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Structure of the Hilbert-space of the infinite-dimensional Hubbard model

C. Gros·W. Wenzel
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Abstract

An iterative procedure for the explicit construction of the nontrivial subspace of all symmetry-adapted configurations with non-zero weight in the ground-state of the infinite-dimensional Hubbard model is developed on the basis of a symmetrized representation of the transition operators on a sequence of Bethe-Lattices of finite depth. The relation ship between these operators and the well known mapping of the infinite-dimensional Hubbard model onto an effective impurity problem coupled to a (self-consistent) bath on non-interacting electrons is given. As an application we calculate the properties of various Hubbard stars and give estimates for the half-filled Hubbard model with up to 0.1% accuracy.

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C. Gros, W. Wenzel. 1998-10-23. Structure of the Hilbert-space of the infinite-dimensional Hubbard model. https://doi.org/10.1007/s100510050723

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