Flat-band systems have attracted considerable interest in different branches of physics in the
past decades, providing a flexible platform for studying fundamental phenomena associated …

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 …

The real space decimation method has been successfully applied over the years to
understand the critical phenomena as well as the nature of single particle excitations in …

We report the presence of multiple flat bands in a class of two-dimensional lattices formed by
Sierpinski gasket (SPG) fractal geometries as the basic unit cells. Solving the tight-binding …

Singular and nonsingular flat bands in a Sierpinski fractal‐like photonic lattice are reported.
It is demonstrated that the lowest two bands, being isolated and degenerate due to …

Disorder effects on topological materials in integer dimensions have been extensively
explored in recent years. However, its influence on topological systems in fractional …

We demonstrate that a flat-band state in a quasi-one-dimensional rhombic lattice is robust in
the presence of external drivings along the lattice axis. The lattice was formed by periodic …

Disordered materials with new optical properties are capturing the interest of the scientific
community due to the observation of innovative phenomena. We present the realization of …

For the first time, a photonic super‐honeycomb lattice (sHCL) is established experimentally
by use of a continuous‐wave laser writing technique, and thereby two distinct flatband line …

Tetragonal graphene (T-graphene) is a theoretically proposed dynamically stable, metallic
allotrope of graphene. In this theoretical investigation, a tight binding (TB) model is used to …