Equivalence of Gutzwiller and slave-boson mean-field theories for multi-band Hubbard models

TL;DR

This paper proves the equivalence between the slave-boson and Gutzwiller mean-field theories for multi-band Hubbard models, clarifying their relationship and limitations at zero temperature.

Contribution

It establishes a formal equivalence between two prominent mean-field approaches for multi-band Hubbard models, enhancing theoretical understanding.

Findings

Slave-boson and Gutzwiller theories are equivalent at zero temperature.

The paper clarifies the relationship between objects in both theories.

Discusses limitations of both methods.

Abstract

We demonstrate that a recently introduced slave-boson mean-field theory is equivalent to our Gutzwiller theory for multi-band Hubbard models with general onsite interactions. We relate the different objects that appear in both approaches at zero temperature and discuss the limitations of both methods.