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 …

We investigate the fate of topological states on fractal lattices. Focusing on a spinless chiral
p-wave paired superconductor, we find that this model supports two qualitatively distinct …

We calculate the Hall conductivity of a Sierpiński carpet using Kubo-Bastin formula. The
quantization of Hall conductivity disappears when we increase the depth of the fractal, and …

Using the Sierpiński carpet and gasket, we investigate whether fractal lattices embedded in
two-dimensional space can support topological phases when subjected to a homogeneous …

Here, we investigate the fractal-lattice Hubbard model using various numerical methods:
exact diagonalization, the self-consistent diagonalization of a (mean-field) Hartree-Fock …

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 …

We experimentally realize fractal-like photonic lattices by use of the cw-laser-writing
technique, thereby observing distinct compact localized states (CLSs) associated with …

Certain lattices with specific geometries have one or more spectral bands that are strictly flat,
ie, the electron energy is independent of the momentum. This can occur robustly irrespective …

We study two models of correlated bond and site disorder on the kagome lattice considering
both translationally invariant and completely disordered systems. The models are shown to …

We present the appearance of nearly flat-band states with nonzero Chern numbers in a two-
dimensional “diamond-octagon” lattice model comprising two kinds of elementary plaquette …