We investigate the scaling properties of single flux lines in a random pinn
ing landscape consisting of splayed columnar defects. Such correlated defec
ts can be injected into type II superconductors by inducing nuclear fission
or via direct heavy ion irradiation. The result is often very efficient pi
nning of the vortices which gives, e.g., a strongly enhanced critical curre
nt. The wandering exponent zeta and the free energy exponent omega of a sin
gle flux line in such a disordered environment are obtained analytically fr
om scaling arguments combined with extreme-value statistics. In contrast to
the case of point disorder, where these exponents Lire universal, we find
a dependence of the exponents on details in the probability distribution of
the low lying energies of the columnar defects. The analytical results sho
w excellent agreement with numerical transfer matrix calculations in two an
d three dimensions.