Holographic Superconductors with Hořava-Lifshitz Black Holes

Abstract

We discuss the phase transition of planar black holes in Hořava-Lifshitz gravity by introducing a Maxwell field and a complex scalar field. We calculate the condensates of the charged operators in the dual CFTs when the mass square of the complex scalar filed is $m^2=-2/L^2$ and $m^2=0$, respectively. We compute the electrical conductivity of the \hl superconductor in the probe approximation. In particular, it is found that there exists a spike in the conductivity for the case of the operator with scaling dimension one. These results are quite similar to those in the case of Schwarzschild-AdS black holes, which demonstrates that the holographic superconductivity is a robust phenomenon associated with asymptotic AdS black holes.

12 pages, 7 figures,refs added

References in corpus (9)

• Quantum Gravity at a Lifshitz Point
• Building an AdS/CFT superconductor
• Lectures on Holographic Superfluidity and Superconductivity
• Holographic Superconductors with Various Condensates
• Solutions to Horava Gravity
• Holographic model of superfluidity
• Holographic superconductivity in M-Theory
• Superconductors from Superstrings
• Colorful horizons with charge in anti-de Sitter space

Cited by in corpus (64)

• Holographic Superconductors with various condensates in Einstein-Gauss-Bonnet gravity
• Holographic superconductors in the Born-Infeld electrodynamics
• Holographic p-wave superconductors from Gauss-Bonnet gravity
• General holographic superconductor models with Gauss-Bonnet corrections
• Holographic Superconductors in 3+1 dimensions away from the probe limit
• Effect of external magnetic field on holographic superconductors in presence of nonlinear corrections
• The 3+1 holographic superconductor with Weyl corrections
• Holographic Entanglement Entropy in P-wave Superconductor Phase Transition
• A note on holographic superconductors with Weyl Corrections
• Holographic s-wave condensate with non-linear electrodynamics: A nontrivial boundary value problem
• Lifshitz Scaling Effects on Holographic Superconductors
• Entanglement Entropy and Wilson Loop in Stückelberg Holographic Insulator/Superconductor Model
• Holographic Complexity in Gauge/String Superconductors
• Higher dimensional holographic superconductors in Born-Infeld electrodynamics with backreaction
• Various types of phase transitions in the AdS soliton background
• Holographic superconductors with $z=2$ Lifshitz scaling
• Holographic superconductor models with the Maxwell field strength corrections
• Condensation of the scalar field with Stuckelberg and Weyl Corrections in the background of a planar AdS-Schwarzschild black hole
• Holographic superconductors in Born-Infeld electrodynamics and external magnetic field
• Dynamical perturbations and critical phenomena in Gauss-Bonnet-AdS black holes
• Holographic entanglement entropy in superconductor phase transition with dark matter sector
• Holographic superconductors in quintessence AdS black hole
• Notes on analytical study of holographic superconductors with Lifshitz scaling in external magnetic field
• Holographic superconductors in a model of non-relativistic gravity
• Analytic study on backreacting holographic superconductors with dark matter sector
• Holographic superconductors with Weyl Corrections via gauge/gravity duality
• Gauss-Bonnet holographic superconductors with magnetic field
• Greybody Factors of Holographic Superconductors with $z=2$ Lifshitz Scaling
• Magnetic field in holographic superconductor with dark matter sector
• Stability of Horava-Lifshitz Black Holes in the Context of AdS/CFT
• Perturbations around the AdS Born-Infeld black holes
• Analytical study of critical magnetic field in a holographic superconductor
• A general holographic insulator/superconductor model away from the probe limit
• Scalar graviton in the healthy extension of Hořava-Lifshitz theory
• Construction of a Holographic Superconductor in F(R) Gravity
• Chern-Simons terms in Lifshitz like quantum electrodynamics
• Lifshitz scaling effects on holographic paramagnetism/ferromagneism phase transition
• The upper critical magnetic field of holographic superconductor with conformally invariant power-Maxwell electrodynamics
• Holographic superconductor models in the non-minimal derivative coupling theory
• Holographic entanglement entropy in two-order insulator/superconductor transitions
• Analytical holographic superconductors in $Ad{S}_N$ Lifshitz topological black holes
• Revisiting holographic superconductors with hyperscaling violation
• Scalarization-like mechanism through spacetime anisotropic scaling symmetry
• Magnetic response of holographic Lifshitz superconductors:Vortex and Droplet solutions
• Observing various phase transitions in the holographic model of superfluidity
• Exponential nonlinear electrodynamics and backreaction effects on Holographic superconductor in the Lifshitz black hole background
• Effect of magnetic field on holographic insulator/superconductor phase transition in higher dimensional Gauss-Bonnet gravity
• Magnetic Phenomena in Holographic Superconductivity with Lifshitz Scaling
• Phase transitions in a holographic superfluid model with non-linear terms beyond the probe limit
• Holographic insulator/superconductor phase transition in Born-Infeld electrodynamics
• Analysis of s-wave, p-wave and d-wave holographic superconductors in Hořava-Lifshitz gravity
• Solutions in IR modified Horava-Lifshitz Gravity
• Holographic $s$-wave condensation and Meissner-like effect in Gauss-Bonnet gravity with various non-linear corrections
• Condensation for non-relativistic matter in Hořava-Lifshitz gravity
• Holographic superconductors in the AdS black hole with a magnetic charge
• Noncommutative effects of charged black hole on holographic superconductors
• Holographic superconductor in hyperscaling violation geometry with Maxwell-dilaton coupling
• Spatially homogeneous black hole solutions in $z=4$ Hořava-Lifshitz gravity in $(4+1)$ dimensions with Nil geometry and $H^2\times R$ horizons
• Effects of massive gravity on $s$-wave holographic superconductor
• Holographic insulator/superconductor phase transition by matching method and thermodynamic geometry
• Phase transition in black holes
• Analytical study of holographic superconductor with backreaction in $4d$ Gauss-Bonnet gravity
• Higher-dimensional Holographic Superconductors in Born-Infeld Electrodynamics and f(R) Gravity
• Twisted holographic superconductors in external magnetic field