Moiré bands in twisted double-layer graphene

By R. Bistritzer, Allan H. MacDonald. Proceedings of the National Academy of Sciences of the United States of America, 2010

2,966 citations recorded by the source corpus.

A moiré pattern is formed when two copies of a periodic pattern are overlaid with a relative twist. We address the electronic structure of a twisted two-layer graphene system, showing that in its continuum Dirac model the moiré pattern periodicity leads to moiré Bloch bands. The two layers become more strongly coupled and the Dirac velocity crosses zero several times as the twist angle is reduced. For a discrete set of magic angles the velocity vanishes, the lowest moiré band flattens, and the Dirac-point density-of-states and the counterflow conductivity are strongly enhanced.

Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/c9b1d5d22edcb8f8dc2d0c816bf324c80665735a

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In Atomic and Molecular Physics, and Optics

In Materials Chemistry

Citations in the corpus

Graphite, Graphene, and the Flat Band Superconductivity (2018, background): “There are different potential sources of the formation of the electronic flat band: due to topology [12, 13, 14, 15], due to symmetry [16, 17] and due to interactions [10, 18, 19, 20, 21, 22].”
Berry curvature dipole senses topological transition in a moiré superlattice (2022, methodology): “While Berry curvature and its effects in materials have been studied [1, 2], detecting changes in the topological invariant, Chern number, is challenging.”
Correlated insulator behaviour at half-filling in magic-angle graphene superlattices (2018, background): “   ± ( ) k E ħv k ħ m k k ħv k ħ m k k ( ) 2 (6) x x y y x y F 2 2 2 2”