title: 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 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.
authors.affiliation: 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.
authors.forename: Norihiro
authors.initials: N
authors.lastname: Iizuka
authors.affiliation: Department of Physics, Kinki University, Higashi-Osaka, Osaka 577-8502, Japan.
authors.forename: Akihiro
authors.initials: A
authors.lastname: Ishibashi
authors.affiliation: Faculty of Engineering, Shibaura Institute of Technology, Saitama 330-8570, Japan.
authors.forename: Kengo
authors.initials: K
authors.lastname: Maeda