Flat bands–single-particle energy bands–in tight-binding lattices, aka networks, have
attracted attention due to the presence of macroscopic degeneracies and their sensitivity to …

Square-root topology is a recently emerged subfield describing a class of insulators and
superconductors whose topological nature is only revealed upon squaring their …

The Aharonov-Bohm (AB) cage enables localized confinement with nondiffractive
propagation for arbitrary excitation. In this study, we introduce an anti-parity-time (anti-PT) …

We consider manifolds of tunable all-bands-flat (ABF) lattices in dimensions d= 1, 2,
parameterized by a manifold angle parameter θ. We study localization properties of …

A different type of topological phase dubbed topological inverse Anderson insulators is
proposed, which is characterized by the disorder-induced extended bulk states from the flat …

Square-root topology describes models whose topological properties can be revealed upon
squaring the Hamiltonian, which produces their respective parent topological insulators …

We demonstrate that a complete class of flat-band lattices with underlying commutative local
symmetries exhibit a locally fragmented Hilbert space. The equitable partition theorem …

Flat-band topologies and localizations in noninteracting systems are extensively studied in
different quantum and classical-wave systems. Recently, the exploration on the novel …

The duration of bidirectional transfer protocols in 1D topological models usually scales
exponentially with distance. In this work, we propose transfer protocols in multidomain SSH …

Flat band (FB) systems, featuring dispersionless energy bands, have garnered significant
interest due to their compact localized states (CLSs). However, a detailed account on how …