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Profile picture Clemens Thalhammer

Edge-Bulk Competition in Non-Reciprocal Disorder

Authors: Habib Ammari, Silvio Barandun, Clemens Thalhammer, Alexander Uhlmann

Venue: arXiv preprint (2025)

Published:

arXiv
mathematical physics disorder localisation non-reciprocal systems edge states

Abstract

We investigate the competing mechanisms of localisation in one-dimensional block disordered subwavelength resonator systems subject to non-reciprocal damping, induced by an imaginary gauge potential. Using a symmetrisation approach to enable the adaptation of tools from Hermitian systems, we derive the limiting spectral distribution of these systems as the number of blocks goes to infinity and characterise their spectral properties in terms of the spectral properties of their constituent blocks. By employing a transfermatrixapproach, wethenclarify, intermsofLyapunovexponents, thecompetition between the edge localisation due to imaginary gauge potentials and the bulk localisation due to disorder. In particular, we demonstrate how the disorder acts as insulation against the non-Hermit

Bibtex

@misc{ammari2025competingedgebulklocalisation,
      title={Competing edge and bulk localisation in non-reciprocal disordered systems},
      author={Habib Ammari and Silvio Barandun and Clemens Thalhammer and Alexander Uhlmann},
      year={2025},
      eprint={2507.02096},
      archivePrefix={arXiv},
      primaryClass={math-ph},
      url={https://arxiv.org/abs/2507.02096},
}