Solving Schrouml;dingerrsquo;s equation around a desired energy: Application to silicon quantum dots

摘要

We present a simple, linearhyphen;inhyphen;size method that enables calculation of the eigensolutions of a Schrouml;dinger equation in a desired energy window. We illustrate this method by studying the nearhyphen;gap electronic structure of Si quantum dots with size up to Si1315H460(ape;37 Aring; in diameter) using a plane wave pseudopotential representation.