Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-10-23
Phys.Rev.D81:026002,2010
Physics
High Energy Physics
High Energy Physics - Theory
v2: minor changes, references added; 11 pages, 2 figures: version to appear in PRD
Scientific paper
10.1103/PhysRevD.81.026002
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 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 (GL) theory at long wavelength. As a result, a triangular lattice becomes the most favorable solution thermodynamically as in the GL theory of type II superconductors.
Maeda Kengo
Natsuume Makoto
Okamura Takashi
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