Tracking incommensurate magnetism with Slave Boson Mean Field Theory*

Accounting for strong correlations is one of the most challenging problems in solid state physics,
and has given rise to the development of a plethora of different methodological approaches. Among them, the slave boson mean field formalism has been shown to successfully describe strongly correlated electron systems such as heavy fermion physics and quantum impurity models. While DMFT is another popular method of use within the scope of these systems, the slave boson mean field method can be applied to problems beyond the reach of DMFT, and such provide an interesting complementary view. In particular, this applies
to models with large Hilbert spaces, and especially the investigation of incommensurate magnetic order where the magnetic unit cell would be too large to describe it within any cluster DMFT framework. Therefore, slave boson mean field is well suited to fill a niche in contemporary methods of condensed matter physics. This talk intends to elaborate on the method of spin rotation invariant slave boson mean
field theory including fluctuations around the saddle point, and its applications to the periodic Anderson model.