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Duality Between Twist-Angle Disorder and Non-Hermitian Disorder — arXiv:2608.29064

Source: arXiv (en)
Original: https://arxiv.org/abs/2608.29064
License (as archived): CC0-1.0
Archived: 2026-10-17T10:23:46.130Z
SHA-256 of the archived text: 18bf6bf5769d24200f9a95b0cd61a86ca91ecd97b01d341574d5537069031942
Stable URL of this page: https://metraipolis.com/documento/dc_73477bb2ce2f

How to cite

Duality Between Twist-Angle Disorder and Non-Hermitian Disorder — arXiv:2608.29064 — arXiv (en), https://arxiv.org/abs/2608.29064 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_73477bb2ce2f (Metraipolis archive dc_73477bb2ce2f, sha256 18bf6bf5769d24200f9a95b0cd61a86ca91ecd97b01d341574d5537069031942)

BibTeX

@misc{dc73477bb2ce2f,
  title = {Duality Between Twist-Angle Disorder and Non-Hermitian Disorder — arXiv:2608.29064},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2608.29064},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_73477bb2ce2f; sha256 18bf6bf5769d24200f9a95b0cd61a86ca91ecd97b01d341574d5537069031942},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2608.29064. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We propose and study a model of moire heterobilayer systems where the twist angle remains uniform and well defined only within a finite range, but deforms randomly at larger distances. The local twist angle is then subject to a certain probability distribution that penalizes large fluctuations around its mean value. Within the framework of the replica trick, we show that disorder averaging produces a nontrivial correlation with alternating sign between replicas, maximized only close the boundary of each local domain and along certain directions. We show that for the low-energy moire bands, exactly the same correlation can be generated in a dual model where fermions are coupled to non-Hermitian disorder, which can evade Anderson localization dynamically. This duality provides a new perspective to investigate twist-angle disorder in moire systems, and unveils some of the essential differences between twist-angle disorder and conventional disorder.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-09-01 in cond-mat.dis-nn).
Categorie arXiv: Strongly Correlated Electrons (cond-mat.str-el) ; Disordered Systems and Neural Networks (cond-mat.dis-nn).
Pagina del lavoro: https://arxiv.org/abs/2608.29064 — 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 2026-10-17T10:07:24.957Z dalla pagina https://arxiv.org/catchup/cond-mat.dis-nn/2026-09-01?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).