Abstract
We study the thermal diffusivity DT in models of metals without quasiparticle excitations ("strange metals"). The manybody quantum chaos and transport properties of such metals can be efficiently described by a holographic representation in a gravitational theory in an emergent curved spacetime with an additional spatial dimension. We find that at generic infrared fixed points DT is always related to parameters characterizing manybody quantum chaos: the butterfly velocity vB and Lyapunov time τL through DT∼vB2τL. The relationship holds independently of the charge density, periodic potential strength, or magnetic field at the fixed point. The generality of this result follows from the observation that the thermal conductivity of strange metals depends only on the metric near the horizon of a black hole in the emergent spacetime and is otherwise insensitive to the profile of any matter fields.
Original language  English 

Article number  106008 
Journal  Physical Review D 
Volume  96 
Issue number  10 
DOIs  
Publication status  Published  13 Nov 2017 
ASJC Scopus subject areas
 Physics and Astronomy (miscellaneous)
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Profiles

Richard Davison
 School of Mathematical & Computer Sciences  Assistant Professor
 School of Mathematical & Computer Sciences, Mathematics  Assistant Professor
Person: Academic (Research & Teaching)