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A Real-Space Formulation of the Zak Phase via Weyl m-Functions
Habib Ammari, Clemens Thalhammer
We establish a new, real-space formula for the Zak phase for one dimensional periodic Jacobi operators in terms of the Weyl -function that does not rely on Floquet-Bloch theor…
Uniform Hyperbolicity, Bandgaps and Edge Modes in Aperiodic Systems of Subwavelength Resonators
Habib Ammari, Clemens Thalhammer, Alexander Uhlmann
We aim to characterise the spectral distributions of bi-infinite, semi-infinite, and finite aperiodic one-dimensional arrays of subwavelength resonators, constructed by sampling fr…
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…
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…