2025/05/06 by Junmo Jeon, Shiro Sakai, Jeon, Junmo +1 · 3 citations
Materials Science · Physics and Astronomy · #Anderson localization #Asymmetry #Diagonal #Dimension (graph theory) #Electron #Magnetic properties of thin films #Position (finance) #Quasicrystal Structures and Properties #Realization (probability) #Scaling #Singularity #Theoretical and Computational Physics
paper · pdf · open access · doi:10.1103/qg97-s1vt
published in Physical review. B./Physical review. B 112(16) (American Physical Society)
openalex publication_date 2025/09/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Motivated by recent advances in the realization of Truchet-tiling structures in molecular networks and metal-organic frameworks, we investigate the wave localization issue in this kind of structure. We introduce an electron model based on random Truchet tilings, square lattices with randomly oriented diagonal links, and uncover a rich interplay between spectral and localization phenomena. By varying the strength of diagonal couplings, we explore successive transitions from an extended phase, through a regime with a mobility edge, to a fully localized phase. The energy-resolved fractal dimension analysis captures the emergence and disappearance of mobility edges, while an anomalous shift and asymmetry in the Van Hove singularity are identified as key signatures of the underlying disordered Truchet-tiling structure. Notably, by using the finite-size scaling of level spacing statistics, we clarify that the transition occurs at a finite level of disorder even in the two-dimensional system. Our findings position Truchet-tiled electron systems as a versatile platform for engineering disorder-driven localization and interaction effects in amorphous quantum materials and photonic architectures.