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

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

1998-10-23

arxiv.org/abs/cond-mat/9810318v1

Euro. Phys. J. B, Vol. 8, 569 1999

Physics

Condensed Matter

Strongly Correlated Electrons

accepted for publication in EJP B

Scientific paper

10.1007/s100510050723

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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