Dynamics of an electron in finite and infinite one dimensional systems in presence of electric field

TL;DR

This paper investigates the dynamical behavior of electrons in one-dimensional systems under electric fields, analyzing impurity effects and providing numerical and analytical insights into electron dynamics.

Contribution

It offers new numerical and analytical analysis of electron dynamics in finite and infinite 1D systems with electric fields and impurities, highlighting impurity strength effects.

Findings

Electric fields influence electron dynamics significantly.

Impurity strength affects electron localization.

Analytical and numerical methods complement each other.

Abstract

We study,numerically, the dynamical behavior of an electron in a two site nonlinear system driven by dc and ac electric field separately. We also study, numerically, the effect of electric field on single static impurity and antidimeric dynamical impurity in an infinite 1D chain to find the strength of the impurities. Analytical arguments for this system have also been given.