Holographic Experiments on Defects

TL;DR

This paper investigates the charge transport properties of defect matter fields in a holographic setup under magnetic fields, charge density, and mass, revealing resonances, hydrodynamic behavior, and a self-duality in the massless case.

Contribution

It provides a detailed analysis of anisotropic charge transport on defects in holography, including high-frequency resonances, low-frequency Drude behavior, and a novel self-duality for massless defects.

Findings

Discovery of quasi-particle resonances at high frequencies due to magnetic field and density.

Identification of a Drude-like expansion at low frequencies near the DC limit.

Observation of a self-duality in the massless defect case relating conductivity, density, and magnetic field.

Abstract

Using the AdS/CFT correspondence, we study the anisotropic charge transport properties of both supersymmetric and non-supersymmetric matter fields on (2+1)-dimensional defects coupled to a (3+1)-dimensional N=4 SYM "heat bath". We focus on the cases of a finite external background magnetic field, finite net charge density and finite mass and their combinations. In this context, we also discuss the limitations due to operator mixing that appears in a few situations and that we ignore in our analysis. At high frequencies, we discover a spectrum of quasi-particle resonances due to the magnetic field and finite density and at small frequencies, we perform a Drude-like expansion around the DC limit. Both of these regimes display many generic features and some features that we attribute to strong coupling, such as a minimum DC conductivity and an unusual behavior of the "cyclotron" and plasmon frequencies, which become related to the resonances found in the conformal case in an earlier paper. We further study the hydrodynamic regime and the relaxation properties, from which the system displays a set of different possible transitions to the collisionless regime. The mass dependence can be cast in two regimes: a generic relativistic behavior dominated by the UV and a non-linear hydrodynamic behavior dominated by the IR. In the massless case, we furthermore extend earlier results from the literature to find an interesting self-duality under a transformation of the conductivity and the exchange of density and magnetic field.