https://doi.org/10.1007/s100510050723
Structure of the Hilbert-space of the infinite-dimensional Hubbard model
Institut für Physik, Universität Dortmund,
44221 Dortmund, Germany
Received:
22
June
1998
Published online: 15 April 1999
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 ∞-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 relationship 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 
accuracy.
PACS: 71.10.-w – Theories and models of many electron systems / 75.10.Jm – Quantized spin models
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1999
