Holographic DC Conductivity for Backreacted NLED in Massive Gravity

TL;DR

This paper develops a holographic model incorporating nonlinear electrodynamics and massive gravity to analyze DC conductivity and transport properties, revealing mechanisms for Mott-insulating behavior and negative magneto-resistivity.

Contribution

It introduces a comprehensive holographic framework with backreacted NLED in massive gravity, exploring transport phenomena and specific models like Maxwell and Born-Infeld.

Findings

DC conductivities in magnetic fields are derived with backreaction effects.

Identifies mechanisms for Mott-insulating behavior at zero temperature.

Reveals negative magneto-resistivity linked to model parameters.

Abstract

In this work a holographic model with the charge current dual to a general nonlinear electrodynamics (NLED) is discussed in the framework of massive gravity. Massive graviton can breaks the diffeomorphism invariance in the bulk and generates momentum dissipation in the dual boundary theory. The expression of DC conductivities in a finite magnetic field are obtained, with the backreaction of NLED field on the background geometry. General transport properties in various limits are presented, and then we turn to the three of specific NLED models: the conventional Maxwell electrodynamics, the Maxwell-Chern-Simons electrodynamics, and the Born-Infeld electrodynamics, to study the parameter-dependence of in-plane resistivity. Two mechanisms leading to the Mott-insulating behaviors and negative magneto-resistivity are revealed at zero temperature, and the role played by the massive gravity coupling parameters are discussed.