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 |
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ASJC Scopus subject areas
- Nuclear and High Energy Physics
Cite this
Vortex lattice for a holographic superconductor. / Maeda, Kengo; Natsuume, Makoto; Okamura, Takashi.
In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 81, No. 2, 026002, 07.01.2010.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Vortex lattice for a holographic superconductor
AU - Maeda, Kengo
AU - Natsuume, Makoto
AU - Okamura, Takashi
PY - 2010/1/7
Y1 - 2010/1/7
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=77649196522&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=77649196522&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.81.026002
DO - 10.1103/PhysRevD.81.026002
M3 - Article
VL - 81
JO - Physical review D: Particles and fields
JF - Physical review D: Particles and fields
SN - 1550-7998
IS - 2
M1 - 026002
ER -