论文标题
螺旋阻尼和异常临界非炎性皮肤效应
Helical damping and anomalous critical non-Hermitian skin effect
论文作者
论文摘要
非铁皮皮肤效应和关键的皮肤效应是非富裕系统的独特特征。在这封信中，我们研究了一个开放系统，其单粒子相关功能的动力学有效地由非铁毒抑制矩阵有效地控制，该矩阵表现出$ \ mathbb {z} _2 $皮肤效应，并揭示了存在新型螺旋阻尼现象的存在。当添加将异常时间逆转对称性打破到系统的扰动时，会发生临界皮肤效应，这会导致螺旋阻尼在热力学极限中的消失，尽管它可能存在于小型系统中。当我们将两个相同的系统与$ \ mathbb {z} _2 $皮肤效应搭配时，我们还证明了异常关键皮肤效应的存在。借助非Bloch带理论，我们公布了普遍的Brillouin区方程的变化是关键皮肤效应的必要条件。
Non-Hermitian skin effect and critical skin effect are unique features of non-Hermitian systems. In this Letter, we study an open system with its dynamics of single-particle correlation function effectively dominated by a non-Hermitian damping matrix, which exhibits $\mathbb{Z}_2$ skin effect, and uncover the existence of a novel phenomenon of helical damping. When adding perturbations that break anomalous time reversal symmetry to the system, the critical skin effect occurs, which causes the disappearance of the helical damping in the thermodynamic limit although it can exist in small size systems. We also demonstrate the existence of anomalous critical skin effect when we couple two identical systems with $\mathbb{Z}_2$ skin effect. With the help of non-Bloch band theory, we unveil that the change of generalized Brillouin zone equation is the necessary condition of critical skin effect.
