Superconductivity has been observed in moiré systems such as twisted bilayer graphene,
which host flat, dispersionless electronic bands. In parallel, theory work has discovered that …

Flat-band materials such as the kagome metals or moiré superlattices are of intense current
interest. Flat bands can result from the electron motion on numerous (special) lattices and …

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 …

Graphene moiré superlattices show an abundance of correlated insulating, topological, and
superconducting phases. Whereas the origins of strong correlations and nontrivial topology …

Magic-angle twisted trilayer graphene (MATTG) exhibits a range of strongly correlated
electronic phases that spontaneously break its underlying symmetries,. Here we investigate …

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 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 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 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 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 …