Magnetoelectric effect in strongly magnetized color superconductivity

The effect of a strong magnetic field on the electric polarization of a three-flavor color superconducting medium is investigated. We find that the electric susceptibility of this strongly magnetized medium is highly anisotropic. In the direction transverse to the applied magnetic field the susceptibility reduces to that of the vacuum, while in the longitudinal direction it depends on the magnetic field and decreases with it. The nature of this behavior is associated with the fieldʼs dependence of the Cooper pairsʼ coherence length, which plays the role of the electric dipole length. The fieldʼs dependence of the electric polarization is interpreted as the realization of the magnetoelectric effect in cold-dense quark matter.