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Braiding topology of symmetry-protected degeneracy points in non-Hermitian systems
- 发表刊物：PHYSICAL REVIEW B
- 摘要：Degeneracy points in non-Hermitian systems are of great interest. While a homotopic framework exists for understanding their behavior in the absence of symmetry, it does not apply to symmetry-protected degeneracy points with reduced codimension. In this work, utilizing algebraic topology, we provide a systematic classification of these symmetry-protected degenerate points and investigate the braid conservation rule followed by them. Using a model Hamiltonian and circuit simulation, we discover that, contrary to simple annihilation, pairwise-created symmetry-protected degeneracy points merge into a higher-order degeneracy point, which goes beyond the abelian picture. Our findings empower researchers across diverse fields to uncover new phenomena and applications harnessing symmetry-protected non-Hermitian degeneracy points.
- 论文类型：期刊论文
- 卷号：109
- 期号：4
- 页面范围：L041102
- 是否译文：否
- 发表时间：2024-01-05
- 发布期刊链接：https://journals.aps.org/prb/abstract/10.1103/PhysRevB.109.L041102
