The holographic vortex lattice using the circular cell method

Abstract

We investigate vortex lattice solutions in a holographic superconductor model in asymptotically $Ad{S}_4$ spacetime which includes the gravitational backreaction of the vortex. The circular cell approximation, which is known to give a good result for several physical quantities in the Ginzburg-Landau model, is used. The critical magnetic fields and the magnetization curve are computed. The vortex lattice profiles are compared to expectations from the Abrikosov solution in the regime nearby the upper critical magnetic field $H_{2c}$ for which superconductivity is lost.

arXiv comment14 pages 4 figures, matches version published in JHEP

References in corpus (33)

• Building an AdS/CFT superconductor
• The Flux-Line Lattice in Superconductors
• Holographic Superconductors
• Breaking an Abelian gauge symmetry near a black hole horizon
• Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
• Vortices, Instantons and Branes
• Nonabelian Superconductors: Vortices and Confinement in $\mathcal{N}=2$ SQCD
• Properties of the Ideal Ginzburg-Landau Vortex Lattice
• Non-Abelian String Junctions as Confined Monopoles
• Hall conductivity from dyonic black holes
• Moduli Space of Non-Abelian Vortices
• "Double-trace" Deformations, Boundary Conditions and Spacetime Singularities
• Numerical Methods for Finding Stationary Gravitational Solutions
• The Holographic Superconductor Vortex
• Emergent Gauge Fields in Holographic Superconductors
• Vortex lattice for a holographic superconductor
• Reconnection of Non-Abelian Cosmic Strings
• Vortices in holographic superfluids and superconductors as conformal defects
• Magnetic field induced lattice ground states from holography
• Inhomogeneous Structures in Holographic Superfluids: II. Vortices
• Composite non-Abelian Flux Tubes in N=2 SQCD
• Simple Models with Non-Abelian Moduli on Topological Defects
• Luttinger's theorem, superfluid vortices, and holography
• Approximate Ginzburg-Landau solution for the regular flux-line lattice. Circular cell method
• Vortex Lattices and Crystalline Geometries
• Vortex Lattice in a Rotating Holographic Superfluid
• Maxwell-Chern-Simons Vortices and Holographic Superconductors
• Static Interactions of non-Abelian Vortices
• Type I Non-Abelian Superconductors in Supersymmetric Gauge Theories
• Crystalline Scaling Geometries from Vortex Lattices
• Non-Abelian Vortices in Holographic Superconductors
• The holographic non-abelian vortex
• Non-Abelian vortex lattices

Cited by in corpus (7)

• Generation of vortices and stabilization of vortex lattices in holographic superfluids
• Holographic Abrikosov lattice: vortex matter from black hole
• Holographic Abrikosov Lattices
• Giant vortex in a fast rotating holographic superfluid
• Fractional and Integer Vortex Dynamics in Strongly Coupled Two-component Bose-Einstein Condensates from AdS/CFT Correspondence
• A falling magnetic monopole as a holographic local quench
• Thermodynamics, magnetic properties, and global $U(1)$ symmetry breaking of the S-type Gubser-Rocha model