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.

Introduction
NonRemission Hamiltonians
Hamiltonians in Nuclear Physics
Hamiltonians in Electrical and Optical Systems
Outline
NonRemission Skin Effect
Atano Nelson Chain
Skin Effect Behavior
Nano Emission Systems
Sensing Applications
Numerical Check
Impurity
Hamiltonian
Localization
Scale Free
Summary
What does disorder do
Results
Conclusion