在分数量子异常哈尔系统中识别任意子拓扑秩序
强关联电子
2026-01-16 v1 介观与纳米尺度物理
数学物理
代数拓扑
math.MP
量子物理
摘要
最近观察到的分数量子异常哈尔材料 (FQAH) 是拓扑量子硬件的候选材料,但其所需的任意子状态尚难以发现。我们指出 2-cohomotopy 中脆弱带拓扑对 FQAH 任意子的依赖性。Larmore & Thomas (1980) 的代数-拓扑定理 then identifies FQAH anyons over momentum space. Admissible braiding phases are 2C-th roots of unity, for C the Chern number. This lays the foundation for understanding symmetry-protected topological order in FQAH systems, reducing the problem to computations in equivariant cohomotopy.
关键词
引用
@article{arxiv.2507.00138,
title = {Identifying Anyonic Topological Order in Fractional Quantum Anomalous Hall Systems},
author = {Hisham Sati and Urs Schreiber},
journal= {arXiv preprint arXiv:2507.00138},
year = {2026}
}
备注
4+2 pages, a couple of figures