We apply the recently developed dual fermion algorithm for disordered interacting systems to the Anderson-Hubbard model. This algorithm is compared with dynamical cluster approximation calculations for a one-dimensional system to establish the quality of the approximation in comparison with an established cluster method. We continue with a three-dimensional (3d) system and look at the antiferromagnetic, Mott and Anderson localization transitions. The dual fermion approach leads to quantitative as well as qualitative improvement of the dynamical mean-field results and it allows one to calculate the hysteresis in the double occupancy in 3d taking into account nonlocal correlations.
@article{arxiv.1604.08138,
title = {Dual-fermion approach to the Anderson-Hubbard model},
author = {P. Haase and S. -X. Yang and T. Pruschke and J. Moreno and M. Jarrell},
journal= {arXiv preprint arXiv:1604.08138},
year = {2017}
}