Incommensurability-induced sub-ballistic narrow-band-states in twisted bilayer graphene

• Type: Article in International Scientific Journal
• Date: 2022

Authors

Goncalves, M (Author) Other; Olyaei, HZ (Author) Other; Amorim, B (Author) Other; Mondaini, R (Author) Other; Ribeiro, P (Author) Other; Eduardo V Castro (Author) FCUP

Journal

The Journal is awaiting validation by the Administrative Services.

Title: 2D MATERIALS

Vol. 9

ISSN: 2053-1583

Indexing

ISI Web of Knowledge - 5 Citations

Scopus - 8 Citations

Other information

Authenticus ID: P-00V-NQ5

DOI: 10.1088/2053-1583/ac3259

Abstract (EN): We study the localization properties of electrons in incommensurate twisted bilayer graphene for small angles, encompassing the narrow-band regime, by numerically exact means. Sub-ballistic states are found within the narrow-band region around the magic angle. Such states are delocalized in momentum-space and follow non-Poissonian level statistics, in contrast with their ballistic counterparts found for close commensurate angles. Transport results corroborate this picture: for large enough systems, the conductance of samples with fixed width decreases with the system size in the longitudinal direction for incommensurate angles within the sub-ballistic regime. Our results show that incommensurability/quasiperiodicity effects are of crucial importance in the narrow-band regime. The incommensurate nature of a general twist angle must therefore be taken into account for an accurate description of magic-angle twisted bilayer graphene.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 8