We present detailed benchmark ground-state calculations of the one- and two-dimensional Hubbard model utilizing the cluster extensions of the rotationally invariant slave-boson (RISB) mean-field theory and the density matrix embedding theory (DMET). Our analysis shows that the overall accuracy and the performance of these two methods are very similar. Furthermore, we propose a unified computational framework that allows us to implement both of these techniques on the same footing. This provides us with a new line of interpretation and paves the ways for developing systematically new generalizations of these complementary approaches.
@article{arxiv.1812.09820,
title = {Rotationally invariant slave-boson and density matrix embedding theory: A unified framework and a comparative study on the 1D and 2D Hubbard Model},
author = {Tsung-Han Lee and Thomas Ayral and Yong-Xin Yao and Nicola Lanata and Gabriel Kotliar},
journal= {arXiv preprint arXiv:1812.09820},
year = {2019}
}