Atomtronics deals with matter-wave circuits of ultracold atoms manipulated through
magnetic or laser-generated guides with different shapes and intensities. In this way, new …

In a flat Bloch band, the kinetic energy is quenched and single particles cannot propagate
since they are localized due to destructive interference. Whether this remains true in the …

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) …

The discovery of artificial gauge fields controlling the dynamics of uncharged particles that
otherwise elude the influence of standard electromagnetic fields has revolutionised the field …

We propose a realization of a two-dimensional higher-order topological insulator with
ultracold atoms loaded into orbital angular momentum (OAM) states of an optical lattice. The …

In this paper, we show that the introduction of long-range hoppings in one-dimensional
topological insulator models implies that different possibilities of site indexing must be …

In flat-band systems, destructive interference leads to the localization of noninteracting
particles and forbids their motion through the lattice. However, in the presence of …

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 …