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Perfect resonance and fragile localization suppression in correlated disordered chains — arXiv:2609.29053

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.29053
License (as archived): CC0-1.0
Archived: 2026-10-08T08:00:46.175Z
SHA-256 of the archived text: 5448b75e28a0813f54dcdfcfe298667609289005866e51c909667df5f293e3c7
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How to cite

Perfect resonance and fragile localization suppression in correlated disordered chains — arXiv:2609.29053 — arXiv (en), https://arxiv.org/abs/2609.29053 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_9c77a642dfd8 (Metraipolis archive dc_9c77a642dfd8, sha256 5448b75e28a0813f54dcdfcfe298667609289005866e51c909667df5f293e3c7)

BibTeX

@misc{dc9c77a642dfd8,
  title = {Perfect resonance and fragile localization suppression in correlated disordered chains — arXiv:2609.29053},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.29053},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_9c77a642dfd8; sha256 5448b75e28a0813f54dcdfcfe298667609289005866e51c909667df5f293e3c7},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.29053. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Spatial correlations can suppress scattering in disordered chains and produce perfectly transmitting resonances. The practical value of this protection, however, depends not on the resonance peak itself but on the width of the surrounding transmission window and its sensitivity to local ordering errors. We show that a resonance can remain exactly transparent at its center while arbitrarily rare adjacent-swap errors restore an inverse localization length proportional to the square of the energy detuning. For lossless single-channel chains assembled from independent blocks of fixed length and composition, this positive quadratic term is guaranteed by a local scattering invariant and holds for every arrangement and every fixed swap probability between zero and one. With exact tuning and matched contacts, the central transmission remains unity. A microscopic quantum chain exhibits both higher-order suppression of scattering in the ideal recursive arrangement and the predicted response to local exchanges. These results reveal a limitation of spatial ordering that is invisible to a measurement at the resonance alone: spatial ordering protects the resonance peak, not the transport around it. The effect can therefore be tested experimentally by measuring transmission spectra before and after exchanges, without identifying microscopic defects.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-09-25 in cond-mat.dis-nn).
Categorie arXiv: Disordered Systems and Neural Networks (cond-mat.dis-nn) ; Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Mathematical Physics (math-ph).
Pagina del lavoro: https://arxiv.org/abs/2609.29053 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-08T07:17:15.628Z dalla pagina https://arxiv.org/catchup/cond-mat.dis-nn/2026-09-25?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).