Band structure of twisted bilayer graphene: Emergent symmetries, commensurate approximants, and Wannier obstructions
By Liujun Zou, H. Po, Ashvin Vishwanath, T. Senthil. Physical review B, 2018
277 citations recorded by the source corpus.
Motivated by the exciting discovery of correlated insulating behavior and superconductivity in magic-angle bilayer graphene, the authors discuss here the salient features of the band structure of this system. A remarkable feature is the appearance of isolated, nearly flat bands around the magic angles. The authors discuss the importance of emergent symmetries of this system and clarify some potential confusion regarding commensurate structures of twisted bilayer graphene. Furthermore, they discuss the band topology, which leads to obstructions to constructing well-localized Wannier functions of the nearly flat bands, and give directions towards overcoming the difficulties.
Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry
View Paper: https://www.semanticscholar.org/paper/043a5bd6e724fc8e16925f5f12ca9f91fe188920
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In Atomic and Molecular Physics, and Optics
In Materials Chemistry
Citations in the corpus
- Failure of Nielsen-Ninomiya Theorem and Fragile Topology in Two-Dimensional Systems with Space-Time Inversion Symmetry: Application to Twisted Bilayer Graphene at Magic Angle (2018, background): “As pointed out in [29], the winding number of the two Dirac points can be determined by examining the mirror eigenvalues of the two occupied bands at the M point: if their mirror eigenvalues are opposite (equal), the winding numbers of the Dirac points at K and K ′ points are equal (opposite).”
- Flat bands, strange metals and the Kondo effect (2023, unknown): “1.”