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.
Holographic Complexity Growth Rate in Horndeski Theory
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Based on the context of complexity = action (CA) conjecture, we calculate the holographic complexity of AdS black holes with planar and spherical topologies in Horndeski theory. We find that the rate of change of holographic complexity for neutral AdS black holes saturates the Lloyd's bound. For charged black holes, we find that there exists only one horizon and thus the corresponding holographic complexity can't be expressed as the difference of some thermodynamical potential between two horizons as that of Reissner-Nordstrom AdS black hole in Einstein-Maxwell theory. However, the Lloyd's bound is not violated for charged AdS black hole in Horndeski theory.
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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.