Localized states coupled to a network of chiral modes in minimally twisted bilayer graphene

Abstract

Minimally twisted bilayer graphene in the presence of an interlayer bias develops a triangular network of valley chiral modes that propagate along the $AB/BA$ interfaces and scatter at the $AA$ regions. The low energy physics of the resulting network can be captured by means of a phenomenological scattering network model, allowing to calculate the energy spectrum and the magnetoconductance in a straightforward way. Although there is in general a good agreement between microscopic and phenomenological models, there are some aspects that have not been captured so far with the latter. In particular, the appearance of flatbands in the energy spectrum associated to a localized density of states at the $AA$ regions. To bring both approaches closer together, we modify the previous energy independent phenomenological model and add the possibility to scatter to a set of discrete energy levels at the $AA$ regions, yielding a $S$ matrix with energy dependent parameters. Furthermore, we investigate the impact of Coulomb repulsion in these regions on a mean-field level and discuss possible effects of decoherence due to elastic and inelastic cotunneling events.

15 pages, 7+2 figures, comments are welcome

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Cited by in corpus (6)

• Electrically tunable correlated domain wall network in twisted bilayer graphene
• Arrays of one-dimensional conducting channels in minimally twisted bilayer graphene
• Josephson junction of minimally twisted bilayer graphene
• Network of chiral one-dimensional channels and localized states emerging in a moiré system
• Coupled-wire descriptions of unconventional quantum states in twisted nanostructures
• Effects of spin-orbit coupling in a valley chiral kagomé network