Topological insulators and their intriguing edge states can be understood in a single-particle
picture and can as such be exhaustively classified. Interactions significantly complicate this …

The basic aspects of electrons in graphene (two-dimensional graphite) exposed to a strong
perpendicular magnetic field are reviewed. One of its most salient features is the relativistic …

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 …

Fractional Chern insulators realize the remarkable physics of the fractional quantum Hall
effect (FQHE) in crystalline systems with Chern bands. The lowest Landau level (LLL) is …

Wigner predicted that when the Coulomb interactions between electrons become much
stronger than their kinetic energy, electrons crystallize into a closely packed lattice. A variety …

We provide a universal tight bound on the energy gap of topological insulators by exploring
relationships between topology, quantum geometry, and optical absorption. Applications of …

Recent experiments on bilayer graphene twisted near the magic angle have observed
spontaneous integer quantum Hall states in the presence of an aligned hexagonal boron …

We obtain multiple exact results on the entanglement of the exact excited states of
nonintegrable models we introduced in Phys. Rev. B 98, 235155 (2018) 10.1103/PhysRevB …

Recent experimental studies unveiled highly unconventional phenomena in the
superconducting twisted bilayer graphene (TBG) with ultraflat bands, which cannot be …

Topology and electron interactions are two central themes in modern condensed matter
physics. Here, we propose graphene-based systems where both the band topology and …