Theory of vortex-lattice melting in a one-dimensional optical lattice

Two-dimensional vortex lattice melting.

We report on a Monte-Carlo study of two-dimensional Ginzburg-Landau superconductors in a magnetic field which finds clear evidence for a firstorder phase transition characterized by broken translational symmetry of the superfluid density. A key aspect of our study is the introduction of a quantity proportional to the Fourier transform of the superfluid density which can be sampled efficiently i...

Self-consistent theory of dynamic melting of a vortex lattice

The dynamic melting of vortex lattices in type II superconductors is considered. A field-theoretic formulation of the pinning problem allows a nonperturbative treatment of the influence of quenched disorder. A self-consistent theory is constructed using the diagrammatic functional method for the effective action, allowing a determination of the pinning force and the vortex fluctuations. The obt...

Why Vortex Lattice Melting Theory is Science Fiction

The distinguished work by A.A. Abrikosov awarded of the Nobel Prize in Physics for 2003 not only has determined the orientation of all investigations of the mixed state of type II superconductors during forty years but also has provoked a mass delusion. Most scientists consider the Abrikosov state first of all as a vortex lattice. But Abrikosov has found a periodic lattice structure with crysta...

Fundamental and vortex solitons in a two-dimensional optical lattice.

Fundamental and vortex solitons in a two-dimensional optically induced waveguide array are reported. In the strong localization regime the fundamental soliton is largely confined to one lattice site, whereas the vortex state comprises four fundamental modes superimposed in a square configuration with a phase structure that is topologically equivalent to the conventional vortex. However, in the ...

NMR and Vortex Lattice Melting in YBa2Cu3O7