Linear-$T$ resistivity from low to high temperature: axion-dilaton theories

Abstract

The linear-$T$ resistivity is one of the hallmarks of various strange metals regardless of their microscopic details. Towards understanding this universal property, the holographic method or gauge/gravity duality has made much progress. Most holographic models have focused on the low temperature limit, where the linear-$T$ resistivity has been explained by the infrared geometry. We extend this analysis to high temperature and identify the conditions for a robust linear-$T$ resistivity up to high temperature. This extension is important because, in experiment, the linear-$T$ resistivity is observed in a large range of temperatures, up to room temperature. In the axion-dilaton theories we find that, to have a robust linear-$T$ resistivity, the strong momentum relaxation is a necessary condition, which agrees with the previous result for the Guber-Rocha model. However, it is not sufficient in the sense that, among large range of parameters giving a linear-$T$ resistivity in low temperature limit, only very limited parameters can support the linear-$T$ resistivity up to high temperature even in strong momentum relaxation. We also show that the incoherent term in the general holographic conductivity formula or the coupling between the dilaton and Maxwell term is responsible for a robust linear-$T$ resistivity up to high temperature.

29 pages, 13 figures, minor correction, JHEP published version

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• Inability of linear axion holographic Gubser-Rocha model to capture all the transport anomalies of strange metals
• On pole-skipping with gauge-invariant variables in holographic axion theories
• The emergence of Strange metal and Topological Liquid near Quantum Critical Point in a solvable model
• New black holes with hyperscaling violation and transports of quantum critical points with magnetic impurity
• Deep learning-based holography for T-linear resistivity
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