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 …

Quantum geometry is a fundamental concept to characterize the local properties of quantum
states. It is recently demonstrated that saturating certain quantum geometric bounds allows a …

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 low-energy physics of fractional quantum Hall (FQH) states—a paradigm of strongly
correlated topological phases of matter—to a large extent is captured by weakly interacting …

We study, numerically, the charge neutral excitations (magnetorotons) in fractional quantum
Hall systems, concentrating on the two Jain states near quarter filling, ν= 2/7 and ν= 2/9, and …

We reconsider the composite fermion theory of general Jain sequences with filling factor ν=
N/(4 N±1). We show that Goldman and Fradkin's proposal of a Dirac composite fermion …

Motivated by the appearance of a “reflection symmetry” in transport experiments and the
absence of statistical periodicity in relativistic quantum field theories, we propose a series of …