Maxwell-Chern-Simons Vortices and Holographic Superconductors

Abstract

We investigate probe limit vortex solutions of a charged scalar field in Einstein-Maxwell theory in 3+1 dimensions, for an asymptotically AdS Schwarzschild black hole metric with the addition of an axionic coupling to the Maxwell field. We show that the inclusion of such a term, together with a suitable potential for the axion field, can induce an effective Chern-Simons term on the 2+1 dimensional boundary. We obtain numerical solutions of the equations of motion and find Maxwell-Chern-Simons like magnetic vortex configurations, where the magnetic field profile varies with the size of the effective Chern-Simons coupling. The axion field has a non-trivial profile inside the AdS bulk but does not condense at spatial infinity.

17 pages, 5 figures, version accepted for publication in JHEP

References in corpus (43)

• Building an AdS/CFT superconductor
• Lectures on holographic methods for condensed matter physics
• Holographic Superconductors
• Holographic superconductivity in M-Theory
• Gravity Dual of Spatially Modulated Phase
• A Holographic Superconductor in an External Magnetic Field
• Holographic Superconductors with various condensates in Einstein-Gauss-Bonnet gravity
• An Analytic Holographic Superconductor
• Holographic superconductors in the Born-Infeld electrodynamics
• Quantum Criticality and Holographic Superconductors in M-theory
• Pseudogap and time reversal breaking in a holographic superconductor
• The Holographic Superconductor Vortex
• Analytic calculation of properties of holographic superconductors
• Complete Phase Diagrams for a Holographic Superconductor/Insulator System
• Towards A Holographic Model of D-Wave Superconductors
• Emergent Gauge Fields in Holographic Superconductors
• Vortex lattice for a holographic superconductor
• General holographic superconductor models with Gauss-Bonnet corrections
• A Rotating Holographic Superconductor
• Holographic Superconductors in 3+1 dimensions away from the probe limit
• Analytical study on holographic superconductors in external magnetic field
• Vortex and Droplet Engineering in Holographic Superconductors
• Holographic End-Point of Spatially Modulated Phase Transition
• Photoemission "experiments" on holographic superconductors
• Hard-gapped Holographic Superconductors
• Non-equilibrium Condensation Process in a Holographic Superconductor
• Vortices in (abelian) Chern-Simons gauge theory
• Models of Holographic superconductivity
• Inhomogeneous Structures in Holographic Superfluids: II. Vortices
• The Many Phases of Holographic Superfluids
• Fermion correlators in non-abelian holographic superconductors
• Inhomogeneous Structures in Holographic Superfluids: I. Dark Solitons
• Phases of Holographic Superconductors in an External Magnetic Field
• Holographic superconductors in the AdS black hole spacetime with a global monopole
• Phenomenological Models of Holographic Superconductors and Hall currents
• Holographic Superconductors from Einstein-Maxwell-Dilaton Gravity
• On Holographic Superconductors with DC Current
• Time Reversal Symmetry Breaking Holographic Superconductor in Constant External Magnetic Field
• Holographic superconductors in a model of non-relativistic gravity
• Characteristic length of a Holographic Superconductor with $d$-wave gap
• Holographic superconductor in the exact hairy black hole
• A Holographic model for Non-Relativistic Superconductor
• The Stückelberg Holographic Superconductors in Constant External Magnetic Field

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• Vortex and droplet in holographic D-wave superconductors
• Non-Abelian Vortices in Holographic Superconductors
• Chern-Simons effect on the dual hydrodynamics in the Maxwell-Gauss-Bonnet gravity
• The holographic non-abelian vortex
• Holographic superconductor from a non-commutative inspired anti-de Sitter-Einstein-Born-Infeld black hole
• Holographic parity violating charged fluid dual to Chern-Simons modified gravity
• The holographic vortex lattice using the circular cell method
• AdS Phase Transitions at finite κ
• Chern-Simons vortices and holography
• Towards holographic duals for anomalous supercurrents
• Visible and hidden sectors in a model with Maxwell and Chern-Simons gauge dynamics
• A criterion for the nature of the superconducting transition in strongly interacting field theories : Holographic approach