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 …

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 …

Flat energy bands of model lattice Hamiltonians provide a key ingredient in designing
dispersionless wave excitations and have become a versatile platform to study various …

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 …

The mobility edge (ME) that marks the energy separating extended and localized states is a
most important concept in understanding the metal-insulator transition induced by …

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

Flat bands have band crossing points with other dispersive bands in many systems
including the canonical flat-band models in the Lieb and kagome lattices. Here we show that …

We prove that a suitable correlation between system parameters can trigger topological
phase transitions and flat bands in a multistrand Creutz ladder network when a staggered …

Photonic lattices have emerged as an ideal testbed for localizing light in space. Among
others, the most promising approach is based on flat band systems and their related …

In this work, we study the entanglement and topological properties of an extended flat-band
Creutz ladder by considering a compacted localized state (CLS). Based on the CLS picture …