The Ginzburg-Landau theory in application
arXiv:1006.1771 · doi:10.1016/j.physc.2010.02.056
Abstract
A numerical approach to Ginzburg-Landau (GL) theory is demonstrated and we review its applications to several examples of current interest in the research on superconductivity. This analysis also shows the applicability of the two-dimensional approach to thin superconductors and the re-defined effective GL parameter kappa. For two-gap superconductors, the conveniently written GL equations directly show that the magnetic behavior of the sample depends not just on the GL parameter of two bands, but also on the ratio of respective coherence lengths.
To be published in Physica C, VORTEX VI Conference Proceedings
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- Observation of a gel of quantum vortices in a superconductor at very low magnetic fields
- Dynamics and heat diffusion of Abrikosov's vortex-antivortex pairs during an annihilation process
- Josephson effect at finite temperature along the BCS-BEC crossover
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- The importance of thermal gradients on the vortex dynamics and magnetic behavior of mesoscopic superconducting samples
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- Amplitude, phase, and topological fluctuations shaping the complex phase diagram of two-dimensional superconductors
- Reliability of the Ginzburg-Landau Theory in the BCS-BEC Crossover by Including Gaussian Fluctuations for 3D Attractive Fermions