Magnetoelectric Effect in Strongly Magnetized Color Superconductivity
Bo Feng, Efrain J. Ferrer, Vivian de la Incera

TL;DR
This paper investigates how strong magnetic fields influence the electric polarization in color superconducting quark matter, revealing anisotropic susceptibility and a magnetoelectric effect related to Cooper pair coherence.
Contribution
It demonstrates the magnetoelectric effect in cold-dense quark matter and analyzes the anisotropic electric susceptibility under strong magnetic fields.
Findings
Electric susceptibility is highly anisotropic.
Transverse susceptibility equals vacuum susceptibility.
Longitudinal susceptibility decreases with magnetic field.
Abstract
The effect of a strong magnetic field on the electric polarization of a three-flavor color superconducting medium is investigated. We found 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 field's dependence of the Cooper pairs' coherence length, which plays the role of the electric dipole length. The field's dependence of the electric polarization is interpreted as the realization of the magnetoelectric effect in cold-dense quark matter.
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