Spectral Properties of High-T$_c$ Cuprates via a Cluster-Perturbation Approach

Abstract

Angular-resolved photoemission data on half-filled doped cuprate materials are compared with an exact-diagonalization analysis of the three-band Hubbard model, which is extended to the infinite lattice by means of a perturbation in the intercluster hopping (cluster perturbation theory). A study of the band dispersion and spectral weight of the insulating cuprate Sr$_2$CuO$_2$Cl$_2$ allows us to fix a consistent parameter set, which turns out to be appropriate at finite dopings as well. In the overdoped regime, our results for the spectral weight and for the Fermi surface give a good description of the experimental data on Bi$_2$Sr$_2$CaCu$_2$O$_{8+δ}$. In particular, the Fermi surface is hole-like and centered around $k=(π,π)$. Finally, we introduce a hopping between two layers and address the issue of bilayer splitting.