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A self-consistent projection operator method for single-particle excitationsis developed. It describes the nonlocal correlations on the basis of aprojection technique to the retarded Green function and the off-diagonaleffective medium. The theory takes into account long-range intersitecorrelations making use of an incremental cluster expansion in the medium. Ageneralized self-consistent coherent potential is derived. It yields themomentum-dependent excitation spectra with high resolution. Numerical studiesfor the Hubbard model on a simple cubic lattice at half filling show that thetheory is applicable in a wide range of Coulomb interaction strength. Inparticular, it is found that the long-range antiferromagnetic correlations inthe strong interaction regime cause shadow bands in the low-energy region andsub-peaks of the Mott-Hubbard bands.

Full Self-Consistent Projection Operator Approach to Nonlocal Excitations in Solids