# Statistically-consistent Gutzwiller approach and its equivalence with the mean-field slave-boson method for correlated systems

@article{Jcedrak2010StatisticallyconsistentGA, title={Statistically-consistent Gutzwiller approach and its equivalence with the mean-field slave-boson method for correlated systems}, author={Jakub Jcedrak and Jan Kaczmarczyk and J{\'o}zef Spalek}, journal={arXiv: Strongly Correlated Electrons}, year={2010} }

We propose a new method of solving a class of mean-field (MF) models, which is based on the Maximum Entropy (MaxEnt) principle with additional constraints included. Next, we show equivalence of our method when applied to the Gutzwiller approximation (GA), with the mean-field slave-boson (SB) formalism (on the example of the single-band Hubbard model). This equivalence provides thus an alternative justification of the results obtained within the SB approach which, however, contains ad hoc… Expand

#### 3 Citations

Extended Hubbard model with renormalized Wannier wave functions in the correlated state III

- Physics
- 2013

We extend our previous approach [J. Kurzyk, W. Wójcik, J. Spalek, Eur. Phys. J. B 66, 385 (2008); J. Spałek, J. Kurzyk, R. Podsiadły, W. Wójcik, Eur. Phys. J. B 74, 63 (2010)] to modeling correlated… Expand

Asymptotic behavior of correlation functions of one-dimensional polar-molecules on optical lattices

- Physics
- 2019

We combine a slave-spin approach with a mean-field theory to develop an approximate theoretical scheme to study the charge (particle), spin, and, pairing correlation functions of fermionic polar… Expand

Properties of an almost localized Fermi liquid in an applied magnetic field revisited: a statistically consistent Gutzwiller approach.

- Physics, Medicine
- Journal of physics. Condensed matter : an Institute of Physics journal
- 2014

The Hubbard model in an applied magnetic field is discussed and the properties of neutral spin fermions within the so-called statistically consistent Gutzwiller approximation are analyzed and a metamagnetic-like behavior is also singled out in a non-half-filled band case. Expand

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