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Holographic Conductivity from Einstein-Maxwell-Dilaton Theory in Gauss-Bonnet Gravity and Entropy Function

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Abstract

In this paper, we consider the holographic DC and Hall conductivity in Einstein-Maxwell-Dilaton theory 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 of 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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Acknowledgements

This work was supported by NSFC, China (No.11905185).

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Authors and Affiliations

  1. Department of Physics, Zhejiang Sci-Tech University, Hangzhou, 310018, China

    Yan-Tao Hao & Long Cheng

  2. School of Measuring and Optical Engineering, Nanchang Hangkong University, Nanchang, 330063, China

    Li-Qing Fang

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  1. Yan-Tao Hao
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  2. Li-Qing Fang
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  3. Long Cheng
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Yan-Tao Hao, Li-Qing Fang and Long Cheng contributed equally to this work.

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Correspondence to Long Cheng.

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Hao, YT., Fang, LQ. & Cheng, L. Holographic Conductivity from Einstein-Maxwell-Dilaton Theory in Gauss-Bonnet Gravity and Entropy Function. Int J Theor Phys 62, 228 (2023). https://doi.org/10.1007/s10773-023-05487-6

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