We develop a method for calculating the fundamental electronic gap of semiconductors and insulators using grand canonical Quantum Monte Carlo simulations. We discuss the origin of the bias introduced by supercell calculations of finite size and show how to correct the leading and subleading finite size errors either based on observables accessible in the finite-sized simulations or from DFT calculations. Our procedure is applied to solid molecular hydrogen and compared to experiment for carbon and silicon crystals.
@article{arxiv.1910.07531,
title = {Electronic band gaps from Quantum Monte Carlo methods},
author = {Yubo Yang and Vitaly Gorelov and Carlo Pierleoni and David M. Ceperley and Markus Holzmann},
journal= {arXiv preprint arXiv:1910.07531},
year = {2020}
}