Conductivity and Diffusion Constant in Lifshitz Backgrounds

Abstract

We study the DC conductivity and the diffusion constant for asymptotically Lifshitz black branes in $(d+2)$- dimensions with arbitrary dynamical exponent $z$. For a solvable example with $z=2,d=4$, we calculate the real-time correlation functions, from which we can read off the corresponding conductivity and diffusion constant. For black branes with arbitrary $z$ and $d$, we work out the conductivity and obtain the diffusion constant by making use of the Einstein relation. All the results agree with those obtained via the membrane paradigm.

18 pages, no figures, references added, to appear in JHEP

References in corpus (6)

• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Gravity duals for non-relativistic CFTs
• Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
• Black holes in asymptotically Lifshitz spacetime
• On String Theory Duals of Lifshitz-like Fixed Points
• R^2 Corrections to Asymptotically Lifshitz Spacetimes

Cited by in corpus (2)

• Universal thermal and electrical conductivity from holography
• Notes on Properties of Holographic Strange Metals