3 citations · 7 across the 13 of their papers we have counts for
13 papers
Anderson transition in disordered Hatano-Nelson systems
Silvio Barandun
We illuminate the fundamental mechanism responsible for the transition between the non-Hermitian skin effect and defect-induced Anderson localization in the bulk via the study of L…
Competing edge and bulk localisation in non-reciprocal disordered systems
Habib Ammari, Silvio Barandun, Clemens Thalhammer +1
We investigate the competing mechanisms of localisation in one-dimensional block disordered subwavelength resonator systems subject to non-reciprocal damping, induced by an imagina…
Universal estimates for the density of states for aperiodic block subwavelength resonator systems
Habib Ammari, Silvio Barandun, Bryn Davies +2
We consider the spectral properties of aperiodic block subwavelength resonator systems in one dimension, with a primary focus on the density of states. We prove that for random blo…
Subwavelength Localisation in Disordered Systems
Habib Ammari, Silvio Barandun, Alexander Uhlmann
We elucidate the different mechanisms of wave localisation in disordered finite systems of subwavelength resonators, where the disorder is in the spatial arrangement of the resonat…
Truncated Floquet-Bloch transform for computing the spectral properties of large finite systems of resonators
Habib Ammari, Silvio Barandun, Alexander Uhlmann
The truncated Floquet-Bloch transform can be used to characterise the spectral properties of finite periodic and aperiodic large systems of resonators. This paper aims to provide f…
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…
Generalised Brillouin Zone for Non-Reciprocal Systems
Habib Ammari, Silvio Barandun, Ping Liu +1
Recently, it has been observed that the Floquet-Bloch transform with real quasiperiodicities fails to capture the spectral properties of non-reciprocal systems. The aim of this pap…
Tunable Localisation in Parity-Time-Symmetric Resonator Arrays with Imaginary Gauge Potentials
Habib Ammari, Silvio Barandun, Ping Liu +1
The aim of this paper is to illustrate both analytically and numerically the interplay of two fundamentally distinct non-Hermitian mechanisms in a deep subwavelength regime. Consid…
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…
Exponentially localised interface eigenmodes in finite chains of resonators
Habib Ammari, Silvio Barandun, Bryn Davies +3
This paper studies wave localisation in chains of finitely many resonators. There is an extensive theory predicting the existence of localised modes induced by defects in infinitel…
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…
Edge modes in subwavelength resonators in one dimension
Habib Ammari, Silvio Barandun, Jinghao Cao +1
We present the mathematical theory of one-dimensional infinitely periodic chains of subwavelength resonators. We analyse both Hermitian and non-Hermitian systems. Subwavelength res…