Holographic Conductivity in Disordered Systems
Shinsei Ryu, Tadashi Takayanagi, and Tomonori Ugajin
TL;DR
This paper uses holographic duality to analyze electrical conductivity in disordered 2+1 dimensional systems, providing analytical formulas and studying AC conductivity to identify Mott insulator analogues.
Contribution
It introduces a holographic method to compute DC conductivity in disordered systems and derives an analytical formula for codimension one randomness.
Findings
Derived an analytical formula for conductivity with disorder.
Identified holographic analogues of Mott insulators.
Systematically studied AC conductivity in various setups.
Abstract
The main purpose of this paper is to holographically study the behavior of conductivity in 2+1 dimensional disordered systems. We analyze probe D-brane systems in AdS/CFT with random closed string and open string background fields. We give a prescription of calculating the DC conductivity holographically in disordered systems. In particular, we find an analytical formula of the conductivity in the presence of codimension one randomness. We also systematically study the AC conductivity in various probe brane setups without disorder and find analogues of Mott insulators.
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