Slave-rotor theory on magic-angle twisted bilayer graphene
arXiv:2002.11351 · doi:10.1103/PhysRevB.101.235140
Abstract
We investigate the correlated electrons in the magic-angle twisted bilayer graphene by using the slave-rotor mean-field theory. Owing to the extended figure of Wannier orbitals, we study the two-orbital cluster Hubbard model with spin-valley fourfold degeneracy, focusing around half filling of valence bands below the neutrality point. The theory predicts multiple Mott insulator phases at fractional fillings not only for integer charges per moir{é} site, and it demonstrates that long-range electron hopping is highly suppressed because multiple-charge excitations are induced. Furthermore, the Kekul{é} valence bond order is investigated and is found to extend the Mott insulator phases to occupy a finite doping region. Adjacent to Mott insulator phases, superconducting domes emerges by virtue of spin-valley fluctuations. This work has provided a primal understanding and interesting phenomena of the correlated system, and for its novel interaction the model might produce plenty of possibilities waiting to be explored.
arXiv comment12 pages, 7 figures
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- The Orbitally Selective Mott Phase in Electron Doped Twisted TMDs: A Possible Realization of the Kondo Lattice Model
- Correlated Insulating Phases in the Twisted Bilayer Graphene
- Scaling theory of intrinsic Kondo and Hund's rule interactions in magic-angle twisted bilayer graphene
- Band structure and optical response of Kekulé-modulated model
- Chiral spin liquid phase in an optical lattice at mean-field level