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PreprintCC BY 4.0arXiv

Duality Between Twist-Angle Disorder and Non-Hermitian Disorder

  • Yi-Ming Wu
  • Nicole S. Ticea
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Abstract

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.

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Cite

BibTeXRIS
BibTeX
@misc{wu2026duality,
  title = {{Duality Between Twist-Angle Disorder and Non-Hermitian Disorder}},
  author = {Yi-Ming Wu and Nicole S. Ticea},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2608.29064},
  eprint = {2608.29064},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.29064},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Duality Between Twist-Angle Disorder and Non-Hermitian Disorder
AU  - Yi-Ming Wu
AU  - Nicole S. Ticea
PY  - 2026
DA  - 2026/08/29
PB  - arXiv
DO  - 10.48550/arxiv.2608.29064
UR  - https://arxiv.org/abs/2608.29064
AB  - 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.
ER  -