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 …

Flat band systems are currently under intense investigation in quantum materials, optical
lattices, and metamaterials. These efforts are motivated by potential realization of strongly …

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 theoretically investigate the topological properties of a dimerized quasi-one-dimensional
(1D) lattice comprised of multilegs (L) as well as multisublattices (R). The system has main …

We clarify the interplay and competition between disorder and flat band in the Creutz ladder
with interparticle interactions focusing on the system's dynamics. Without disorder, the …

We find that a flat-band fermion system with interactions and without disorders exhibits
nonthermalized ergodicity-breaking dynamics, an analog of many-body localization (MBL) …

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 …

We have investigated a periodically driven Creutz ladder in the presence of two different
driving protocols, namely, a sinusoidal drive and a δ kick imparted to the ladder at regular …

We propose a quasi-one-dimensional non-Hermitian Creutz ladder with an entirely flat
spectrum by introducing alternating gain and loss components while maintaining inversion …