Vortex lattice for a holographic superconductor

Kengo Maeda, Makoto Natsuume, Takashi Okamura

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77 Citations (Scopus)

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 languageEnglish
Article number026002
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume81
Issue number2
DOIs
Publication statusPublished - 2010 Jan 7

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vortices
free energy
condensates
flux density
scalars
magnetic fields
wavelengths

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 journalArticle

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