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 …

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 …

Sinusoidal Bloch oscillations appear in band structures exposed to external fields. Landau-
Zener (LZ) tunneling between different bands is usually a counteracting effect limiting Bloch …

Certain tight binding lattices host macroscopically degenerate flat spectral bands. Their
origin is rooted in local symmetries of the lattice, with destructive interference leading to the …

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 …

The flat band system is an ideal quantum platform to investigate the kaleidoscope created by
the electron–electron correlation effects. The central ingredient of realizing a flat band is to …

We consider a model for a cross-stitch lattice with onsite nonlinearity. The linear analysis
and the determination of the homoclinic threshold for this model are carried out theoretically …

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 …

As an emerging complex two-dimensional structure, plane fractal has attracted much
attention due to its novel dimension-related physical properties. In this paper, we check the …