Real-space topological localizer index to fully characterize the dislocation skin effect
arxiv(2023)
摘要
The dislocation skin effect exhibits the capacity of topological defects to
trap an extensive number of modes in two-dimensional non-Hermitian systems.
Similar to the corresponding skin effects caused by system boundaries, this
phenomenon also originates from nontrivial topology. However, finding the
relationship between the dislocation skin effect and nonzero topological
invariants, especially in disordered systems, can be obscure and challenging.
Here, we introduce a real-space topological invariant based on the spectral
localizer to characterize the skin effect on two-dimensional lattices. We
demonstrate that this invariant consistently predicts the occurrence and
location of both boundary and dislocation skin effects, offering a unified
approach applicable to both ordered and disordered systems. Our work
demonstrates a general approach that can be utilized to diagnose the
topological nature of various types of skin effects, particularly in the
absence of translational symmetry when momentum-space descriptions are
inapplicable.
更多查看译文
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要