The Ginzburg-Landau Theory of a Holographic Superconductor

Abstract

The general Ginzburg-Landau formulation of a holographic superconductor is developed near the transition temperature in the probe limit for two kinds of conformal dimension. Below the transition temperature, $T<T_c$, the order-parameter scales with $\sqrt{1-\frac{T}{T_c}}$ as expected. The G-L free energy in grand caonnical ensemble and canonical ensemble are derived and the gradient term is studied. Furthermore this scaling coefficient of order-parameter takes different values in the grand canonical ensemble and the canonical ensemble, suggesting the strong coupling nature of the boundary field theory of the superconductiviy.

arXiv commentTypos fixed, 29 pages in Revtex

References in corpus (40)

• Gauge Theory Correlators from Non-Critical String Theory
• Large N Field Theories, String Theory and Gravity
• The World as a Hologram
• Building an AdS/CFT superconductor
• Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma
• Lectures on holographic methods for condensed matter physics
• AdS/CFT Correspondence and Symmetry Breaking
• Holographic Superconductors
• Breaking an Abelian gauge symmetry near a black hole horizon
• The gravity dual of a p-wave superconductor
• Holographic Superconductors with Various Condensates
• Multi-Trace Operators, Boundary Conditions, And AdS/CFT Correspondence
• Zero Temperature Limit of Holographic Superconductors
• Holographic model of superfluidity
• Holographic Superconductors with Higher Curvature Corrections
• An Analytic Holographic Superconductor
• Holographic superconductors in the Born-Infeld electrodynamics
• Asymptotic behavior and Hamiltonian analysis of anti-de Sitter gravity coupled to scalar fields
• Asymptotically Anti-de Sitter spacetimes and scalar fields with a logarithmic branch
• Analytic calculation of properties of holographic superconductors
• Towards A Holographic Model of D-Wave Superconductors
• Holographic p-wave superconductors from Gauss-Bonnet gravity
• Universality class of holographic superconductors
• Analytical study on holographic superconductors in external magnetic field
• Gauge gravity duality for d-wave superconductors: prospects and challenges
• Analytic study of properties of holographic superconductors in Born-Infeld electrodynamics
• Gauss-Bonnet Holographic Superconductors
• Holographic Superconductors with Power-Maxwell field
• Analytic study of Gauss-Bonnet holographic superconductors in Born-Infeld electrodynamics
• Characteristic length of an AdS/CFT superconductor
• Analytical Computation of Critical Exponents in Several Holographic Superconductors
• A Note on Gauss-Bonnet Holographic Superconductors
• Analytical study on holographic superconductors with backreactions
• Analytical study on holographic superconductors for Born-Infeld electrodynamics in Gauss-Bonnet gravity with backreactions
• Gauss-Bonnet correction to Holographic thermalization: two-point functions, circular Wilson loops and entanglement entropy
• Analytical calculation on critical magnetic field in holographic superconductors with backreaction
• Holographic superconductors in a model of non-relativistic gravity
• d-wave Holographic Superconductor Vortex Lattice and Non-Abelian Holographic Superconductor Droplet
• Holographic superconductors with Weyl Corrections via gauge/gravity duality
• An Analytic Analysis of Phase Transitions in Holographic Superconductors

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• Massive $2$-form field and holographic ferromagnetic phase transition
• The Emergence of Superconducting Systems in Anti-de Sitter Space