Abstract
We investigate the vortex lattice solution in a (2+1)-dimensional holographic model of superconductors constructed from a charged scalar condensate. The solution is obtained perturbatively near the second-order phase transition and is a holographic realization of the Abrikosov lattice. Below a critical value of the magnetic field, the solution has a lower free energy than the normal state. Both the free-energy density and the superconducting current are expressed by nonlocal functions, but they reduce to the expressions in the Ginzburg-Landau theory at long wavelengths. As a result, a triangular lattice becomes the most favorable solution thermodynamically, as in the Ginzburg-Landau theory of type II superconductors.
| Original language | English |
|---|---|
| Article number | 026002 |
| Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |
| Volume | 81 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2010 Jan 7 |
ASJC Scopus subject areas
- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)
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Maeda, K., Natsuume, M., & Okamura, T. (2010). Vortex lattice for a holographic superconductor. Physical Review D - Particles, Fields, Gravitation and Cosmology, 81(2), [026002]. https://doi.org/10.1103/PhysRevD.81.026002