Solving Schrödinger’s equation around a desired energy: Application to silicon quantum dots

Abstract

We present a simple, linear-in-size method that enables calculation of the eigensolutions of a Schrödinger equation in a desired energy window. We illustrate this method by studying the near-gap electronic structure of Si quantum dots with size up to Si1315H460(≊37 Å in diameter) using a plane wave pseudopotential representation.