Structure of the Hilbert-space of the infinite-dimensional Hubbard model
نویسندگان
چکیده
An iterative procedure for the explicit construction of the nontrivial subspace of all symmetryadapted configurations with non-zero weight in the ground-state of the ∞-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 ∞-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. PACS. 71.10.-w Theories and models of many electron systems – 75.10.Jm Quantized spin models
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