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 …

The Fibonacci chain, ie a tight-binding model where couplings and/or on-site potentials can
take only two different values distributed according to the Fibonacci word, is a classical …

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 show that a discrete tight-binding model representing either a random or a quasiperiodic
array of bonds can have the entire energy spectrum or a substantial part of it absolutely …

We design spin filters for particles with potentially arbitrary spin $ S\left (= 1/2, 1,
3/2,\ldots\right) $ using a one-dimensional periodic chain of magnetic atoms as a quantum …

We propose a simple model quantum network consisting of diamond-shaped plaquettes
with deterministic distribution of magnetic and non-magnetic atoms in presence of a uniform …

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 …

We show that a quasiperiodic magnetic chain comprising magnetic atomic sites sequenced
in a Fibonacci pattern can act as a prospective candidate for spin filters for particles with …