Longitudinal magnetoconductivity and magnetodielectric effect in bilayer graphene

It was recently shown that a finite imbalance between electron densities in the $\mathbf{K}$ and $\mathbf{K}'$ valleys of bilayer graphene induces a magnetoelectric coupling. Here we explore ramifications of this electronically tunable magnetoelectric effect for the optical conductivity and dielectric permittivity of this material. Our results augment current understanding of longitudinal magnetoresistance and magnetocapacitance in unconventional materials.