Effects of background rotation and anisotropy in the holographic description of type-II superconductors

Abstract

The present work concerns the detailed construction of a holographic model for a type-II s-wave superconductor defined on a 5-dimensional anisotropic rotating black hole. We examine the role of rotation and anisotropy on the properties of the superconductor model focusing on the condensate and the AC conductivity, for which we obtain closed formulas, using both analytical and numerical methods. The results reveal that the rotation is responsible for the appearance of a peak and for introducing an exponentially vanishing behavior in the high-frequency limit of the real component of the AC conductivity. Such a behavior aligns with that observed in high-temperature superconductor models and experiments, where the peak and vanishing behavior result from quasiparticle damping, suggesting a relation between the {\it rotation of a black hole} and {\it quasiparticle damping effects} due to impurities or defects in a superconducting material. This relation supplements the holographic dictionary of the gravity/Condensed Matter Theory correspondence. In addition, we provide a detailed construction of the vortex lattice presented in arXiv:2208.05988 and study its behavior as a function of an external uniform magnetic field. Once again, it is shown that the vortex lattice can be continuously deformed along with a change in the vortex population by virtue of the magnetic field, providing a promising avenue for holographically modeling the vortex lattice deformations observed in experimental studies with superconducting materials. As a concrete example, we describe both the vortex lattice deformation and the increment of the vortex population under the action of an external magnetic field in the LiFeAs type-II superconductor. These effects supplement those previously found for the FeSe type-II superconductor studied in arXiv:2208.05988.

This is a substantially revised version with new results included. It contains 26 pages, 7 figures

References in corpus (15)

• Building an AdS/CFT superconductor
• Holographic model of superfluidity
• A Holographic Superconductor in an External Magnetic Field
• Scanning Tunneling Microscopy/Spectroscopy of Vortices in LiFeAs
• A Rotating Holographic Superconductor
• Reconciling scaling of the optical conductivity of cuprate superconductors with Planckian resistivity and specific heat
• Holographic superconductors with $z=2$ Lifshitz scaling
• Holographic Abrikosov lattice: vortex matter from black hole
• Holographic Superconductors in a Rotating Spacetime
• Unprecedentedly large gap in HgBa${}_2$Ca${}_2$Cu${}_3$O${}_{8+\delta }$ with the highest $T_c$ at ambient pressure
• Analytic investigation of rotating holographic superconductors
• Vortex structure deformation of rotating Lifshitz Holographic Superconductors
• Vortices in a rotating holographic superfluid with Lifshitz scaling
• Electrical conductivity and nuclear magnetic resonance relaxation rate of Eliashberg superconductors in the weak-coupling limit
• Absence of hexagonal to square structural transition in LiFeAs vortex matter