A Unified Theory of Dynamical Mean Field and Spin Fluctuations

Details A Unified Theory of Dynamical Mean Field and Spin Fluctuations A Unified Theory of Dynamical Mean Field and Spin Fluctuations

1999-07-23

arxiv.org/abs/cond-mat/9907354v2

Physics

Condensed Matter

Strongly Correlated Electrons

8 pages, 14 figures

Scientific paper

10.1143/JPSJ.68.3941

A new approach is proposed which encompasses the dynamical mean field theory (DMFT) for strongly correlated electron systems and the self-consistent renormalization (SCR) theory of spin fluctuations. The latter is incorporated into DMFT as a $O(1/d)$ correction, where $d$ is the spatial dimensionality, but in a phenomenological way. The DMFT is completely recovered when the effect of spin fluctuation is omitted, whereas the properties at the quantum critical point (QCP) is the same as the SCR theory. An example of calculation is presented for the single band Hubbard model and the non-Fermi liquid behavior is demonstrated at QCP.

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