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Holographic conductivity from Einstein-Maxwell-Dilaton in Gauss-Bonnet gravity and Entropy Function
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In this paper we consider the holographic DC and Hall conductivity in Einstein-Maxwell-Dilaton in Gauss-Bonnet gravity with momentum dissipation. We analytically derived the DC conductivity and Hall conductivity from the black horizon data, and found that the conductivities are independent on the Gauss-Bonnet coupling. We also used the entropy function formalism to get the conductivities in terms of the charge of the black hole, even without knowing the explicit black hole solutions.
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The lack of influence of the scalar hair on the DC conductivity
The DC conductivity of beyond-Horndeski axionic black holes is shown to be independent of the primary scalar hair parameter, depending only on horizon data and axion and charge parameters.
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