Violation of Thermal Conductivity Bound in Horndeski Theory
High Energy Physics - Theory
2018-10-12 v2 General Relativity and Quantum Cosmology
Abstract
We consider AdS black planar black hole in the four-dimensional Einstein-Maxwell-Horndeski theory with two free axions and analyse the thermodynamics of the black hole. We calculate the holographic thermoelectric conductivities of the dual field theory and determine the ratio of thermal conductivity over the temperature. At low temperature with zero electric current, we find that the ratio is proportional to temperature squared and hence can arbitrarily approach zero, providing an example that violates the thermal conductivity bound proposed in [arXiv:1511.05970].
Keywords
Cite
@article{arxiv.1804.06502,
title = {Violation of Thermal Conductivity Bound in Horndeski Theory},
author = {Hai-Shan Liu},
journal= {arXiv preprint arXiv:1804.06502},
year = {2018}
}
Comments
12 pages, no figure, typo corrected, references added