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 …

The discovery of the quantum spin Hall effect and topological insulators more than a decade
ago has revolutionized modern condensed matter physics. Today, the field of topological …

We propose magic-angle helical trilayer graphene (HTG), a helical structure featuring
identical rotation angles between three consecutive layers of graphene, as a unique and …

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 …

Flat bands (FBs) can appear in two‐dimensional (2D) geometrically frustrated systems
caused by quantum destructive interference (QDI). However, the scarcity of pure 2D …

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 …

We show that bilayer graphene in the presence of a 2D superlattice potential provides a
highly tunable setup that can realize a variety of flat band phenomena. We focus on two …

The Laser Interferometer Space Antenna (LISA) mission, scheduled for launch in the early
2030s, is a gravitational wave observatory in space designed to detect sources emitting in …

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 …

We present a pedagogical review of the physics of fractional Chern insulators with a
particular focus on the connection to the fractional quantum Hall effect. While the latter …