Holography and condensed matter

Abstract

This is a short review of recent developments in the application of AdS/CFT methods to some condensed matter problems. In particular we present the holographic description of a local quantum critical state, related to (non)-Fermi liquids and the strange metal, that appears in large N CFTs with a gravity dual at finite density and zero temperature, and explore its properties by probing it with fermionic operators. Further we discuss possible bosonic and fermionic instabilities, leading to s-, p- or d-wave holographic superconductors and "electron stars". Finally we present a realization of local quantum criticality via an impurity problem.

11 pages, 4 figures; Contribution to the proceedings of the "XVII European Workshop on String Theory 2011", Padova, Italy, 5-9 September 2011; v2: ref added

References in corpus (18)

• Building an AdS/CFT superconductor
• "Deconfined" quantum critical points
• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• Lectures on Holographic Superfluidity and Superconductivity
• Quantum magnetism and criticality
• Holographic metals and the fractionalized Fermi liquid
• Holographic Superconductors with Various Condensates
• A Non-Fermi Liquid from a Charged Black Hole; A Critical Fermi Ball
• Real-time response in AdS/CFT with application to spinors
• Electron stars for holographic metallic criticality
• Protected nodes and the collapse of the Fermi arcs in high Tc cuprates
• The gravity dual to a quantum critical point with spontaneous symmetry breaking
• Gauge gravity duality for d-wave superconductors: prospects and challenges
• Stellar spectroscopy: Fermions and holographic Lifshitz criticality
• Towards a holographic marginal Fermi liquid
• Degenerate Stars and Gravitational Collapse in AdS/CFT
• Holographic Fermi arcs and a d-wave gap
• Low-temperature behavior of the Abelian Higgs model in anti-de Sitter space

Cited by in corpus (5)

• Holographic model of the S^{+/-} multiband superconductor
• Transport properties of spacetime-filling branes
• Charge density wave instability in holographic d-wave superconductor
• Black holes with $\mathfrak{su}(N)$ gauge field hair and superconducting horizons
• Quasinormal Modes and Correlators in the Shear Channel of Spacetime-Filling Branes