PHASE DIAGRAM OF VORTICES IN HIGH-T_c SUPERCONDUCTORS

The theory presented is based on a simple Hamiltonian for a vortex lattice in a weak impurity background which includes linear elasticity and plasticity, the latter in the form of integer valued fields accounting for defects. By using the variational approach of Mézard and Parisi established for random manifolds, we obtain the phase diagram including glass transition lines for superconductors with a melting line near H_c2 like YBCO and also for superconductors with a melting line in the deep H_c2 region like BSCCO.