Linear scaling calculation of a n-type GaAs quantum dot

TL;DR

This paper introduces a linear scaling computational method using Chebyshev polynomial expansion and time-dependent techniques to efficiently calculate electronic properties of large n-type GaAs quantum dots.

Contribution

The paper presents a novel linear scaling approach combining Chebyshev expansion and time-dependent methods for quantum dot electronic structure calculations.

Findings

Efficient calculation of electronic properties for large quantum systems

Validation of the method on a model n-type GaAs quantum dot

Potential for application to complex nanostructures

Abstract

A linear scale method for calculating electronic properties of large and complex systems is introduced within a local density approximation. The method is based on the Chebyshev polynomial expansion and the time-dependent method, which is tested in calculating the electronic structure of a model n-type GaAs quantum dot.