Conductivity in the anisotropic background

Details Conductivity in the anisotropic background Conductivity in the anisotropic background

2010-06-04

arxiv.org/abs/1006.0779v3

Phys.Rev.D83:066005,2011

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, 13 figures, added some comments and references

Scientific paper

10.1103/PhysRevD.83.066005

By using the gauge/gravity duality, we investigate the dual field theories of the anisotropic backgrounds, which are exact solutions of Einstein-Maxwell-dilaton theory with a Liouville potential. When we turn on the bulk gauge field fluctuation $A_x$ with a non-trivial dilaton coupling, the AC conductivity of this dual field theory is proportional to the frequency with an exponent depending on parameters of the anisotropic background. In some parameter regions, we find that this conductivity can have the negative exponent like the strange metal. In addition, we also investigate another U(1) gauge field fluctuation, which is not coupled with a dilaton field. We classify all possible conductivities of this system and find that the exponent of the conductivity is always positive.

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