The pursuit of exotic phases of matter outside of the extreme conditions of a quantizing
magnetic field is a long-standing quest of solid state physics. Recent experiments have …

Flatbands appear in many condensed matter systems, including the two-dimensional
electron gas in a high magnetic field, correlated materials, and moiré heterostructures. They …

We propose models of twisted multilayer graphene that exhibit exactly flat Bloch bands with
arbitrary Chern numbers and ideal band geometries. The models are constructed by twisting …

This paper presents a mathematical and numerical analysis of the flat-band wave functions
occurring in the chiral model of twisted bilayer graphene at the “magic” twist angles. We …

We show that topological flat minibands can be engineered in a class of narrow gap
semiconductor films using only an external electrostatic superlattice potential. We …

The half-filled lowest Landau level is a fascinating platform for researching interacting
topological phases. A celebrated example is the composite Fermi liquid, a non-Fermi liquid …

Fractional quantum Hall (FQH) system at Landau level filling fraction ν= 5/2 has long been
suggested to be non-Abelian, either Pfaffian (Pf) or antiPfaffian (APf) states by numerical …

Beyond the well-known topological band theory for single-particle systems, it is a great
challenge to characterize the topological nature of interacting multiparticle quantum …

We present a method for the exact construction of the fully particle-hole symmetric Pfaffian
(PH-Pfaffian) ground state and its charged excitations on a sphere. We adopt the Moore …

We propose a platform for flat Chern band by subjecting two-dimensional Dirac materials--
such as graphene and topological insulator thin films--to a periodic magnetic field, which …