Approximate strange metallic behavior in AdS

Abstract

We show for unit dynamical exponent, $z=1$, the appearance of the Fermi liquid and non-Fermi liquid behavior as we tune the charge density and the magnetic field in 3+1 dimensional field theory using the gauge-gravity duality. There exists an upturn behavior of the resistivity only along the direction perpendicular to the magnetic field. Also, there exists a universal behavior of the resistivity, independent of the dimensionality of the spacetime, in a specific corner of the parameter space, namely, in the large charge density and small magnetic field limit: the longitudinal conductivity goes as $T^{-2/z}$, whereas the Hall conductivity goes as $T^{-4/z}$. It means the Hall coefficient goes as $T^{4/z}$. We compute the diffusion constant from the flow equation of the conductivity.

1+32 pages, 9 figures and LATEX

References in corpus (6)

• Universality of the hydrodynamic limit in AdS/CFT and the membrane paradigm
• Metallic AdS/CFT
• Hall Conductivity of Flavor Fields from AdS/CFT
• Pathologies in Asymptotically Lifshitz Spacetimes
• From black holes to strange metals
• AC Transport at Holographic Quantum Hall Transitions

Cited by in corpus (1)

• Fermi-like Liquid From Einstein-DBI-Dilaton System