A meshless method of line radial base function study of Gaussian wave packet broadening in few semiconducting mediums: electron–electron interaction effects

Abstract

In this paper, we have studied the effect of electron–electron interaction on wave packet broadening in different semiconducting mediums in the presence of conduction band non-parabolicity. We have solved the resulting one dimensional fourth order Schrodinger equation by means of a meshless radial base function approach and 2nd order Runge Kutta method. We have compared different semiconducting mediums GaAs, GaN, AlN, InSb and GaSb and showed that in the absence of the electron–electron interaction, the Gaussian wave packet decays with time elapse while in the presence of the electron–electron interaction, the Gaussian wave packet localizes when time increases. Finally, Gaussian wave packet also localizes faster when we increase the electron–electron interaction strength.