Abstract
We consider a generalised Hubbard Hamiltonian which is invariant under a Real Space Renormalisation Group. Within the present approximation, the Bravais lattice is replaced by a diamond-like hierarchical lattice. We calculate the phase diagram associated with the half-filled band Hubbard Hamiltonian in d = 1, 2 and 3, in the full range of the dimensionless intra-atomic interaction U and hopping t parameters. The influence of the hierarchical lattice fractality is analysed as well.
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