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 …

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 …

We investigate acoustic phonon transmission and thermal conductance in three dimensional
(3D) quasi-periodically stubbed waveguides according to the Fibonacci sequence. Results …

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 …

We demonstrate that an aperiodic array of certain quantum networks comprising magnetic
and nonmagnetic atoms can act as perfect spin filters for particles with arbitrary spin state …

In 2D materials, the dislocation is a common structural defect at finite temperatures as its
appearance reduces the free energy by rising entropy, whereas many clusters of atoms or …