Thermal transport and quasi-normal modes in Gauss-Bonnet-axions theory

Abstract

We obtain the black brane solution in arbitrary dimensional Gauss-Bonnet-axions (GBA) gravity theory. And then the thermal conductivity of the boundary theory dual to this neutral black brane is explored. We find that the momentum dissipation suppresses the DC thermal conductivity while it is enhanced by larger GB parameter. The analytical and numerical results of DC thermal conductivity match very well. Also we study the effect of the momentum dissipation and the GB coupling on the AC thermal conductivity and fit the results by Drude-like behavior for low frequency. Finally, we analytical compute the quasi-normal modes (QNM) frequency of the perturbative master field in large dimensions limit. Our analytical QNM frequencies agree well with the numerical results in large enough finite dimensions.

12 pages, 6 figures; minor revision, references added; published version

References in corpus (9)

• Lectures on Holographic Superfluidity and Superconductivity
• Holography without translational symmetry
• Momentum dissipation and effective theories of coherent and incoherent transport
• (In)stability of D-dimensional black holes in Gauss-Bonnet theory
• Coherent/incoherent metal transition in a holographic model
• Analytic DC thermo-electric conductivities in holography with massive gravitons
• Eikonal instability of Gauss-Bonnet-(anti-)de Sitter black holes
• Thermoelectric DC conductivities with momentum dissipation from higher derivative gravity
• Instability of Charged Gauss-Bonnet Black Hole in de Sitter Spacetime at Large $D$

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• The Effect of the Gauss-Bonnet term to Hawking Radiation from arbitrary dimensional Black Brane
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• Einstein-Gauss-Bonnet Black Rings at Large $D$
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• Quasinormal modes of black holes in 5D Gauss-Bonnet gravity combined with non-linear electrodynamics
• Holographic heat engine in Horndeski model with the $k$-essence sector
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