Time Reversal Symmetry Breaking Holographic Superconductor in Constant External Magnetic Field
arXiv:0906.2323 · doi:10.1103/PhysRevD.80.066001
Abstract
It is known that a classical SU(2) Einstein-Yang-Mills theory in 3+1 dimensional anti-de Sitter spacetime can provide a holographic dual to a 2+1 dimensional time reversal symmetry breaking superconductor with a pseudogap. We study the properties of this holographic superconductor in the presence of an applied constant external magnetic field, neglecting backreaction on the geometry. The superconductor is immersed into a constant external magnetic field by adding a radially (the extra dimension) dependent magnetic field to the black hole. As for real superconductors, there is a critical magnetic field above which no superconductivity can appear. The continuity of the first derivative of the free energy difference between the superconducting phase and the normal phase at the critical temperature suggests that the superconducting phase transition with applied magnetic field is of second order.
arXiv comment12 pages, 3 figures, references added, typos corrected
References in corpus (24)
- Gauge Theory Correlators from Non-Critical String Theory
- Large N Field Theories, String Theory and Gravity
- Building an AdS/CFT superconductor
- 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
- The gravity dual of a p-wave superconductor
- Supersymmetric, cold and lukewarm black holes in cosmological Einstein-Maxwell theory
- Holographic model of superfluidity
- Hall conductivity from dyonic black holes
- Colorful horizons with charge in anti-de Sitter space
- Ohm's Law at strong coupling: S duality and the cyclotron resonance
- A Holographic Superconductor in an External Magnetic Field
- Fractional Quantum Hall Effect via Holography: Chern-Simons, Edge States, and Hierarchy
- Superconductivity from gauge/gravity duality with flavor
- Pseudogap and time reversal breaking in a holographic superconductor
- Impure AdS/CFT
- Supercurrent: Vector Hair for an AdS Black Hole
- Critical magnetic field in AdS/CFT superconductor
- A Rotating Holographic Superconductor
- Gravity Dual of a Quantum Hall Plateau Transition
- The Second Sound of SU(2)
- Quantum Hall Effect in AdS/CFT
- Characteristic length of an AdS/CFT superconductor
Cited by in corpus (27)
- Holographic superconductors in the Born-Infeld electrodynamics
- General holographic superconductor models with Gauss-Bonnet corrections
- Holographic Superconductors in 3+1 dimensions away from the probe limit
- Hard-gapped Holographic Superconductors
- The 3+1 holographic superconductor with Weyl corrections
- Holographic conductivity of zero temperature superconductors
- Inhomogeneous Structures in Holographic Superfluids: II. Vortices
- Various types of phase transitions in the AdS soliton background
- Holographic superconductors in the AdS black hole spacetime with a global monopole
- Dynamical perturbations and critical phenomena in Gauss-Bonnet-AdS black holes
- Supercurrent in p-wave Holographic Superconductor
- Holographic superconductors in quintessence AdS black hole
- Analytic study on backreacting holographic superconductors with dark matter sector
- Maxwell-Chern-Simons Vortices and Holographic Superconductors
- d-wave Holographic Superconductor Vortex Lattice and Non-Abelian Holographic Superconductor Droplet
- Magnetic field in holographic superconductor with dark matter sector
- Superconducting Coherence Length and Magnetic Penetration Depth of a p-wave Holographic Superconductor
- The holographic superconductors in higher-dimensional AdS soliton
- 1+1-dimensional p-wave superconductors from intersecting D-branes
- Characteristic length of a Holographic Superconductor with -wave gap
- Holographic superconductor models in the non-minimal derivative coupling theory
- Observing various phase transitions in the holographic model of superfluidity
- Holographic superconductors in the AdS black hole with a magnetic charge
- Towards holographic duals for anomalous supercurrents
- The Stückelberg Holographic Superconductors in Constant External Magnetic Field
- Universality of critical magnetic field in holographic superconductor
- Twisted holographic superconductors in external magnetic field