发表机构
The Hong Kong University of Science and Technology（香港科技大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究提出一类含内旋转的晶格，利用内旋转将互易耦合转化为非厄米皮肤效应，其通道可精确求解，混合共轭通道会产生临界无标度皮肤效应，循环三格点晶格与无源损耗谐振器阵列可实现此效应。
AI 中文摘要
我们提出一类晶格，其中每个原胞内的内旋转（一种守恒的紧致角动量）将互易耦合转化为非厄米皮肤效应。在每个守恒通道中，旋转特性使左右行振幅不等，因此通道定向局域化，而整个哈密顿量仍保持互易，共轭通道被钉扎在相反边界。每个通道均可精确求解，且携带整数点隙缠绕：在精确通道守恒下，相位形成ℤ^q，每对共轭通道对应一个整数，多重态中q无界；对于辛类AII^†中的半整数自旋j，q=j+1/2。混合共轭通道会将分级坍缩为临界的无标度皮肤效应，仅奇宇称AII^†的ℤ₂宇称保留。循环三格点晶格和无源损耗谐振器阵列可实现该效应。
英文摘要
A prominent class of reciprocal non-Hermitian skin effects has a $\Z_{2}$ topological classification, characterized by a parity invariant protected by reciprocity. We show that conserved internal rotation refines this classification into an unbounded integer-graded hierarchy. Every angular momentum channel is an exactly solvable asymmetric chain with its own integer point-gap winding, while conjugate channels accumulate at opposite edges so that reciprocity is preserved globally. For conserved channels, the classification contains one integer per conjugate pair, with the number of independent integers determined by the internal multiplet. Half-integer spin realizes the symplectic class AII$^{\dagger}$, whose $\Z_{2}$ index is recovered as the parity of the grading. Conjugate-channel mixing destroys the grading and leaves a critical, scale-free skin effect. A cyclic three-site lattice and a passive array of lossy resonators provide minimal realizations.
Comments10 pages, 3 figures
