Reciprocal skin effect and its realization in a topolectrical circuit

2019/08/31 by Tobias Hofmann, Tobias Helbig, Frank Schindler +13 · 3 citations
Mathematics · Physics and Astronomy · #Computer science #Linguistics #Mathematics #Mechanical and Optical Resonators #Philosophy #Quantum Mechanics and Non-Hermitian Physics #Realization (probability) #Reciprocal #Statistics #Topological Materials and Phenomena #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevresearch.2.023265

published as Phys. Rev. Research 2, 023265 (2020) · 12 pages, 5 figures, accepted manuscript

openalex publication_date 2020/06/02 · arxiv created 2020/06/04 · arxiv updated 2020/06/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

This work explores a non-Hermitian system displaying a reciprocal variant of the skin effect, which is characterized by an extensive anomalous localization of all Hamiltonian eigenmodes in a one-dimensional geometry. The authors experimentally demonstrate the reciprocal skin effect in a passive RLC circuit and suggest alternative implementations in optical, acoustic, mechanical, and related platforms.

Citations

• Berry’s phase for energy bands in solids
• Topological insulators and superconductors
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• �ber die Quantenmechanik der Elektronen in Kristallgittern
• Quantal phase factors accompanying adiabatic changes
• Topological Insulators
• Topolectrical-circuit realization of topological corner modes
• Non-Hermitian Boundary Modes
• Electric circuits for non-Hermitian Chern insulators
• Observation of non-Hermitian bulk-boundary correspondence in quantum dynamics
• Topological Origin of Non-Hermitian Skin Effects

Cited by

• Engineering edge states in two-leg SSH ladder and their topoelectric circuit realization
• Observation of gauge field induced non-Hermitian helical skin effects
• Hopf Exceptional Points