Correlated phases and topological phase transition in twisted bilayer graphene at one quantum of magnetic flux
arxiv(2024)
摘要
When the perpendicular magnetic flux per unit cell in a crystal is equal to
the quantum of magnetic flux, Φ_0=h/e, we enter the 'Hofstadter regime'.
The large unit cell of moiré materials like magic-angle twisted bilayer
graphene (MATBG) allows the experimental study of this regime at feasible
values of the field of around 25 T. In this work, we report numerical
analysis of a tight-binding model for MATBG at one quantum of external magnetic
flux, including the long-range Coulomb and on-site Hubbard interaction. We
study the correlated states for dopings of -2,0 and 2 electrons per unit
cell at the mean-field level. We find competing insulators with Chern numbers
2 and 0 at positive doping, the stability of which is determined by the
dielectric screening, which opens up the possibility of observing a topological
phase transition in this system.
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