ArticleAdvanced science (Weinheim, Baden-Wurttemberg, Germany)2022
Experimental Identification of the Second-Order Non-Hermitian Skin Effect with Physics-Graph-Informed Machine Learning.
Article in Advanced science (Weinheim, Baden-Wurttemberg, Germany), 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 7 papers.
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Who cites it
7 citing papers in PubMed.
- Deep-learning-empowered programmable topolectrical circuits.Nature communications · 2026Article
- Beyond the Non-Hermitian Skin Effect: Scaling-Controlled Topology from Exceptional-Bound Bands.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2026Article
- Lossy phononic metamaterials for valley nonreciprocity.Nature communications · 2026Article
- Phase-Space Generalized Brillouin Zone For Spatially Inhomogeneous Non-Hermitian Systems.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2025Article
- Dynamic protected states in the non-Hermitian system.Scientific reports · 2024Article
- Observation of a Higher-Order End Topological Insulator in a Real Projective Lattice.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2024Article
- Experimental Identification of the Second-Order Non-Hermitian Skin Effect with Physics-Graph-Informed Machine Learning.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2022Article
Corrections and comments
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Authors and funding
14 authors.
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No grant is acknowledged in the PubMed record.
Abstract
Topological phases of matter are conventionally characterized by the bulk-boundary correspondence in Hermitian systems. The topological invariant of the bulk in d dimensions corresponds to the number of (d - 1)-dimensional boundary states. By extension, higher-order topological insulators reveal a bulk-edge-corner correspondence, such that nth order topological phases feature (d - n)-dimensional boundary states. The advent of non-Hermitian topological systems sheds new light on the emergence of the non-Hermitian skin effect (NHSE) with an extensive number of boundary modes under open boundary conditions. Still, the higher-order NHSE remains largely unexplored, particularly in the experiment. An unsupervised approach-physics-graph-informed machine learning (PGIML)-to enhance the data mining ability of machine learning with limited domain knowledge is introduced. Through PGIML, the second-order NHSE in a 2D non-Hermitian topoelectrical circuit is experimentally demonstrated. The admittance spectra of the circuit exhibit an extensive number of corner skin modes and extreme sensitivity of the spectral flow to the boundary conditions. The violation of the conventional bulk-boundary correspondence in the second-order NHSE implies that modification of the topological band theory is inevitable in higher dimensional non-Hermitian systems.
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