Equation of motion approach to the Hubbard model in infinite dimensions

Details Equation of motion approach to the Hubbard model in infinite dimensions Equation of motion approach to the Hubbard model in infinite dimensions

1994-03-08

arxiv.org/abs/cond-mat/9403030v1

Physics

Condensed Matter

10pager, REVTEX, 8-figures not available in postscript, manuscript may be understood without figures

Scientific paper

10.1103/PhysRevB.50.7295

We consider the Hubbard model on the infinite-dimensional Bethe lattice and construct a systematic series of self-consistent approximations to the one-particle Green's function, $G^{(n)}(\omega),\ n=2,3,\dots\ $ . The first $n-1$ equations of motion are exactly fullfilled by $G^{(n)}(\omega)$ and the $n$'th equation of motion is decoupled following a simple set of decoupling rules. $G^{(2)}(\omega)$ corresponds to the Hubbard-III approximation. We present analytic and numerical results for the Mott-Hubbard transition at half filling for $n=2,3,4$.

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