Vortex lattice for a holographic superconductor

被引:105
作者
Maeda, Kengo [1 ]
Natsuume, Makoto [2 ]
Okamura, Takashi [3 ]
机构
[1] Shibaura Inst Technol, Fac Engn, Saitama 3308570, Japan
[2] High Energy Accelerator Res Org, KEK Theory Ctr, Inst Particle & Nucl Studies, Tsukuba, Ibaraki 3050801, Japan
[3] Kwansei Gakuin Univ, Dept Phys, Sanda 6691337, Japan
来源
PHYSICAL REVIEW D | 2010年 / 81卷 / 02期
关键词
D O I
10.1103/PhysRevD.81.026002
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
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.
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页数:10
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