We present a detailed study of a generalised one-dimensional Kronig–Penney model using
δ-δ'δ-δ′ potentials. We analyse the band structure and the density of states in two …

We describe how to engineer wave-function delocalization in disordered systems modeled
by tight-binding Hamiltonians in d> 1 dimensions. We show analytically that a simple …

We study the nature of one-electron eigen-states in a one-dimensional diluted Anderson
model where every Anderson impurity is diluted by a periodic function f (l). Using …

A complete band structure is shown to exist for one-dimensional periodic non-Hermitian
potentials exhibiting PT-symmetry. The full band spectrum is exactly given and some of its …

The transfer matrix formalism is implemented in the form of the multiple collision technique to
account for dissipative transmission processes by using complex potentials in several …

A real band condition is shown to exist for one-dimensional periodic complex non-Hermitian
potentials exhibiting Script P Script T-symmetry. We use an exactly solvable ultralocal …

The one-loop quantum corrections to the internal energy of lattices due to the quantum
fluctuations of the scalar field of phonons are studied. The band spectrum of the lattice is …

We study the electronic properties of a one-dimensional disordered chain made up of
Pöschl-Teller potentials. The features of the whole spectrum of the random chain in the …

In this work we describe, compile and generalize a set of tools that can be used to analyse
the electronic properties (distribution of states, nature of states, etc) of one-dimensional …

We theoretically investigate the character of electronic eigenstates and transmission
properties of a one-dimensional array of stubs with Cantor geometry. Within the framework …