A self-consistent Hartree theory for lattice-relaxed magic-angle twisted bilayer graphene
arxiv(2024)
摘要
For twisted bilayer graphene close to magic angle, we show that the effects
of lattice relaxation and the Hartree interaction both become simultaneously
important. Including both effects in a continuum theory reveals a Lifshitz
transition to a Fermi surface topology that supports both a “heavy fermion"
pocket and an ultraflat band (≈ 8 meV) that is pinned to the
Fermi energy for a large range of fillings. We provide analytical and numerical
results to understand the narrow “magic angle range" that supports this pinned
ultraflat band and make predictions for its experimental observation. We
believe that the bands presented here are accurate at high temperature and
provide a good starting point to understand the myriad of complex behaviour
observed in this system.
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