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 study the excitations that emerge upon doping the translationally invariant correlated
insulating states in magic-angle twisted bilayer graphene at various integer filling factors ν …

We uncover topological features of neutral particle-hole pair excitations of correlated
quantum anomalous Hall (QAH) insulators whose approximately flat conduction and …

Band geometry plays a substantial role in topological lattice models. The Berry curvature,
which resembles the effect of magnetic field in reciprocal space, usually fluctuates …

We predict twisted double bilayer graphene to be a versatile platform for the realization of
fractional Chern insulators readily targeted by tuning the gate potential and the twist angle …

An experiment in moir\'e MoTe $ _2 $ bilayers reported the first observation of a
topologically ordered state with zero Hall conductivity and half of the edge conductance of a …

Flat-band systems are a promising platform for realizing exotic collective ground states with
spontaneously broken symmetry because the electron-electron interactions dominate over …

We consider magic-angle twisted bilayer graphene at filling ν=+ 3, where experiments have
observed a robust quantized anomalous Hall effect. This has been attributed to the formation …

Strong interactions between electrons occupying bands of opposite (or like) topological
quantum numbers (Chern $=\pm1 $), and with flat dispersion, are studied by using lowest …

We study quantum phase transitions in Bose-Fermi mixtures driven by interspecies
interaction in the quantum Hall regime. In the absence of such an interaction, the bosons …