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arXiv · 2205.00227

Transport properties of a $3$-dimensional holographic effective theory with gauge-axion coupling

Yi-Lin Li·Xi-Jing Wang·Guoyang Fu·Jian-Pin Wu
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Abstract

In this paper, we implement a $3$-dimensional holographic effective theory with gauge-axion coupling. The analytical black hole solution is worked out. We investigate the Direct current (DC) thermoelectric conductivities. A novel property is that DC electric conductivity for vanishing gauge-axion coupling is temperature dependent. It is different from that of $4$-dimensional axion model whose DC electric conductivity is temperature independent. In addition, the gauge-axion coupling induces a metal insulator transition (MIT) at zero temperature. The properties of other DC thermoelectric conductivities are also discussed. Moreover we find that the Wiedemann-Franz (WF) law is violated in our model.

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Yi-Lin Li, Xi-Jing Wang, Guoyang Fu, Jian-Pin Wu. 2022-04-30. Transport properties of a $3$-dimensional holographic effective theory with gauge-axion coupling. https://doi.org/10.1016/j.physletb.2022.137124

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