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Optical conductivity with holographic lattices

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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.

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Authors and Affiliations

  1. Department of Physics, UCSB, Santa Barbara, CA, 93106, USA

    Gary T. Horowitz & Jorge E. Santos

  2. DAMTP, University of Cambridge, Cambridge, CB3 0WA, UK

    David Tong

Authors
  1. Gary T. Horowitz
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  2. Jorge E. Santos
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  3. David Tong
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Correspondence to Jorge E. Santos.

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ArXiv ePrint: 1204.0519

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Horowitz, G.T., Santos, J.E. & Tong, D. Optical conductivity with holographic lattices. J. High Energ. Phys. 2012, 168 (2012). https://doi.org/10.1007/JHEP07(2012)168

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  • DOI: https://doi.org/10.1007/JHEP07(2012)168

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