Vortex Dynamics in the Mixed Phase of High-Temperature Superconductors

High-temperature superconductors are perhaps the best-known examples of layered superconductors with short coherence lengths. Thermal and disorder-induced fluctuations of the Abrikosov vortex lattice in external magnetic field become extremely important in such case, leading to an extended vortex liquid phase that eventually freezes into a vortex solid phase. We shall discuss recent theoretical studies of these interesting forms of vortex matter via duality analyses of the layered XY model with uniform frustration.