Holographic superconductivity from higher derivative theory

Abstract

We construct a $6$ derivative holographic superconductor model in the $4$-dimensional bulk spacetimes, in which the normal state describes a quantum critical (QC) phase. The phase diagram $({\gamma }_1,{\hat{T}}_c)$ and the condensation as the function of temperature are worked out numerically. We observe that with the decrease of the coupling parameter ${\gamma }_1$, the critical temperature ${\hat{T}}_c$ decreases and the formation of charged scalar hair becomes harder. We also calculate the optical conductivity. An appealing characteristic is a wider extension of the superconducting energy gap, comparing with that of $4$ derivative theory. It is expected that this phenomena can be observed in the real materials of high temperature superconductor. Also the Homes' law in our present models with $4$ and $6$ derivative corrections is explored. We find that in certain range of parameters $\gamma$ and ${\gamma }_1$, the experimentally measured value of the universal constant $C$ in Homes' law can be obtained.

16 pages, 5 figures

References in corpus (35)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• Large N Field Theories, String Theory and Gravity
• Building an AdS/CFT superconductor
• Visualizing pair formation on the atomic scale in the high-Tc superconductor Bi2Sr2CaCu2O8+d
• Non-zero temperature transport near quantum critical points
• Universal scaling relation in high-temperature superconductors
• Holographic quantum matter
• Introduction to Holographic Superconductors
• What can gauge-gravity duality teach us about condensed matter physics?
• Holographic Superconductors with various condensates in Einstein-Gauss-Bonnet gravity
• Holographic Quantum Critical Transport without Self-Duality
• The dynamics of quantum criticality via Quantum Monte Carlo and holography
• Conformal field theories at non-zero temperature: operator product expansions, Monte Carlo, and holography
• Weyl corrections to holographic conductivity
• Effect of external magnetic field on holographic superconductors in presence of nonlinear corrections
• The 3+1 holographic superconductor with Weyl corrections
• Scaling of the superfluid density in high-temperature superconductors
• p-Wave holographic superconductors with Weyl corrections
• The quasi-normal modes of quantum criticality
• A note on holographic superconductors with Weyl Corrections
• The Stückelberg Holographic Superconductors with Weyl corrections
• Holographic insulator/superconductor phase transition with Weyl corrections
• Holographic Metal-Insulator Transition in Higher Derivative Gravity
• Condensation of the scalar field with Stuckelberg and Weyl Corrections in the background of a planar AdS-Schwarzschild black hole
• Dispersing quasinormal modes in 2+1 dimensional conformal field theories
• Quantum critical charge response from higher derivatives: is more different?
• Holographic p-wave superconductor models with Weyl corrections
• Holographic superconductor with momentum relaxation and Weyl correction
• Holographic p-wave Superconductors in Quasi-topological Gravity
• Holographic superconductors with Weyl Corrections via gauge/gravity duality
• Holographic superconductors with Weyl corrections
• Holographic charge transport in 2+1 dimensions at finite $N$
• Holographic response from higher derivatives with homogeneous disorder
• Momentum dissipation and holographic transport without self-duality

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• Analytical study of the holographic superconductor from higher derivative theory
• Higher derivatives driven symmetry breaking in holographic superconductors
• Holographic Superconductors: An Analytic Method Revisit
• p-wave holographic superconductor in scalar hairy black holes
• Holographic fermionic spectrum with Weyl correction
• EM duality and Quasi-normal modes from higher derivatives with homogeneous disorder