Stability of the non-Hermitian skin effect in one dimension

DOI10.1137/23m1610537zbMATH Open1548.37149MaRDI QIDQ6598445

Habib Ammari, Erik Orvehed Hiltunen, Ping Liu, Unnamed Author, Bryn Davies

Publication date: 5 September 2024

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

stability analysisToeplitz matrixAnderson localizationnon-Hermitian skin effectsubwavelength resonatorsnon-Hermitian systemsdisorder-induced phase transitioneigenvector condensationimaginary gauge potential

Mathematics Subject Classification ID

Dynamical systems in solid mechanics (37N15) Sturm-Liouville theory (34B24) Eigenvalues, singular values, and eigenvectors (15A18) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Toeplitz, Cauchy, and related matrices (15B05)

Cites Work

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• Large bidiagonal matrices and random perturbations
• Toeplitz band matrices with small random perturbations
• EXPLICIT EIGENVALUES AND INVERSES OF TRIDIAGONAL TOEPLITZ MATRICES WITH FOUR PERTURBED CORNERS
• Mathematical analysis of electromagnetic scattering by dielectric nanoparticles with high refractive indices
• Refined Perturbation Bounds for Eigenvalues of Hermitian and Non-Hermitian Matrices
• Mathematical foundations of the non-Hermitian skin effect
• Anderson localization in the subwavelength regime
• Functional analytic methods for discrete approximations of subwavelength resonator systems

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