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

Abstract
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.