Chiral model of twisted bilayer graphene realized in a monolayer

Crépel, Valentin; Dunbrack, Aaron; Guerci, Daniele; Bonini, John; Cano, Jennifer

doi:10.1103/physrevb.108.075126

Phys. Rev. B

2023

DOI: 10.1103/physrevb.108.075126

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Chiral model of twisted bilayer graphene realized in a monolayer

Valentin Crépel

Aaron Dunbrack

Daniele Guerci

et al.

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2024

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Cited by 7 publications

References 62 publications

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Chiral limit and origin of topological flat bands in twisted transition metal dichalcogenide homobilayers

Crépel,

Regnault,

Queiroz

2024

Commun Phys

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The observation of zero field fractional quantum Hall analogs in twisted transition metal dichalcogenides (TMDs) asks for a deeper understanding of what mechanisms lead to topological flat bands in two-dimensional heterostructures, and what makes TMDs an excellent platform for topologically ordered phases, surpassing twisted bilayer graphene. To this aim, we explore the chiral limits of massive Dirac theories applicable to C3-symmetric moiré materials, and show their relevance for both bilayer graphene and TMD homobilayers. In the latter, the Berry curvature of valence bands leads to relativistic corrections of the moiré potential that promote band flattening, and permit a limit with exactly flat bands with nonzero Chern number. The relativistic corrections enter as a layer-orbit coupling, analogous to spin-orbit coupling for relativistic Dirac fermions, which we show is non-negligible on the moiré scale. The Berry curvature of the TMD monolayers therefore plays an essential role in the flattening of moiré Chern bands in these heterostructures.

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Chiral limit and origin of topological flat bands in twisted transition metal dichalcogenide homobilayers

Crépel,

Regnault,

Queiroz

2024

Commun Phys

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Correlated phases and topological phase transition in twisted bilayer graphene at one quantum of magnetic flux

Sánchez Sánchez,

Stauber

2024

Phys. Rev. B

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Gate-tunable topological phases in superlattice modulated bilayer graphene

Zeng,

Wolf,

Huang

et al. 2024

Phys. Rev. B

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Chiral model of twisted bilayer graphene realized in a monolayer

Cited by 7 publications

References 62 publications

Chiral limit and origin of topological flat bands in twisted transition metal dichalcogenide homobilayers

Chiral limit and origin of topological flat bands in twisted transition metal dichalcogenide homobilayers

Correlated phases and topological phase transition in twisted bilayer graphene at one quantum of magnetic flux

Gate-tunable topological phases in superlattice modulated bilayer graphene

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