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Universal Charge Diffusion and the Butterfly Effect

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arxiv 1603.08510 v3 pith:HZNCIG5H submitted 2016-03-28 hep-th cond-mat.str-el

classification hep-thcond-mat.str-el
keywords diffusionbutterflychargeconstanteffectscalingtheoriesuniversal
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abstract

We study charge diffusion in holographic scaling theories with a particle-hole symmetry. We show that these theories have a universal regime in which the diffusion constant is given by $D_c = C v_B^2/ (2 \pi T)$ where $v_B$ is the velocity of the butterfly effect. The constant of proportionality, $C$, depends only on the scaling exponents of the infra-red theory. Our results suggest an unexpected connection between transport at strong coupling and quantum chaos.

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Cited by 5 Pith papers

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