  We analyze a model of two-leg Hubbard ladders weakly coupled by interladder
tunneling. At half filling a semimetallic state with small Fermi pockets is
induced beyond a threshold tunneling strength. The sign changes in the single
electron Green's function relevant for the Luttinger Sum Rule now take place at
surfaces with both zeroes and infinities with important consequences for the
interpretation of ARPES experiments. Residual interactions between electron and
hole-like quasi-particles cause a transition to long range order at low
temperatures. The theory can be extended to small doping leading to
superconducting order.
