# Rotationally invariant slave-boson and density matrix embedding theory: A unified framework and a comparative study on the 1D and 2D Hubbard Model

## TL;DR

This paper compares the accuracy of RISB and DMET methods for the 1D and 2D Hubbard models, introduces a unified framework for both, and discusses potential for future generalizations.

## Contribution

It provides a unified computational framework for RISB and DMET, enabling direct comparison and new insights into their similarities and differences.

## Key findings

- RISB and DMET have similar accuracy and performance
- Unified framework allows consistent implementation of both methods
- Facilitates development of generalized approaches

## Abstract

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.