Persistent Superconductor Currents in Holographic Lattices

Abstract

We consider a persistent superconductor current along the direction with no translational symmetry in a holographic gravity model. Incorporating a lattice structure into the model, we numerically construct novel solutions of hairy charged stationary black brane with momentum/rotation along the latticed direction. The lattice structure prevents the horizon from rotating, and the total momentum is only carried by matter fields outside the black brane horizon. This is consistent with the black hole rigidity theorem, and suggests that in dual field theory with lattices, superconductor currents are made up by "composite" fields, rather than "fractionalized" degrees of freedom. We also show that our solutions are consistent with the superfluid hydrodynamics.

5 pages, 2 figures. v2: new section added, showing many new numerical solutions, their parameter relation analysis, and comparison with boundary superfluid hydrodynamics. Minor improvements, reference added

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• Building an AdS/CFT superconductor
• Fractionalized Fermi liquids
• A Higher Dimensional Stationary Rotating Black Hole Must be Axisymmetric
• Holographic model of superfluidity
• Symmetries of Higher Dimensional Black Holes
• Fermi surfaces and gauge-gravity duality
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Cited by in corpus (5)

• Holographic superconductors from the massive gravity
• A rotating hairy AdS3 black hole with the metric having only one Killing vector field
• Holographic s-wave and p-wave Josephson junction with backreaction
• Flows of Extremal Attractor Black Holes
• Holographic superfluid flows with a localized repulsive potential