GLASS PHASES AND MELTING OF FLUX LATTICES IN LAYERED SUPERCONDUCTORS

vortex lattice with dislocations generated by thermal fluctuations and by disorder is studied. The dislocations are restricted to parallel e dge dislocations which applies, e.g., to magnetic field parallel to th e superconducting layers. We allow for two types of disorder: point di sorder with Fourier component comparable to the flux periodicity, and long wavelength disorder. It is known that point disorder leads to a 3 -dimensional (3D) Bragg glass phase with algebraic correlations and a 3D to 2D transition. By using replica symmetry breaking methods, we fi nd a new relevant term in the free energy which allows the long wavele ngth disorder to have significant effects on the phase diagram. First, it produces a first order transition within the 3D glass phase and se cond, in the absence of point disorder it allows for a glass phase wit h long range order. Furthermore, we find that the long wavelength diso rder leads by itself to a continous 3D to 2D transition.