One-dimensional holographic superconductor from AdS_3/CFT_2 correspondence

Abstract

We obtain a holographical description of a superconductor by using the d=2 case of the AdS_{d+1}/CFT_d correspondence. The gravity system is a (2+1)-dimensional AdS black hole coupled to a Maxwell field and charged scalar. The dual (1+1)-dimensional superconductor will be strongly correlated. The characteristic exponents for vector perturbations at the boundary degenerate, which implies that d=2 is a critical dimension and the Green's function needs to be regularized. In the normal phase, the current-current correlation function and the conductivity can be analytically solved at zero chemical potential. The dc conductivity can be analytically solved at finite chemical potential. When we add a scalar hair to the black hole, a charged condensate happens at low temperatures. We compare our results with higher-dimensional cases.

arXiv comment22 pages, 7 figures; v2: minor corrections; v3: published version

References in corpus (20)

• Gauge Theory Correlators from Non-Critical String Theory
• The Black Hole in Three Dimensional Space Time
• Building an AdS/CFT superconductor
• AdS/CFT Correspondence and Symmetry Breaking
• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• One-Dimensional Fermi liquids
• Holographic Superconductors
• From AdS/CFT correspondence to hydrodynamics
• Conformal Field Theory Interpretation of Black Hole Quasi-normal Modes
• Zero Temperature Limit of Holographic Superconductors
• Boundary Conditions and Dualities: Vector Fields in AdS/CFT
• Holographic Hydrodynamics with a Chemical Potential
• Holographic spectral functions and diffusion constants for fundamental matter
• The gravity dual to a quantum critical point with spontaneous symmetry breaking
• Superconductivity from D3/D7: Holographic Pion Superfluid
• The Second Sound of SU(2)
• Properties of CFTs dual to Charged BTZ black-hole
• Holographic quantum liquids in 1+1 dimensions
• Hydrodynamics from the D1-brane
• Spinning Dragging Strings

Cited by in corpus (44)

• Universal far-from-equilibrium Dynamics of a Holographic Superconductor
• Chiral anomalies and AdS/CMT in two dimensions
• Cosmic Censorship of Rotating Anti-de Sitter Black Hole
• Holographic superconductor developed in BTZ black hole background with backreactions
• Competition between the s-wave and p-wave superconductivity phases in a holographic model
• 3D Supergravity from wrapped D3-branes
• Phase transitions in a holographic s+p model with backreaction
• Weak Cosmic Censorship with Pressure and Volume in Charged Anti-de Sitter Black Hole under Charged Scalar Field
• Sum Rules from an Extra Dimension
• Boundary Conditions and Unitarity: the Maxwell-Chern-Simons System in AdS_3/CFT_2
• 3D gauged supergravity from wrapped M5-branes with AdS/CMT applications
• Analytical and numerical study of backreacting one-dimensional holographic superconductors in the presence of Born-Infeld electrodynamics
• Gravitational solitons, hairy black holes and phase transitions in BHT massive gravity
• Anisotropic Generalized Polytropic Spheres: Regular 3D Black Holes
• Rotating BTZ Black Holes and One Dimensional Holographic Superconductors
• Asymptotic structure of the Einstein-Maxwell theory on AdS${}_3$
• One-dimensional backreacting holographic superconductors with exponential nonlinear electrodynamics
• Lifshitz scaling effects on the holographic p-wave superconductors coupled to nonlinear electrodynamics
• Mimetic gravity in $(2+1)$-dimensions
• Non-Equilibrium Field Dynamics of an Honest Holographic Superconductor
• 1+1-dimensional p-wave superconductors from intersecting D-branes
• Conductivity of the holographic p-wave superconductors with higher order corrections
• One dimensional s-wave holographic superconductor with supercurrent
• More on Superconductors via Gauge/Gravity Duality with Nonlinear Maxwell Field
• One-dimensional backreacting holographic p-wave superconductors
• Conductivity of the one-dimensional holographic p-wave superconductors in the presence of nonlinear electrodynamics
• Holographic two dimensional QCD and Chern-Simons term
• Holographic Symmetry-Breaking Phases in AdS${}_3$/CFT${}_2$
• Analytic AC conductivities from holography
• Symmetric solitonic excitations of the (1+1)-dimensional Abelian-Higgs "classical vacuum"
• Holographic P-wave Superconductors in 1+1 Dimensions
• Thermodynamic stability of a new three dimensional regular black hole
• Holographic subregion complexity of a 1+1 dimensional $p$-wave superconductor
• Blandford-Znajek process in vacuo and its holographic dual
• Investigating quantum criticality through charged scalar fields near the BTZ black hole horizon
• Gauss-Bonnet holographic superconductors in lower-dimensions
• Kibble-Zurek Scaling in a Holographic p-wave Superconductor
• Three dimensional charged black holes in Gauss-Bonnet gravity
• Fermions in an AdS3 Black Hole Background and the Gauge-Gravity Duality
• Log-rise of the Resistivity in the Holographic Kondo Model
• Probing quantum criticality near the BTZ black hole horizon: Insights from coupled fermion-antifermion pairs
• Thermalization and Hydrodynamics of Two-Dimensional Quantum Field Theories
• Topological Field Theory and Stochastic Dynamics
• The role of torsion in holographic conductivity