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 …

We propose a framework for the connection between local symmetries of discrete
Hamiltonians and the design of compact localized states. Such compact localized states are …

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 …

An infinitely large Koch fractal is shown to be capable of sustaining only extended, Bloch-
like eigenstates if certain parameters of the Hamiltonian describing the lattice are …

We have recently proposed a one-dimensional nonperiodic chain with lattice positions at 0 2
d, 1 2 d, 2 2 d,... with length da constant. The spectrum is singular-continuous, and for weak …

Structural defects are inherent in solids at a finite temperature, because they diminish free
energies by growing entropy. The arrangement of these defects may display long-range …

Understanding the metal-insulator transition in disordered many-fermion systems, both with
and without interactions, is one of the most challenging and consequential problems in …

We study quantum dynamics of a wave packet on a class of one dimensional decorated
aperiodic lattices, described within a tight binding formalism. We look for the possibility of …

It is shown that an entire class of off-diagonally disordered linear lattices composed of two
basic building blocks and described within a tight-binding model can be tailored to generate …

The prominent distinction between order and disorder in optics has been understood in
terms of the spatial spreading of waves. In the Anderson picture of optical disorder, light …