Abstract
We compute conductivities of strongly-interacting and non-uniform charge densities dual to inhomogeneous anti-de Sitter-black hole spacetimes. Backreacting bulk scalars with periodic boundary profiles, we construct generalizations of ReissnerNordström-AdS that interpolate between those used in two previous studies — one that reports power-law scaling for the boundary optical conductivity and one that does not. We find no evidence for power-law scaling of the conductivity, thereby corroborating the previous negative result that gravitational crystals are insufficient to generate the power-law mid-infrared conductivity observed in cuprate superconductors.
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ArXiv ePrint: 1506.06769
Guggenheim fellow (Philip W. Phillips).
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Langley, B.W., Vanacore, G. & Phillips, P.W. Absence of power-law mid-infrared conductivity in gravitational crystals. J. High Energ. Phys. 2015, 163 (2015). https://doi.org/10.1007/JHEP10(2015)163
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DOI: https://doi.org/10.1007/JHEP10(2015)163