2025/05/26 by Mohammed M. Al Ezzi, Ezzi, Mohammed M. Al, Anqi Zhu +7 · 1 citation
Engineering · Physics and Astronomy · #Bilayer #Bilayer graphene #Commensurability (mathematics) #Elasticity and Material Modeling #FOS: Physical sciences #Homogeneous space #Materials Science (cond-mat.mtrl-sci) #Quantum chaos and dynamical systems #Relativity and Gravitational Theory #Strongly Correlated Electrons (cond-mat.str-el) #Symmetry (geometry) #Twist #Universality (dynamical systems)
paper · pdf · doi:10.48550/arxiv.2505.19485
published in arXiv (Cornell University) (Cornell University)
openalex publication_date 2025/05/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Two-dimensional multi-layer materials with an induced moiré pattern, either due to strain or relative twist between layers, provide a versatile platform for exploring strongly correlated and topological electronic phenomena. While these systems offer unprecedented tunability, their theoretical description remains challenging due to their complex atomic structures and large unit cells. A notable example is twisted bilayer graphene, where even the relevant symmetry group remains unsettled despite its critical role in constructing effective theories. Here, we focus on twisted bilayer graphene and use a combination of analytical methods, molecular dynamics simulations, and first-principles calculations to show that twisted atomic configurations with distinct microscopic symmetries converge to a universal interlayer structure that governs the low-energy physics. This emergent universality provides a robust foundation for symmetry-respecting models and offers insight into the role of commensurability in real twisted moiré systems.