Most of 2D superconductors are type II, i.e., they penetrated by quantized vortices when exposed to out-of-plane magnetic fields. In presence a supercurrent, Lorentz-like force acts on the vortices, leading drift and dissipation. The current-induced vortex motion is impeded pinning at defects, enabling use generate high fields without Usually, strength decreases upon any pair-breaking. Here we ...

To minimize their electrostatic energy, insulating ferroelectric films tend to break up into nanoscale ``Kittel'' domains of opposite polarization that are separated by uncharged 180$^\circ$ domain walls. Here, I report on self-consistent solutions coupled Landau-Ginzburg-Devonshire and Schr\"odinger equations for an electron-doped thin film. The model is based LaAlO$_3$/SrTiO$_3$ interfaces in...

The Ginzburg}Landau model for the radiation "eld of a free-electron laser (FEL) was originally derived for a high-gain ampli"er (S.Y. Cai and A. Bhattacharjee, Phys. Rev. A 43 (1991) 6934). With a view to making precise comparisons with experimental data from the long-pulse FEL oscillator at the University of California at Santa Barbara (UCSB) (L.R. Elias, G. Ramian, J. Hu, A. Amir, Phys. Rev. ...

We consider a time-dependent Ginzburg-Landau equation for superconductors with a strictly complex relaxation parameter, and derive motion laws for the vortices in the case of a finite number of vortices in a bounded magnetic field. The motion laws correspond to the flux-flow Hall effect. As our main tool, we develop a quantitative Γstability result relating the Ginzburg-Landau energy to the ren...

The scale hierarchy of wavelets provides a natural frame for renormalization. Expanding the order parameter of the Landau-Ginzburg/Φ model in a basis of compact orthonormal wavelets explicitly exhibits the coupling between scales that leads to non-trivial behavior. The locality properties of Daubechies’ wavelets enable us to derive the qualitative renormalization flow of the Landau-Ginzburg mod...