Anomalous Skin Effects in Disordered Systems with a Single Non-Hermitian Impurity

Explore the fascinating world of non-Hermitian physics in this comprehensive lecture on anomalous skin effects in disordered systems with a single non-Hermitian impurity. Delve into the unique features of non-Hermitian systems, including the non-Hermitian skin effect (NHSE) and its potential applications in sensor technology. Examine the concept of scale-free localization at strong non-Hermitian impurities and understand how it differs from the NHSE occurring at open boundaries. Investigate the interplay between anisotropic hopping terms and bulk potential disorder, leading to robust non-monotonic localization behavior. Learn about the persistence of scale-free localization in Hermitian bulk systems and its implications for local sensing and control in various experimental setups, including photonic, mechanical, and acoustic systems.