2015/12/31 by Xian-Hui Ge, Sang-Jin Sin, Shao-Feng Wu
Mathematics · Physics and Astronomy · #Anisotropy #Black Holes and Theoretical Physics #Black brane #Condensed matter physics #Conductivity #Cosmology and Gravitation Theories #Electrical resistivity and conductivity #Extremal black hole #Geometry #Homogeneous space #Isotropy #Mathematics #Particle physics theoretical and experimental studies #Physics #Quantum mechanics #Universality (dynamical systems) #hep-th
paper · pdf · doi:10.1016/j.physletb.2017.01.056
published as Phys. Lett. B 767 (2017) 63 · 7 pages, references added, typos corrected
openalex publication_date 2017/01/27 · arxiv created 2017/02/02 · arxiv updated 2017/02/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We propose a universal formula of dc electrical conductivity in rotational- and translational-symmetries breaking systems via the holographic duality. This formula states that the ratio of the determinant of the dc electrical conductivities along any spatial directions to the black hole area density in zero-charge limit has a universal value. As explicit illustrations, we give several examples elucidating the validation of this formula: We construct an anisotropic black brane solution, which yields linear in temperature for the in-plane resistivity and insulating behavior for the out-of-plane resistivity; We also construct a spatially isotropic black brane solution that both the linear-T and quadratic-T contributions to the resistivity can be realized.