Equation of motion approach to the Hubbard model in infinite dimensions

Abstract

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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References in corpus (1)

• The Hubbard Model at Infinite Dimensions: Thermodynamic and Transport Properties

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