Conductivity in the anisotropic background

Abstract

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.

22 pages, 13 figures, added some comments and references

References in corpus (7)

• Lectures on Holographic Superfluidity and Superconductivity
• Effective Holographic Theories for low-temperature condensed matter systems
• Non-relativistic holography
• A Non-Fermi Liquid from a Charged Black Hole; A Critical Fermi Ball
• Hall conductivity from dyonic black holes
• The gravity dual to a quantum critical point with spontaneous symmetry breaking
• Strange Metallic Behavior in Anisotropic Background

Cited by in corpus (3)

• Holography of Dyonic Dilaton Black Branes
• Strange Metallic Behavior in Anisotropic Background
• Strange Metallic Behaviour and the Thermodynamics of Charged Dilatonic Black Holes