  We address the origin of the recently discovered close correspondence between
the charge ordering wave vectors and the momentum-space separation between the
tips of the Fermi arcs seen in angle-resolved photoemission measurements in
underdoped high temperature superconducting cuprates. We calculate the Fermi
surface spectral weight for a charge density-wave model, assuming a Fermi
surface, charge ordering wave vectors and short correlation lengths similar to
those found experimentally. We show that the observation of wavevectors
spanning the tips of remnant Fermi surface sections signal Fermi surface
reconstruction by charge order, similar to archetypal charge density wave
materials, obviating the need to invoke pre-existing Fermi arcs as being
unstable to charge ordering. Our findings suggest that charge ordering plays a
central role in reconstructing the Fermi surface in underdoped cuprate
superconductors.
