Holographic DC Conductivity for Backreacted Nonlinear Electrodynamics with Momentum Dissipation

TL;DR

This paper develops a holographic model incorporating nonlinear electrodynamics and momentum dissipation to analyze DC conductivities under magnetic fields, revealing phenomena like negative magnetoresistance and Mott transitions.

Contribution

It introduces a comprehensive holographic framework with backreaction and axionic scalars for nonlinear electrodynamics, exploring novel transport behaviors under magnetic fields.

Findings

Negative magneto-resistance observed in Maxwell-Chern-Simons models.

Mott-like behavior appears at low temperatures.

Magnetic field induces insulator-metal transitions.

Abstract

We consider a holographic model with the charge current dual to a general nonlinear electrodynamics (NLED) field. Taking into account the backreaction of the NLED field on the geometry and introducing axionic scalars to generate momentum dissipation, we obtain expressions for DC conductivities with a finite magnetic field. The properties of the in-plane resistance are examined in several NLED models. For Maxwell-Chern-Simons electrodynamics, negative magneto-resistance and Mott-like behavior could appear in some parameter space region. Depending on the sign of the parameters, we expect the NLED models to mimic some type of weak or strong interactions between electrons. In the latter case, negative magneto-resistance and Mott-like behavior can be realized at low temperatures. Moreover, the Mott insulator to metal transition induced by a magnetic field is also observed at low temperatures.