whereas fermionic systems get a logarithmic correction S / Llog2L for a onedimensional Fermi surface (with a prefactor proportional to its size), but seem to grow only sublogarithmically if the Fermi surface consists of points [93,94]. It should be emphasized that these properties of ground states are highly unusual: in the thermodynamic limit, a random state out of Hilbertspace will indeed show extensive entanglement entropy with probability 1.