  The zero temperature vortex phase diagram for uniaxial anisotropic
superconductors placed in an external magnetic field tilted with respect to the
axis of anisotropy is studied for parameters typical of BSCCO and YBCO. The
exact Gibbs free energy in the London approximation, using a self-energy
expression with an anisotropic core cutoff, is minimized numerically, assuming
only that the equilibrium vortex state is a vortex-line-lattice with a single
vortex line per primitive unit cell. The numerical method is based on simulated
annealing and uses a fast convergent series to calculate the energy of
interaction between vortex lines. A phase diagram with three distinct phases is
reported and the phases are characterized in detail. New results for values of
the applied field close to the lower critical field are reported.
