论文标题
实际光谱和皮肤效应的相变
Real spectra and phase transition of skin effect in nonreciprocal systems
论文作者
论文摘要
我们研究了具有实际邻近跳跃的一维非认定晶格，发现在开放边界条件下的能量光谱可能是完全真实的或虚构的。我们进一步研究了在一维的镶嵌晶格中的光谱特性和非铁皮皮肤效应，并在同样间隔的位点引入了真正的非年代跳跃。此类晶格的特征力经历了实际复杂的疑问或实现复杂的转变，因为非年代性是不同的。此外，皮肤效应取决于镶嵌非乳突周期。通过越过临界点，散装状态突然从晶格的一端转移到了相反的状态，并伴随着周期性边界条件下光谱中点间隙的关闭和重新打开。提出了过渡的相图，并通过分析确定临界边界。我们的作品揭示了非富裕系统中能量光谱和皮肤效应的有趣特性。
We study the one-dimensional nonreciprocal lattices with real nearest neighboring hopping and find that the energy spectra under open boundary conditions can be entirely real or imaginary. We further investigate the spectral properties and the non-Hermitian skin effect in the one-dimensional mosaic lattices with real nonreciprocal hopping introduced at equally spaced sites. The eigenenergies of such lattices undergo a real-complex-imaginary or real-complex transition as the nonreciprocity varies. Moreover, the skin effect exhibits phase transitions depending on the period of the mosaic nonreciprocity. The bulk states are abruptly shifted from one end of the lattice to the opposite one by crossing the critical points, accompanied by the closing and reopening of point gaps in the spectra under periodic boundary conditions. The phase diagrams of the transition are presented and the critical boundaries are analytically determined. Our work unveils the intriguing properties of the energy spectrum and skin effect in non-Hermitian systems.
