A phenomenological lattice theory of Ginzburg-Landau type is presented
in which the order parameter is defined on the points of a discrete l
attice only. For a straight flux line perpendicular to the c-axis situ
ated directly on and halfway between the CuO-double layers of YBa2Cu3O
7-delta, the order parameter near the vortex core is calculated. The t
otal line energy at these two positions is evaluated for lattice param
eters ranging from the continuum limit to very small values of the coh
erence length. The position-dependent lattice-periodic part of the fre
e energy, the so-called Peierls potential for a straight flux line, is
determined. The critical current densities associated with this intri
nsic pinning potential are found to have the same order of magnitude a
s those measured in epitaxial films of YBa2Cu3O7-delta.