Enhanced Diffusion from Twist-Angle Disorder
Abstract
We consider the effect of twist-angle disorder on the single-particle properties of twisted bilayer systems. These materials are a natural playground for studying how tiny, uncontrolled spatial variations may become unusually consequential; a local change in the twist geometry can give rise to spatially-correlated alterations of the parent Hamiltonian, which in turn affect the coarse-grained properties of the substrate such as transport and ordering tendencies. In analogy to electrodynamics, where the magnetic field is given by the curl of the vector potential, we model the twist angle as the curl of the relative displacement between the two bilayers. We find that geometric scattering constraints imposed here by the twist structure substantially suppress momentum relaxation relative to mean-rate-matched white noise. We quantify these effects and show that the problem can be mapped onto a non-linear sigma model (NLSM).
Related
- Duality Between Twist-Angle Disorder and Non-Hermitian Disorder
- Hierarchical Relaxation in Large-twist-angle Moire Drives Supermoire Formation
- The Flexoelectric Twist: Persistence of Heavy Fermion Picture in Small-Angle Twisted Bilayer Graphene
- Time-Reversal Selection Rule for Twist Disorder
- Two-stage Slowdown of Vacancy-mediated Diffusion in a Lattice Gas Model with Quenched Disorder and Spins
BibTeX
@misc{ticea2026enhanced,
title = {{Enhanced Diffusion from Twist-Angle Disorder}},
author = {Nicole S Ticea and Yi-Ming Wu},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.29062},
eprint = {2608.29062},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.29062},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Enhanced Diffusion from Twist-Angle Disorder
AU - Nicole S Ticea
AU - Yi-Ming Wu
PY - 2026
DA - 2026/08/29
PB - arXiv
DO - 10.48550/arxiv.2608.29062
UR - https://arxiv.org/abs/2608.29062
AB - We consider the effect of twist-angle disorder on the single-particle properties of twisted bilayer systems. These materials are a natural playground for studying how tiny, uncontrolled spatial variations may become unusually consequential; a local change in the twist geometry can give rise to spatially-correlated alterations of the parent Hamiltonian, which in turn affect the coarse-grained properties of the substrate such as transport and ordering tendencies. In analogy to electrodynamics, where the magnetic field is given by the curl of the vector potential, we model the twist angle as the curl of the relative displacement between the two bilayers. We find that geometric scattering constraints imposed here by the twist structure substantially suppress momentum relaxation relative to mean-rate-matched white noise. We quantify these effects and show that the problem can be mapped onto a non-linear sigma model (NLSM).
ER -