Built on

D. Lovelock, The Einstein tensor and its generalizations
1971
Earlier work this paper cites.
G.W. Horndeski, Second-order scalar-tensor field equations in a four-dimensional space
1974
Earlier work this paper cites.
R.M. Wald, Black hole entropy is the Noether charge,
1993
Earlier work this paper cites.
V. Iyer and R.M. Wald, Some properties of Noether charge and a proposal for dynamical black hole entropy,
1994
Earlier work this paper cites.
P. Kovtun, D.T. Son and A.O. Starinets, Holography and hydrodynamics: Diffusion on stretched horizons
2003
Earlier work this paper cites.
P. Kovtun, D.T. Son and A.O. Starinets, Viscosity in strongly interacting quantum field theories from black hole physics
2005
Earlier work this paper cites.
S.A. Hartnoll, Lectures on holographic methods for condensed matter physics
Original
2009
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A. Nicolis, R. Rattazzi and E. Trincherini, The Galileon as a local modification of gravity
Original
2009
Earlier work this paper cites.
N. Iqbal and H. Liu, Universality of the hydrodynamic limit in AdS/CFT and the membrane paradigm
Original
2009
Earlier work this paper cites.
S. Sachdev, What can gauge-gravity duality teach us about condensed matter physics?
Original
2012
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J. Beltran Jimenez, R. Durrer, L. Heisenberg and M. Thorsrud, Stability of Horndeski vector-tensor interactions
Original
2013
Earlier work this paper cites.
M. Blake and D. Tong, Universal resistivity from holographic massive gravity
Original
2013
Earlier work this paper cites.

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Then

M. Blake, Universal Diffusion in Incoherent Black Holes
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2016
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M. Baggioli and O. Pujolas, On holographic disorder-driven metal-insulator transitions
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2018

Violation of Thermal Conductivity Bound in Horndeski Theory

Liu, Hai-Shan

Understand

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].

Built on

D. Lovelock, The Einstein tensor and its generalizations
1971
Earlier work this paper cites.
G.W. Horndeski, Second-order scalar-tensor field equations in a four-dimensional space
1974
Earlier work this paper cites.
R.M. Wald, Black hole entropy is the Noether charge,
1993
Earlier work this paper cites.
V. Iyer and R.M. Wald, Some properties of Noether charge and a proposal for dynamical black hole entropy,
1994
Earlier work this paper cites.
P. Kovtun, D.T. Son and A.O. Starinets, Holography and hydrodynamics: Diffusion on stretched horizons
2003
Earlier work this paper cites.
P. Kovtun, D.T. Son and A.O. Starinets, Viscosity in strongly interacting quantum field theories from black hole physics
2005
Earlier work this paper cites.
S.A. Hartnoll, Lectures on holographic methods for condensed matter physics
Original
2009
Earlier work this paper cites.
A. Nicolis, R. Rattazzi and E. Trincherini, The Galileon as a local modification of gravity
Original
2009
Earlier work this paper cites.
N. Iqbal and H. Liu, Universality of the hydrodynamic limit in AdS/CFT and the membrane paradigm
Original
2009
Earlier work this paper cites.
S. Sachdev, What can gauge-gravity duality teach us about condensed matter physics?
Original
2012
Earlier work this paper cites.
J. Beltran Jimenez, R. Durrer, L. Heisenberg and M. Thorsrud, Stability of Horndeski vector-tensor interactions
Original
2013
Earlier work this paper cites.
M. Blake and D. Tong, Universal resistivity from holographic massive gravity
Original
2013
Earlier work this paper cites.