Electronic conductance in binomially tailored quantum wire

We have studied the electronic transmission properties through binomially tailored waveguide quantum wires with Dirac delta function potentials. The potential's strength is weighted according to the binomial distribution law. We have assumed that single free-electron channel is incident on the structure and the scattering of electrons is solely from the geometric nature of the problem. We have used the transfer matrix method to study the electron transmission. We found that this structure pattern allows us to have well-defined allowed conduction bands due to transmission resonance. We also found that the electronic conductance spectrum depends on the number of the Dirac delta function potential in the quantum wire. When the number of Dirac delta function potentials in the structure and their strengths are increased, both well-defined conductance bands and sharper and narrower forbidden bands are formed.