Notes on Properties of Holographic Strange Metals

Abstract

We investigate properties of holographic strange metals in $p+2$-dimensions, generalizing the analysis performed in arXiv:0912.1061. The bulk spacetime is $p+2$-dimensional Lifshitz black hole, while the role of charge carriers is played by probe D-branes. We mainly focus on massless charge carriers, where most of the results can be obtained analytically. We obtain exact results for the free energy and calculate the entropy density, the heat capacity as well as the speed of sound at low temperature. We obtain the DC conductivity and DC Hall conductivity and find that the DC conductivity takes a universal form in the large density limit, while the Hall conductivity is also universal in all dimensions. We also study the resistivity in different limits and clarify the condition for the linear dependence on the temperature, which is a key feature of strange metals. We show that our results for the DC conductivity are consistent with those obtained via Kubo formula and we obtain the charge diffusion constant analytically. The corresponding properties of massive charge carriers are also discussed in brief.

32 pages, minor modifications

References in corpus (23)

• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Lectures on Holographic Superfluidity and Superconductivity
• Energy loss of a heavy quark moving through N=4 supersymmetric Yang-Mills plasma
• Drag force in AdS/CFT
• Non-relativistic holography
• A Non-Fermi Liquid from a Charged Black Hole; A Critical Fermi Ball
• Metallic AdS/CFT
• Quantum critical transport, duality, and M-theory
• Black holes in asymptotically Lifshitz spacetime
• On String Theory Duals of Lifshitz-like Fixed Points
• Phenomenology of the normal state in-plane transport properties of high-$T_c$ cuprates
• Energy Loss of Heavy Quarks from Asymptotically AdS Geometries
• Zero Sound from Holography
• A bound on the speed of sound from holography
• Hall Conductivity of Flavor Fields from AdS/CFT
• Baryon-charge Chemical Potential in AdS/CFT
• From black holes to strange metals
• Holography and the speed of sound at high temperatures
• Strange Metallic Behavior in Anisotropic Background
• Conductivity and Diffusion Constant in Lifshitz Backgrounds
• Holographic Spectral Functions in Metallic AdS/CFT
• Baryonic Response of Dense Holographic QCD
• A note on conductivity and charge diffusion in holographic flavour systems

Cited by in corpus (3)

• Zero Sound in Strange Metallic Holography
• Charged Dilatonic Black Holes and their Transport Properties
• Non-commutative holographic QCD and DC conductivity