Moiré quantum matter has emerged as a materials platform in which correlated and
topological phases can be explored with unprecedented control. Among them, magic-angle …

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 …

Interactions among electrons create novel many-body quantum phases of matter with
wavefunctions that reflect electronic correlation effects, broken symmetries and collective …

Continuous phase transitions in equilibrium statistical mechanics were successfully
described 50 years ago with the development of the renormalization group framework. This …

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 …

In a recent experiment (Lin et al 2021 arxiv: 2112.07841 [cond-mat. str-el]), the
superconducting phase hosted by a heterostructure of mirror-symmetric twisted trilayer …

Topological solitons, a class of stable nonlinear excitations, appear in diverse domains as in
the Skyrme model of nuclear forces. Here, we argue that similar excitations play an …