Ginzburg-Landau Approach to Holographic Superconductivity
arXiv:1311.5821 · doi:10.1007/JHEP12(2014)137
Abstract
We construct a family of minimal phenomenological models for holographic superconductors in d=4+1 AdS spacetime and study the effect of scalar and gauge field fluctuations. By making a Ginzburg-Landau interpretation of the dual field theory, we determine through holographic techniques a phenomenological Ginzburg-Landau Lagrangian and the temperature dependence of physical quantities in the superconducting phase. We obtain insight on the behaviour of the Ginzburg-Landau parameter and whether the systems behaves as a Type I or Type II superconductor. Finally, we apply a constant external magnetic field in a perturbative approach following previous work by D'Hoker and Kraus, and obtain droplet solutions which signal the appearance of the Meissner effect.
41 pages, 31 figures, calculations added
References in corpus (8)
- Holographic model of superfluidity
- Superconductors from Superstrings
- A Holographic Superconductor in an External Magnetic Field
- Vortices in holographic superfluids and superconductors as conformal defects
- Characteristic length of an AdS/CFT superconductor
- d-Wave holographic superconductors with backreaction in external magnetic fields
- Chern-Simons Superconductor
- The Ginzburg-Landau Theory of a Holographic Superconductor