Difference between the quasiparticle and the Kohn-Sham-Fermi surfaces

The question addressed is whether the Fermi surface calculated from the exact density-functional one-electron eigenvalues coincides with the ``quasiparticle Fermi surface'' calculated from the self-energy {Σ}(k,{μ}), where {μ} is the chemical potential. For the case of density-functional theory on a lattice this is shown not to be the case.