Topological materials have become the focus of intense research in recent years, since they
exhibit fundamentally new physical phenomena with potential applications for novel devices …

Time-periodic forcing in the form of coherent radiation is a standard tool for the coherent
manipulation of small quantum systems like single atoms. In the last years, periodic driving …

The interplay between spontaneous symmetry breaking and topology can result in exotic
quantum states of matter. A celebrated example is the quantum anomalous Hall (QAH) state …

Abstract Fractional Chern insulators (FCIs) are lattice analogues of fractional quantum Hall
states that may provide a new avenue towards manipulating non-Abelian excitations. Early …

A recent experiment has reported the first observation of a zero-field fractional Chern
insulator (FCI) phase in twisted bilayer MoTe 2 moiré superlattices [J. Cai, Signatures of …

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 …

Studies of two-dimensional electron systems in a strong magnetic field revealed the
quantum Hall effect, a topological state of matter featuring a finite Chern number C and …

Recent experiments on rhombohedral pentalayer graphene with a substrate-induced moiré
potential have identified both Chern insulators and fractional quantum Hall states at zero …

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 …

Certain lattice wave systems in translationally invariant settings have one or more spectral
bands that are strictly flat or independent of momentum in the tight binding approximation …