quantum hardware, but their required anyon states are elusive. We point out dependence on monodromy of the fragile band topology in 2-cohomotopy. An algebro-topological theorem of Larmore & Thomas (1980) then identifies FQAH anyons over momentum space. Admissible braiding phases are -th roots of unity, for the Chern number. This lays the foundation for understanding symmetry-protected topological order in FQAH systems, reducing the problem to computations in equivariant cohomotopy.
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Last revised on July 3, 2025 at 15:12:52. See the history of this page for a list of all contributions to it.