Abstract
We study a generalized Hubbard Hamiltonian which is closed within the framework of a quantum real-space renormalization group, which replaces the d-dimensional hypercubic lattice by a diamondlike lattice. The phase diagram of the generalized Hubbard Hamiltonian is analyzed for the half-filled-band case for d=2 and d=3. Some evidence for superconductivity is presented.
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