Very General Holographic Superconductors and Entanglement Thermodynamics

Abstract

We construct and analyze holographic superconductors with generalized higher derivative couplings, in single R-charged black hole backgrounds in four and five dimensions. These systems, which we call very general holographic superconductors, have multiple tuning parameters and are shown to exhibit a rich phase structure. We establish the phase diagram numerically as well as by computing the free energy, and then validated the results by calculating the entanglement entropy for these systems. The entanglement entropy is shown to be a perfect indicator of the phase diagram. The differences in the nature of the entanglement entropy in R-charged backgrounds compared to the AdS-Schwarzschild cases are pointed out. We also compute the analogue of the entangling temperature for a subclass of these systems and compare the results with non-hairy backgrounds.

arXiv comment1 + 32 pages, LaTeX, 27 .eps figures

References in corpus (28)

• The Large N Limit of Superconformal Field Theories and Supergravity
• Holographic Derivation of Entanglement Entropy from AdS/CFT
• Entanglement Entropy and Quantum Field Theory
• A Stress Tensor for Anti-de Sitter Gravity
• Building an AdS/CFT superconductor
• Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence
• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Holographic Superconductors
• Breaking an Abelian gauge symmetry near a black hole horizon
• Holographic Superconductors with Various Condensates
• Thermodynamical Property of Entanglement Entropy for Excited States
• Holographic Superconductors with Higher Curvature Corrections
• A refinement of entanglement entropy and the number of degrees of freedom
• First order superconducting phase transition in CeCoIn${}_5$
• A Holographic Superconductor in an External Magnetic Field
• Holographic Superconductors with various condensates in Einstein-Gauss-Bonnet gravity
• First-Order Superconducting Transition of Sr2RuO4
• Holographic Studies of Entanglement Entropy in Superconductors
• A general class of holographic superconductors
• Minimal Holographic Superconductors from Maximal Supergravity
• Entanglement Entropy and Wilson Loop in Stückelberg Holographic Insulator/Superconductor Model
• Dynamic critical phenomena in the AdS/CFT duality
• Building a Holographic Superconductor with Higher-derivative Couplings
• Entanglement Thermodynamics
• Entanglement Entropy in Holographic P-Wave Superconductor/Insulator Model
• Experimental observation of a first-order phase transition below the superconducting transition temperature in the multilayer cuprate superconductor HgBa${}_2$Ca${}_4$Cu${}_5$O${}_y$
• Generalized Superconductors and Holographic Optics
• Generalized Holographic Superconductors with Higher Derivative Couplings

Cited by in corpus (18)

• Interplay between the holographic QCD phase diagram and entanglement entropy
• Confining gauge theories and holographic entanglement entropy with a magnetic field
• Aspects of Holographic Entanglement at Finite Temperature and Chemical Potential
• Holographic Entanglement Entropy in the QCD Phase Diagram with a Critical Point
• Spontaneous Holographic Scalarization of Black Holes in Einstein-Scalar-Gauss-Bonnet Theories
• Mixed state entanglement measures as probe for confinement
• Holographic entanglement entropy close to crossover/phase transition in strongly coupled systems
• Entanglement thermodynamics for charged black holes
• Holographic entanglement entropy and complexity in St$\ddot{u}$ckelberg superconductor
• Holographic confining/deconfining gauge theories and entanglement measures with a magnetic field
• Generalized Superconductors and Holographic Optics
• The Effect of Anisotropy on Holographic Entanglement Entropy and Mutual Information
• Four-dimensional black holes with scalar hair in nonlinear electrodynamics
• Time-evolution of holographic entanglement entropy and metric perturbations
• Holographic superconductor with nonlinear arcsin-electrodynamics
• Generalized Superconductors and Holographic Optics - II
• Analytical study of the holographic superconductor from higher derivative theory
• What's inside a hairy black hole in massive gravity?