Holographic superconductors from the massive gravity

Abstract

A holographic superconductor is constructed in the background of a massive gravity theory. In the normal state without condensation, the conductivity exhibits a Drude peak that approaches a delta function in the massless gravity limit as studied by David Vegh. In the superconducting state, besides the infinite DC conductivity, the AC conductivity has Drude behavior at low frequency followed by a power law-fall. These results are in agreement with that found earlier by Horowitz and Santos, who studied a holographic superconductor with an implicit periodic potential beyond the probe limit. The results also agree with measurements on some cuprates.

arXiv comment19 pages, 10 figures, typos corrected, references added, published version

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• Introduction to Holographic Superconductor Models
• Behavior of quasinormal modes and Van der Waals-like phase transition of charged AdS black holes in massive gravity
• Thermoelectric conductivities, shear viscosity, and stability in an anisotropic linear axion model
• DC and Hall conductivity in holographic massive Einstein-Maxwell-Dilaton gravity
• A Simple Holographic Superconductor with Momentum Relaxation
• Phase transitions and geothermodynamics of black holes in dRGT massive gravity
• Phases of holographic superconductors with broken translational symmetry
• Black hole solutions in Gauss-Bonnet-massive gravity in the presence of power-Maxwell field
• Thermoelectric DC conductivities with momentum dissipation from higher derivative gravity
• Holographic Josephson Junction from Massive Gravity
• Lifshitz effects on holographic $p$-wave superfluid
• Homes' law in holographic superconductor with linear-$T$ resistivity
• Holographic conductivity in the massive gravity with power-law Maxwell field
• Cutoff for Extensions of Massive Gravity and Bi-Gravity
• Probing inside a charged hairy black hole in massive gravity
• The Lifshitz black branes and DC transport coefficients in massive Einstein-Maxwell-dilaton gravity
• The holographic p+ip solution failed to win the competition in dRGT massive gravity
• Fluid/gravity correspondence for massive gravity
• Interactions of Charged Spin-2 Fields
• Effects of massive gravity on $p$-wave holographic superconductor
• Alternating current conductivity and superconducting properties of the holographic effective theory
• Momentum dissipation and holographic transport without self-duality
• Noncommutative $p$-wave holographic superconductors
• Excited states of holographic superconductors from massive gravity
• Effects of massive gravity on $s$-wave holographic superconductor
• Holographic transports from Born-Infeld electrodynamics with momentum dissipation
• Holographic conductivity of 1+1 dimensional systems in soft wall model