Journal
PHYSICAL REVIEW B
Volume 98, Issue 23, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.98.235158
Keywords
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Funding
- Fondecyt [1160239]
- SNSF by an Ambizione grant
- Perimeter Institute for Theoretical Physics
- government of Canada through the Department of Innovation, Science, and Economic Development
- province of Ontario through the Ministry of Research and Innovation
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We studied the real-space structure of states in twisted bilayer graphene at the magic angle theta = 1.08 degrees. The flat bands close to charge neutrality are composed of a mix of ring and center orbitals around the AA stacking region. An effective model with localized orbitals is constructed which necessarily includes more than just the four flat bands. Long-range Coulomb interaction causes a charge transfer at half filling of the flat bands from the center to the ring orbitals. Consequently, the Mott phase is a featureless spin-singlet paramagnet. We estimate the effective Heisenberg coupling that favors the singlet coupling to be J = 3.3 K, consistent with experimental values. The superconducting state depends on the nature of the dopants: hole-doping yields (p + ip)-wave, whereas electron-doping yields (d + id)-wave pairing symmetry.
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