Universal Charge Diffusion and the Butterfly Effect in Holographic Theories

Research output: Contribution to journalLetter (Academic Journal)peer-review

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 Dc=Cv2B/(2πT), where vB is the velocity of the butterfly effect. The constant of proportionality C depends only on the scaling exponents of the infrared theory. Our results suggest an unexpected connection between transport at strong coupling and quantum chaos
Original languageEnglish
Article number091601
Number of pages6
JournalPhysical Review Letters
Volume117
Issue number9
DOIs
Publication statusPublished - 23 Aug 2016

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