Strange Metallic Behavior in Anisotropic Background

TL;DR

This paper investigates the electrical conductivity properties of anisotropic backgrounds using D-brane probes, providing analytical results for massless and massive charge carriers, and aligning theoretical models with real-world strange metal behaviors.

Contribution

It introduces a detailed analysis of conductivity in anisotropic backgrounds with D-brane techniques, including analytical solutions and parameter fixing to match strange metal scaling behaviors.

Findings

Analytical DC and AC conductivity for massless charge carriers.

Conductivity calculations for massive carriers in the dilute limit.

Parameter fixing to replicate strange metal scaling behaviors.

Abstract

We continue our analysis on conductivity in the anisotropic background by employing the D-brane probe technique, where the D-branes play the role of charge carriers. The DC and AC conductivity for massless charge carriers are obtained analytically, while interesting curves for the AC conductivity are also plotted. For massive charge carriers, we calculate the DC and AC conductivities in the dilute limit and we fix the parameters in the Einstein-Maxwell-dilaton theory so that the background exhibits the same scaling behaviors as those for real-world strange metals. The DC conductivity at finite density is also computed.