Vortex lattice for a holographic superconductor

Kengo Maeda, Makoto Natsuume, Takashi Okamura
2010 Physical Review D  
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
more » ... ce 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.
doi:10.1103/physrevd.81.026002 fatcat:xzivuyiuxzcmrau4xadh46jjwq