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

• URL: http://arxiv.org/abs/2507.12176v1
• Date: Wed, 16 Jul 2025 12:18:02 GMT
• Title: Mobility rings in a non-Hermitian non-Abelian quasiperiodic lattice
• Authors: Rui-Jie Chen, Guo-Qing Zhang, Zhi Li, Dan-Wei Zhang,
• Abstract summary: We study localization and topological properties in spin-1/2 non-reciprocal Aubry-Andr'e chain with SU(2) non-Abelian artificial gauge fields.<n>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.
• Score: 4.426527488510015
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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