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

I review my recent progress and develop a geometrical approach in the quantum with light
as a guide, from the vector potential in classical physics, revealing that topological …

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 …

The rich phenomenology of twisted bilayer graphene (TBG) near the magic angle is
believed to arise from electron correlations in topological flat bands. An unbiased approach …

We present a framework for understanding the cascade transitions and the Landau level
degeneracies of twisted bilayer graphene. The Coulomb interaction projected onto narrow …

Integer and fractional Chern insulators have been extensively explored in correlated flat
band models. Recently, the prediction and experimental observation of fractional quantum …

Twisted bilayer graphene (TBG) is remarkable for its topological flat bands, which drive
strongly interacting physics at integer fillings, and its simple theoretical description facilitated …

As a milestone in the exploration of topological physics, Fermi arcs bridging Weyl points
have been extensively studied. Weyl points, as are Fermi arcs, are believed to be only stable …