We consider model of quasi-2D magnetoelectric material as XY model for spin system on a lattice with local multiferroic-like interaction of spin and electric polarization vectors. We calculate the contribution of magnetic (spin) vortex-antivortex pairs (which form electric dipoles) to the dielectric susceptibility of the system. We show that in approximation of non-interacting pairs at T→TBKT (Berezinskii-Kosterlitz-Thouless temperature) dielectric susceptibility diverges.
@article{arxiv.1506.07856,
title = {Dielectric susceptibility of magnetoelectric thin films with vortex-antivortex dipole pairs},
author = {P. I. Karpov and S. I. Mukhin},
journal= {arXiv preprint arXiv:1506.07856},
year = {2015}
}