Interação elétron-fônon em cadeias cristalinas

Abstract

A very important problem in condensed matter physics is the phenomenon of electronic transport. The phenomenon of transport refers to the systematic and unified study of the transfer of momentum, energy and matter. Many other studies have focused in this phenomenon, however there are still open questions. In this work we analyze this phenomenon introducing an interaction between electrons and phonons to try to answer some of them. We will use the approach of considering phonons as harmonic oscillators of N ions distributed in the solid and consider the electron-phonon interaction as the energy related to electron-ion dipole formed. The dynamics of the system was was implemented using a eighth order runge-kutta, the electronic wave function was modeled by tight binding aiming to observe the metal-insulator transition through self-trapping.