Surprising Connections Between General Relativity and Condensed Matter

Abstract

This brief review is intended to introduce gravitational physicists to recent developments in which general relativity is being used to describe certain aspects of condensed matter systems, e.g., superconductivity.

14 pages; based on talk given at GR19

References in corpus (27)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• The World as a Hologram
• Building an AdS/CFT superconductor
• Lectures on holographic methods for condensed matter physics
• Holographic Superconductors
• Breaking an Abelian gauge symmetry near a black hole horizon
• Lectures on Holographic Superfluidity and Superconductivity
• On the Holographic Renormalization Group
• Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
• Dimensional Reduction in Quantum Gravity
• Holographic duality with a view toward many-body physics
• The AdS/CFT Correspondence and a New Positive Energy Conjecture for General Relativity
• Visualizing pair formation on the atomic scale in the high-Tc superconductor Bi2Sr2CaCu2O8+d
• Information Loss in Black Holes
• Holographic Superconductors with Various Condensates
• Holographic Superconductors with Higher Curvature Corrections
• Hall conductivity from dyonic black holes
• An Analytic Holographic Superconductor
• The Holographic Superconductor Vortex
• Analytic calculation of properties of holographic superconductors
• Emergent Gauge Fields in Holographic Superconductors
• On hypercharge flux and exotics in F-theory GUTs
• Vortex and Droplet Engineering in Holographic Superconductors
• Gauss-Bonnet Holographic Superconductors
• Phases of Holographic Superconductors in an External Magnetic Field
• Holographic Superconductors and Higher Curvature Corrections

Cited by in corpus (19)

• Charged scalar field instability between the event and cosmological horizons
• Exploring New Physics Frontiers Through Numerical Relativity
• Holographic Superfluids and Superconductors in Dilaton-Gravity
• Is the brain relativistic?
• Is string theory a theory of quantum gravity?
• Transitions in Dilaton Holography with Global or Local Symmetries
• Holographic p-wave Superconductors in Quasi-topological Gravity
• Magnetic field in holographic superconductor with dark matter sector
• Scalar Field as a Bose-Einstein Condensate?
• Uniqueness of charged static asymptotically flat black holes in dynamical Chern-Simons gravity
• Abelian-Higgs hair on stationary axisymmetric black hole in Einstein-Maxwell-axion-dilaton gravity
• Superconductivity, Superfluidity and Holography
• Complex scalar field in strictly stationary Einstein-Maxwell-axion-dilaton spacetime with negative cosmological constant
• Black holes with $\mathfrak{su}(N)$ gauge field hair and superconducting horizons
• Hyperbolic ring based formulation for thermo field dynamics, quantum dissipation, entanglement, and holography
• Anisotropic Lifshitz holography in Einstein-Proca theory with stable negative mass spectrum
• Towards holographic duals for anomalous supercurrents
• Phase transition in black holes
• A Non-Equilibrium Approach To Holographic Superconductors Using Gradient Flow