DC conductivities with momentum dissipation in Horndeski theories
In this paper, we consider two fourdimensional Horndeskitype gravity theories with scalar fields that give rise to solutions with momentum dissipation in the dual boundary theories. Firstly, we study EinsteinMaxwell theory with a Horndeski axion term and two additional free axions which are responsible for momentum dissipation. We construct static electrically charged AdS planar black hole solutions in this theory and calculate analytically the holographic DC conductivity of the dual field theory. We then generalize the results to include magnetic charge in the black hole solution. Secondly, we analyze EinsteinMaxwell theory with two Horndeski axions which are used for momentum dissipation. We obtain AdS planar black hole solutions in the theory and we calculate the holographic DC conductivity of the dual field theory. The theory has a critical point α+γΛ = 0, beyond which the kinetic terms of the Horndeski axions become ghostlike. The conductivity as a function of temperature behaves qualitatively like that of a conductor below the critical point, becoming semiconductorlike at the critical point. Beyond the critical point, the ghostlike nature of the Horndeski fields is associated with the onset of unphysical singular or negative conductivities. Some further generalisations of the above theories are considered also.
 Authors:

^{[1]};
^{[2]};
^{[3]};
^{[4]}
 Zhejiang Univ., Hangzhou (China). Zhejiang Institute of Modern Physics and Ningbo Institute of Technology
 Zhejiang Univ., Hangzhou (China). Institute for Advanced Physics & Mathematics; Texas A & M Univ., College Station, TX (United States). George P. & Cynthia Woods Mitchell Institute for Fundamental Physics and Astronomy
 Beijing Normal University (China). Department of Physics
 Texas A & M Univ., College Station, TX (United States). George P. & Cynthia Woods Mitchell Institute for Fundamental Physics and Astronomy; Cambridge University (United Kingdom). DAMTP, Centre for Mathematical Sciences
 Publication Date:
 Grant/Contract Number:
 FG0213ER42020; SC0010813
 Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 7; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Research Org:
 Texas A & M Univ., College Station, TX (United States)
 Sponsoring Org:
 USDOE
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Gaugegravity correspondence; Holography and condensed matter physics (AdS/CMT)
 OSTI Identifier:
 1393390
Jiang, WeiJian, Liu, HaiShan, Lü, H., and Pope, C. N.. DC conductivities with momentum dissipation in Horndeski theories. United States: N. p.,
Web. doi:10.1007/JHEP07(2017)084.
Jiang, WeiJian, Liu, HaiShan, Lü, H., & Pope, C. N.. DC conductivities with momentum dissipation in Horndeski theories. United States. doi:10.1007/JHEP07(2017)084.
Jiang, WeiJian, Liu, HaiShan, Lü, H., and Pope, C. N.. 2017.
"DC conductivities with momentum dissipation in Horndeski theories". United States.
doi:10.1007/JHEP07(2017)084. https://www.osti.gov/servlets/purl/1393390.
@article{osti_1393390,
title = {DC conductivities with momentum dissipation in Horndeski theories},
author = {Jiang, WeiJian and Liu, HaiShan and Lü, H. and Pope, C. N.},
abstractNote = {In this paper, we consider two fourdimensional Horndeskitype gravity theories with scalar fields that give rise to solutions with momentum dissipation in the dual boundary theories. Firstly, we study EinsteinMaxwell theory with a Horndeski axion term and two additional free axions which are responsible for momentum dissipation. We construct static electrically charged AdS planar black hole solutions in this theory and calculate analytically the holographic DC conductivity of the dual field theory. We then generalize the results to include magnetic charge in the black hole solution. Secondly, we analyze EinsteinMaxwell theory with two Horndeski axions which are used for momentum dissipation. We obtain AdS planar black hole solutions in the theory and we calculate the holographic DC conductivity of the dual field theory. The theory has a critical point α+γΛ = 0, beyond which the kinetic terms of the Horndeski axions become ghostlike. The conductivity as a function of temperature behaves qualitatively like that of a conductor below the critical point, becoming semiconductorlike at the critical point. Beyond the critical point, the ghostlike nature of the Horndeski fields is associated with the onset of unphysical singular or negative conductivities. Some further generalisations of the above theories are considered also.},
doi = {10.1007/JHEP07(2017)084},
journal = {Journal of High Energy Physics (Online)},
number = 7,
volume = 2017,
place = {United States},
year = {2017},
month = {7}
}