Correlated magnetoexcitons in semiconductor quantum dots at finite temperatur

TL;DR

This paper introduces a computational approach using Auxiliary-Field Monte Carlo to study correlated excitons in semiconductor quantum dots at finite temperatures, enabling precise many-body calculations beyond mean-field approximations.

Contribution

It develops a new computational framework combining Hartree-Fock and AFMC methods for accurate modeling of excitons in quantum dots at finite temperatures.

Findings

Preliminary results demonstrate the method's feasibility.

The approach captures correlations beyond mean-field.

Suitable for high-performance parallel computing.

Abstract

We describe computational methods for the theoretical study of explicit correlations beyond the mean field in excitons confined in semiconductor quantum dots in terms of the Auxiliary-Field Monte Carlo (AFMC) method. Using AFMC, the many-body problem is formulated as a Feynman path integral at finite temperatures and evaluated to numerical precision. This approach is ideally suited for implementation on high-performance parallel computers. Our strategy is to generate a set of mean-field states via the Hartree-Fock method for use as a basis for the AFMC calculations. We present preliminary results.