Magic-angle (θ= 1.0 5°) twisted bilayer graphene (MATBG) has shown two seemingly
contradictory characters: the localization and quantum-dot-like behavior in STM …

We derive the exact insulator ground states of the projected Hamiltonian of magic-angle
twisted bilayer graphene (TBG) flat bands with Coulomb interactions in various limits, and …

We derive the explicit Hamiltonian of twisted bilayer graphene (TBG) with Coulomb
interaction projected into the flat bands and study the symmetries of the Hamiltonian. First …

We apply a generalized Schrieffer-Wolff transformation to the extended Anderson-like
topological heavy fermion (THF) model for the magic-angle (θ= 1.0 5°) twisted bilayer …

We find exact analytic expressions for the energies and wave functions of the charged and
neutral excitations above the exact ground states (at rational filling per unit cell) of projected …

Using exact diagonalization, we study the projected Hamiltonian with the Coulomb
interaction in the eight flat bands of first magic angle twisted bilayer graphene. Employing …

We show that the entire continuous model of twisted bilayer graphene (TBG)(and not just the
two active bands) with particle-hole symmetry is anomalous and hence incompatible with …

We investigate the twisted bilayer graphene (TBG) model of Bistritzer and MacDonald
(BM)[Bistritzer and MacDonald, Proc. Natl. Acad. Sci. 108, 12233 (2011) PNASA6 0027 …

We use the topological heavy fermion (THF) model and its Kondo lattice (KL) formulation to
study the possibility of a symmetric Kondo (SK) state in twisted bilayer graphene. Via a large …

The interplay of dynamical correlations and electronic ordering is pivotal in shaping phase
diagrams of correlated quantum materials. In magic-angle twisted bilayer graphene …