Introductory notes on holographic superconductors

Abstract

The purpose of these lecture notes is to give a quick and introductory overview of holographic superconductors. Besides the actual description of the standard holographic superconductor, attention is paid to the motivations and the relation with the previous, non-holographic context.

53 pages, 10 figures. Informal lecture notes prepared for the IX Modave school of mathematical physics Modave, September 2013, Belgium. v2 references added

References in corpus (23)

• Building an AdS/CFT superconductor
• Quantum oscillations and the Fermi surface in an underdoped high-Tc superconductor
• Lectures on Holographic Superfluidity and Superconductivity
• Quantum criticality
• Superconductivity on the border of weak itinerant ferromagnetism in UCoGe
• A simple holographic model of momentum relaxation
• Holographic Superconductors with Various Condensates
• Holographic superconductivity in M-Theory
• Superconductors from Superstrings
• Holographic duality and the resistivity of strange metals
• Holography without translational symmetry
• Ohm's Law at strong coupling: S duality and the cyclotron resonance
• Superconductivity from gauge/gravity duality with flavor
• Improved Holographic QCD
• D3-D7 Quark-Gluon Plasmas at Finite Baryon Density
• From black holes to strange metals
• Losing Forward Momentum Holographically
• Non Mean-Field Quantum Critical Points from Holography
• Transport properties of spacetime-filling branes
• Holographic Type II Goldstone bosons
• Decoupling of High Dimension Operators from the Low Energy Sector in Holographic Models
• A modern, but way too short history of the theory of superconductivity at a high temperature
• Minimal Model for an Unbalanced Holographic Superconductor

Cited by in corpus (19)

• Thermo-electric transport in gauge/gravity models with momentum dissipation
• Analytic DC thermo-electric conductivities in holography with massive gravitons
• Thermoelectric conductivities, shear viscosity, and stability in an anisotropic linear axion model
• Hyperscaling Violating Solution in Coupled Dilaton-Squared Curvature Gravity
• Analytical and Numerical Study of Gauss-Bonnet Holographic Superconductors with Power-Maxwell Field
• Effects of Backreaction on Power-Maxwell Holographic Superconductors in Gauss-Bonnet Gravity
• Analog Systems for Gravity Duals
• Deformed hyperbolic black holes
• Holographic superconductor in a deformed four-dimensional STU model
• Hydrodynamic Modes of a holographic $p-$ wave superfluid
• Electromagnetic response of strongly coupled plasmas
• Higher order quantum corrections of rotating BTZ black hole
• Thermodynamic Properties of Holographic superfluids
• Non-relativistic Josephson Junction from Holography
• Black holes with $\mathfrak{su}(N)$ gauge field hair and superconducting horizons
• Zeroth Order Phase Transition in a Holographic Superconductor with Single Impurity
• Optical properties of Born-Infeld-dilaton-Lifshitz holographic superconductors
• Magnetic Phenomena in Holographic Superconductivity with Lifshitz Scaling
• Beyond AdS Space-times, New Holographic Correspondences and Applications