4.4 Article

Effective holographic theories of momentum relaxation and violation of conductivity bound

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 4, Pages -

Publisher

SPRINGER
DOI: 10.1007/JHEP04(2016)122

Keywords

Holography and condensed matter physics (AdS/CMT); AdS-CFT Correspondence; Gauge-gravity correspondence

Funding

  1. European Union [316165]
  2. Advanced ERC grant SM-grav [669288]
  3. Marie Curie International Outgoing Fellowship within the 7th European Community Framework Programme FP7 [624054]
  4. European Research Council (ERC) [669288] Funding Source: European Research Council (ERC)

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We generalize current holographic models with homogeneous breaking of translation symmetry by incorporating higher derivative couplings, in the spirit of effective field theories. Focusing on charge transport, we specialize to two simple couplings between the charge and translation symmetry breaking sectors. We obtain analytical charged black brane solutions and compute their DC conductivity in terms of horizon data. We constrain the allowed values of the couplings and note that the DC conductivity can vanish at zero temperature for strong translation symmetry breaking, thus showing that in general there is no lower bound on the conductivity.

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