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 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 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 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 …

Superconductivity was recently discovered in rhombohedral trilayer graphene (RTG) in the
absence of a moiré potential. Superconductivity is observed proximate to a metallic state …

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 present an infinite density-matrix renormalization group (DMRG) study of an interacting
continuum model of twisted bilayer graphene (tBLG) near the magic angle. Because of the …

TBPLaS is an open-source software package for the accurate simulation of physical systems
with arbitrary geometry and dimensionality utilizing the tight-binding (TB) theory. It has an …

Moiré materials, and in particular twisted bilayer graphene (TBG), exhibit a range of
fascinating phenomena that emerge from the interplay of band topology and interactions …

Van der Waals (vdW) heterostructures provide a rich playground to engineer electronic,
spin, and optical properties of individual two-dimensional materials. We investigate the twist …