The renormalization group plays an essential role in many areas of physics, both
conceptually and as a practical tool to determine the long-distance low-energy properties of …

Twisted van der Waals (vdW) quantum materials have emerged as a rapidly developing field
of two-dimensional (2D) semiconductors. These materials establish a new central research …

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 …

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 study superconductivity of twisted bilayer graphene with local and nonlocal attractive
interactions. We obtain the superfluid weight and Berezinskii-Kosterlitz-Thouless (BKT) …