Anisotropic dyonic black brane and its effects on holographic conductivity

作者：Khimphun Sunly; Lee Bum Hoon; Park Chanyong; Zhang Yun Long

来源：The Journal of High Energy Physics, 2017, 2017(10): 064.

DOI：10.1007/JHEP10(2017)064

• Holography and condensed matter physics (AdS/CMT)
• AdS-CFT Correspondence
• Gauge-gravity correspondence

We investigate a massive gravity theory involving the SL(2; R) symmetry and anisotropy. Due to the SL(2; R) invariance of the equations of motion, the complex conductivity of this model transforms covariantly under the SL(2; R) transformation and the ratio of DC conductivities in different spatial directions is preserved even after the SL(2; R) transformation. We further investigate AC and Hall conductivities by utilizing the Kubo formula. There exists a Drude-like peak in the region with a small anisotropy, while such a Drude peak disappears when anisotropy becomes large. We also show that the complex conductivity can have a cyclotron frequency pole even beyond the hydrodynamic limit.

• 出版日期2017-10-10