标题： 非厄米非阿贝尔准周期晶格中的迁移环 显示英文标题

标题： Mobility rings in a non-Hermitian non-Abelian quasiperiodic lattice

摘要： 我们研究自旋-1/2非互易Aubry-André链中局域化和拓扑性质，该链具有SU(2)非阿贝尔人工规范场。结果表明，与阿贝尔情况不同，在非厄米拓扑相变过程中，将出现迁移环。作为迁移边缘的非厄米扩展，这些迁移环在周期性边界条件下将安德森局域本征态与扩展本征态在复能平面中分隔开。基于拓扑性质，我们得到了迁移环的精确表达式。此外，对相应的指标如逆参与率、归一化参与比、绕数、非厄米谱结构和波函数进行了数值研究。数值结果与解析表达式良好一致，证实了迁移环的出现。 显示英文摘要

摘要： We study localization and topological properties in spin-1/2 non-reciprocal Aubry-Andr\'{e} chain with SU(2) non-Abelian artificial gauge fields. The results reveal that, different from the Abelian case, mobility rings, will emerge in the non-Abelian case accompanied by the non-Hermitian topological phase transition. As the non-Hermitian extension of mobility edges, such mobility rings separate Anderson localized eigenstates from extended eigenstates in the complex energy plane under the periodic boundary condition. Based on the topological properties, we obtain the exact expression of the mobility rings. Furthermore, the corresponding indicators such as inverse participation rate, normalized participation ratio, winding number, non-Hermitian spectral structures and wave functions are numerically studied. The numerical results are in good agreement with the analytical expression, which confirms the emergence of mobility rings.