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.
Highlights
When α2 1, the geometry is almost determined by the contributions from the axionic sector, and the nonlinear electrodynamics (NLED) field can be approximated as a probe one
The charge current in the boundary field theory is dual to a NLED field in bulk
We considered the backreaction effects of the NLED field on the geometry and introduced axionic scalars to generate momentum dissipation
Summary
Constructing a holographic model describing Mott insulators is still a challenging task. Some other holographic models dual to Mott insulators include [30,31,32]. A holographic model using a particular type of NLED, namely iDBI, was proposed in [33] to mimic interactions between electrons by self-interactions of the NLED field. It showed that Mott-like behavior appeared for large enough self-interaction strength. 4, the dependence of the inplane resistance on the temperature, the charge density and the magnetic field are investigated for Maxwell, Maxwell– Chern–Simons, Born-Infeld, square and logarithmic electrodynamics.
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