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arxiv: 0910.4475 · v2 · submitted 2009-10-23 · ✦ hep-th

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Vortex lattice for a holographic superconductor

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classification ✦ hep-th
keywords latticesolutionholographicenergyfreesuperconductorstheoryvortex
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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.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Novel five-dimensional rotating Lifshitz black holes with electric and axionic charges

    hep-th 2026-01 conditional novelty 7.0

    Exact 5D rotating Lifshitz black holes with electric and axionic charges were found and used to show that rotation weakens holographic superconductivity while higher z enhances it.