Exotic phases of matter can emerge from the interplay between strong electron interactions
and non-trivial topology. Materials that have non-dispersing bands in their electronic band …

We show that a quantum scar state, an atypical eigenstate breaking eigenstate
thermalization hypothesis embedded in a many-body energy spectrum, can be constructed …

Square-root topological insulators are recently proposed intriguing topological insulators,
where the topologically nontrivial nature of Bloch wave functions is inherited from the square …

In this work, we develop a systematic method of constructing flat-band models with and
without band crossings. Our construction scheme utilizes the symmetry and spatial shape of …

Being dispersionless, flat bands on periodic lattices are solely characterized by their
macroscopically degenerate eigenstates: compact localized states (CLSs) in real space and …

Quantum many-body scars (QMBSs) appear in a flat-band model with interactions on the
sawtooth lattice. The flat-band model includes localized eigenstates within compact support …

Flat bands have band crossing points with other dispersive bands in many systems
including the canonical flat-band models in the Lieb and kagome lattices. Here we show that …

We study characteristic band structures of the fermions on a square kagome lattice, one of
the two-dimensional lattices hosting a corner-sharing network of triangles. We show that the …

Chiral symmetry plays an indispensable role in topological classifications as well as in the
understanding of the origin of bulk or boundary flat bands. The conventional definition of …

In this work, we study the entanglement and topological properties of an extended flat-band
Creutz ladder by considering a compacted localized state (CLS). Based on the CLS picture …