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Phys Rev Lett. 2014 Jul 04;113(1):011601. doi: 10.1103/PhysRevLett.113.011601. Epub 2014 Jul 02.

Persistent superconductor currents in holographic lattices.

Physical review letters

Norihiro Iizuka, Akihiro Ishibashi, Kengo Maeda

Affiliations

  1. Interdisciplinary Fundamental Physics Team, Interdisciplinary Theoretical Science Research Group, RIKEN, Wako 351-0198, Japan and Department of Physics, Osaka University, Toyonaka, Osaka 560-0043, Japan.
  2. Department of Physics, Kinki University, Higashi-Osaka, Osaka 577-8502, Japan.
  3. Faculty of Engineering, Shibaura Institute of Technology, Saitama 330-8570, Japan.

PMID: 25032917 DOI: 10.1103/PhysRevLett.113.011601

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 branes with momentum or 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 it suggests that in dual field theory with lattices, superconductor currents are made up of "composite" fields, rather than "fractionalized" degrees of freedom. We also show that our solutions are consistent with the superfluid hydrodynamics.

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