Holographic Superconductivity with Gauss-Bonnet gravity

Abstract

I review recent work on holographic superconductivity with Einstein-Gauss-Bonnet gravity, and show how the critical temperature of the superconductor depends on both gravitational backreaction and the Gauss-Bonnet parameter, using both analytic and numerical arguments. I also review computations of the conductivity, finding the energy gap, and demonstrating that there is no universal gap ratio, ${\omega }_g/T_c$, for these superconductors.

Contribution to the proceedings of the conference: Recent Developments in Gravity (NEB-14) 06/2010, Ioannina, Greece. 12 pages latex, 5 figures

References in corpus (13)

• Building an AdS/CFT superconductor
• Lectures on Holographic Superfluidity and Superconductivity
• Holographic Superconductors with Various Condensates
• Holographic superconductivity in M-Theory
• Superconductors from Superstrings
• A Holographic Superconductor in an External Magnetic Field
• Holographic p-wave superconductors from Gauss-Bonnet gravity
• Gauss-Bonnet Holographic Superconductors
• Towards a Novel no-hair Theorem for Black Holes
• Stability of Lovelock Black Holes under Tensor Perturbations
• Holographic Superconductors and Higher Curvature Corrections
• Exploring colourful holographic superconductors
• Stability of Holographic Superconductors

Cited by in corpus (22)

• Higher dimensional holographic superconductors in Born-Infeld electrodynamics with backreaction
• Analytical study on holographic superconductors with backreactions
• Analytical study of holographic superconductor in Born-Infeld electrodynamics with backreaction
• Non-equilibrium condensation process in holographic superconductor with nonlinear electrodynamics
• Analytic study of properties of holographic superconductors away from the probe limit
• Holographic superconductors in a model of non-relativistic gravity
• Holographic superconductors in 4D Einstein-Gauss-Bonnet gravity
• Effects of backreaction and exponential nonlinear electrodynamics on the holographic superconductors
• Rotating BTZ Black Holes and One Dimensional Holographic Superconductors
• Competing s-wave orders from Einstein-Gauss-Bonnet gravity
• Holographic superconductors with Weyl corrections
• The Rich Structure of Gauss-Bonnet Holographic Superconductors
• Thermodynamic geometry of holographic superconductors
• Holographic p-wave superfluid in Gauss-Bonnet gravity
• Holographic superconductors in 4D Einstein-Gauss-Bonnet gravity with backreactions
• Backreacting holographic superconductors from the coupling of a scalar field to the Einstein tensor
• Free energy of a Lovelock holographic superconductor
• Holographic entanglement entropy and subregion complexity for excited states of holographic superconductors
• Phase transitions in a holographic s+d model from the 4D Einstein-Gauss-Bonnet gravity
• Higher-dimensional Holographic Superconductors in Born-Infeld Electrodynamics and f(R) Gravity
• Holographic Superconductors in f(R) Gravity
• Analytical study of holographic superconductor with backreaction in $4d$ Gauss-Bonnet gravity