Strongly correlated systems can give rise to spectacular phenomenology, from high-
temperature superconductivity to the emergence of states of matter characterized by long …

Moiré graphene systems have attracted considerable attention in the past 3 years because
they exhibit exotic phenomena including correlated insulating states, unconventional …

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 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 …

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 …

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 study magic angle graphene in the presence of both strain and particle-hole symmetry
breaking due to nonlocal interlayer tunneling. We perform a self-consistent Hartree-Fock …

We develop a two stage renormalization group which connects the continuum Hamiltonian
for twisted bilayer graphene at length scales shorter than the moire superlattice period to the …