The breakdown of the mean-field description of the Nagaoka phase

Details The breakdown of the mean-field description of the Nagaoka phase The breakdown of the mean-field description of the Nagaoka phase

2007-12-20

arxiv.org/abs/0712.3431v2

Physics

Condensed Matter

Strongly Correlated Electrons

10 pages, revised and extended version. To be published in Phys. Rev. B

Scientific paper

We discuss the relevance of the improved mean-field slave-fermion theory to describe the Nagaoka ($U=\infty$) limit of the Hubbard model. In this theory the crucial on-site constraint of no double electron occupancy is taken into account rigorously prior to the mean-field approximation. At one-loop approximation the effective mean-field action shows a long-range ferromagnetic order over the whole doping range. This indicates that the slave-fermion mean-field theory does not constitute an appropriate framework to describe the physics of the Nagaoka phase. We discuss the drawbacks of this mean-field theory and present some results on the derivation of a low-energy effective spin action to describe the Nagaoka phase beyond the mean-field approximation.

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