The quantum dynamics of a charged particle in an infinite chain of single-state quantum wells, in tight-binding approximation and under the action of an arbitrary time-dependent external field is investigated. The connection between the Hamiltonian description of this model and the Hamiltonian of a discrete-charge mesoscopic quantum circuit is elucidated. Based on this connection, the persist...

The dynamic of a charged quantum particle in a system of arrays of quantum well in tight-binding model, under the effect an external field, in one and two dimension, is studied by algebraic approach. The persistent‎ (quantum confinement) and ‎transmission ‎(quantum teleportaion) probabilities of this quantum particle in terms of infinite-variable Bessel functions is calculated and the results i...

In this research, we have investigated the effect of increasing length on the electronic transport of an armchair graphene nano-ribbons with nitrogen atom impurity and without impurity. The semi-infinite, one-dimensional molecular systems are connected to two electrodes and the electron-electron interaction is ignored. The system is described by a simple tight binding model. All calculations ar...

In the present paper, we calculate the effect of disorder on the density of states and localization of eigenstates of zigzag and armchair nano-ribbons. Both Anderson disorder model and quantom percolation are considered. The eigenstates of the disordered hamiltonian is calculated in a tight–binding approximation and the localization of eigenstates are characterized using the inverse participati...