Abstract
The Kondo lattice has been investigated in the case that the Kondo exchange dominates the kinetic energy and for vanishing exchange between localized spins. Without kinetic energy, the problem can be solved exactly, leading to local singlet states. The kinetic energy leads to a broadening of these states into a band which has been calculated by projecting the hopping term onto the singlet states. The statistics of the singlet states is completely different from the usual free fermion case, leading to a reduced spectral weight of that band by a factor between four (for small filling of the singlet band) and two (for large filling). The changed spectral weight also leads to a different filling of the singlet band in comparison with free fermions.
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