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math-ph2025
Flat bands, Dirac cones, and higher-order band crossings in twisted multilayer graphene
Bryan Li, Mengxuan Yang
For the chiral limit of two sheets of -layer Bernal-stacked graphene established in the Physical Review Letters arXiv:2109.10325 and arXiv:2109.11514, we prove a trichotomy: dep…
math-ph2025
Wannier decay and the Thouless conjecture
Simon Becker, Zhongkai Tao, Mengxuan Yang
Non-trivial Chern classes pose an obstruction to the existence of exponentially decaying Wannier functions which provide natural bases for spectral subspaces. For non-trivial Bloch…