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Violation of thermal conductivity bound in Horndeski theory

Hai-Shan Liu*

  • Institute for Advanced Physics and Mathematics, Zhejiang University of Technology, Hangzhou 310023, China

  • *hsliu.zju@gmail.com
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Phys. Rev. D 98, 061902(R) – Published 25 September, 2018

DOI: https://doi.org/10.1103/PhysRevD.98.061902

Abstract

We consider charged anti–de Sitter planar black holes in the four-dimensional Einstein-Maxwell-Horndeski theory with two free axions and analyze the black hole thermodynamics. We calculate the holographic thermoelectric conductivities of the dual field theory and determine the ratio of thermal conductivity over the temperature. At low temperature and with zero electric current, we find that the ratio is proportional to temperature squared and hence can be arbitrarily small, providing the first example that violates the previously conjectured thermal conductivity bound.

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Phys. Rev. D 98, 061902(R)– Published 25 September, 2018
  • Received 3 May 2018
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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