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Further Evidence for Lattice-Induced Scaling
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abstract
We continue our study of holographic transport in the presence of a background lattice. We recently found evidence that the presence of a lattice induces a new intermediate scaling regime in asymptotically $AdS_4$ spacetimes. This manifests itself in the optical conductivity which exhibits a robust power-law dependence on frequency, $\sigma \sim \omega^{-2/3}$, in a "mid-infrared" regime, a result which is in striking agreement with experiments on the cuprates. Here we provide further evidence for the existence of this intermediate scaling regime. We demonstrate similar scaling in the thermoelectric conductivity, find analogous scalings in asymptotically $AdS_5$ spacetimes, and show that we get the same results with an ionic lattice.
Forward citations
Cited by 3 Pith papers
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Thermodynamics and DC conductivity of 2D anisotropic fluids from axion holography
An anisotropic, single-axion holographic fluid is thermodynamically stable for all studied anisotropy and charge, with DC conductivity that vanishes at large anisotropy and passes through a metal-insulator transition.
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Holographic striped superconductor with ionic lattice
In a holographic model, a stronger ionic lattice suppresses the charge density wave phase, enhances the superconducting phase, and makes their coexisting striped superconducting state the most stable.
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AC charge transport in holographic Horndeski gravity
A holographic Horndeski model is found to exhibit a temperature-driven metal-semiconductor crossover, with AC conductivity that fits the Drude formula in the slow-relaxation regime.
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