Optical Conductivity with Holographic Lattices

Abstract

We add a gravitational background lattice to the simplest holographic model of matter at finite density and calculate the optical conductivity. With the lattice, the zero frequency delta function found in previous calculations (resulting from translation invariance) is broadened and the DC conductivity is finite. The optical conductivity exhibits a Drude peak with a cross-over to power-law behavior at higher frequencies. Surprisingly, these results bear a strong resemblance to the properties of some of the cuprates.

22 pages, 10 figures. v2: typos fixed; slight variation in phase noted

References in corpus (4)

• Metallic AdS/CFT
• Ricci solitons, Ricci flow, and strongly coupled CFT in the Schwarzschild Unruh or Boulware vacua
• Holography and the sound of criticality
• Adventures in Holographic Dimer Models

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