Abstract
We study the thermo-electric transport coefficients of an extended version of the Gubser-Rocha model. After reviewing the two relaxation time model from holography and studying the effect of the magnetic field on thermo-electric transports from hydrodynamic theory, we present a new dilatonic dyonic asymptotically AdS black hole solution. Notice that S-duality plays an important role in finding the analytic solution with the magnetic field. Using the AdS/CMT dictionary, we analyze the electric and thermo-electric transport properties of the dual field theory. The resistivity and the Hall angle are both linear in T for fixed k/μ and B/μ2 for low temperatures. For fixed k/T and μ/T, the electric transport coefficients are strange metallic. The magnetoresistance is approximately quadratic in B for various choices of parametrizations. The Nernst signal is a bell-shaped function in terms of the magnetic field even when the momentum relaxation is strong.
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Acknowledgments
We would like to thank Yongjun Ahn, Shuta Ishigaki, Keun-Young Kim, Hong Lü and Sang-Jin Sin for helpful discussions. We are especially grateful to Hong Lü for giving us valuable insights about the dyonic black holes and to Matteo Baggioli and Hyun-Sik Jeong for giving us valuable comments on the manuscript. This work is partly supported by NSFC, China (Grant No. 12275166 and Grant. No. 12311540141).
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Ge, XH., Xu, Z. Thermo-electric transport of dyonic Gubser-Rocha black holes. J. High Energ. Phys. 2024, 69 (2024). https://doi.org/10.1007/JHEP03(2024)069
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DOI: https://doi.org/10.1007/JHEP03(2024)069