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Effective holographic theories of momentum relaxation and violation of conductivity bound

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  • Published: 19 April 2016
  • volume 2016, Article number: 122 (2016)
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Effective holographic theories of momentum relaxation and violation of conductivity bound
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  • Blaise Goutéraux1,2,
  • Elias Kiritsis2,3 &
  • Wei-Jia Li3 

  • 317 Accesses

  • 52 Citations

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A preprint version of the article is available at arXiv.

Abstract

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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This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Authors and Affiliations

  1. Stanford Institute for Theoretical Physics, Department of Physics, Stanford University, Stanford, CA, 94305-4060, U.S.A.

    Blaise Goutéraux

  2. APC, Université Paris 7, CNRS/IN2P3, CEA/IRFU, Obs. de Paris, Sorbonne Paris Cité, Bâtiment Condorcet, F-75205, Paris Cedex 13, France (UMR du CNRS 7164)

    Blaise Goutéraux & Elias Kiritsis

  3. Crete Center for Theoretical Physics and I.P.P., Department of Physics, University of Crete, 71003, Heraklion, Greece

    Elias Kiritsis & Wei-Jia Li

Authors
  1. Blaise Goutéraux
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  2. Elias Kiritsis
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  3. Wei-Jia Li
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Correspondence to Blaise Goutéraux.

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ArXiv ePrint: 1602.01067

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Goutéraux, B., Kiritsis, E. & Li, WJ. Effective holographic theories of momentum relaxation and violation of conductivity bound. J. High Energ. Phys. 2016, 122 (2016). https://doi.org/10.1007/JHEP04(2016)122

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  • Received: 12 February 2016

  • Accepted: 31 March 2016

  • Published: 19 April 2016

  • DOI: https://doi.org/10.1007/JHEP04(2016)122

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Keywords

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