3 citations · 4 across the 6 of their papers we have counts for
6 papers
Applications of Chebyshev polynomials and Toeplitz theory to topological metamaterials
Habib Ammari, Silvio Barandun, Ping Liu
We survey the use of Chebyshev polynomials and Toeplitz theory for studying topological metamaterials. We consider both Hermitian and non-Hermitian systems of subwavelength resonat…
A two-scale effective model for defect-induced localization transitions in non-Hermitian systems
Bryn Davies, Silvio Barandun, Erik Orvehed Hiltunen +2
We illuminate the fundamental mechanism responsible for the transition between the non-Hermitian skin effect and defect-induced localization in the bulk. We study a Hamiltonian wit…
Spectra and pseudo-spectra of tridiagonal -Toeplitz matrices and the topological origin of the non-Hermitian skin effect
Habib Ammari, Silvio Barandun, Yannick De Bruijn +2
We establish new results on the spectra and pseudo-spectra of tridiagonal -Toeplitz operators and matrices. In particular, we prove the connection between the winding number of…
The Non-Hermitian Skin Effect With Three-Dimensional Long-Range Coupling
Habib Ammari, Silvio Barandun, Jinghao Cao +3
We study the non-Hermitian skin effect in a three-dimensional system of finitely many subwavelength resonators with an imaginary gauge potential. We introduce a discrete approximat…
Stability of the non-Hermitian skin effect
Habib Ammari, Silvio Barandun, Bryn Davies +2
This paper shows that the skin effect in systems of non-Hermitian subwavelength resonators is robust with respect to random imperfections in the system. The subwavelength resonator…
Perturbed Block Toeplitz matrices and the non-Hermitian skin effect in dimer systems of subwavelength resonators
Habib Ammari, Silvio Barandun, Ping Liu
The aim of this paper is fourfold: (i) to obtain explicit formulas for the eigenpairs of perturbed tridiagonal block Toeplitz matrices; (ii) to make use of such formulas in order t…