Bound states of domain walls in a ferroelectro-ferromagnet

The dynamics of interacting magnetic and ferroelectric domain walls in a ferroelectro-ferromagnet with a uniform magnetoelectric interaction is analyzed within the framework of the adiabatic approximation. It is shown that for a certain sign of the magnetoelectric interaction constant, domain walls form a bound state. The dependence of the relative oscillation frequency of domain wall centers on the maximum distance between the centers is determined. The critical value of the electric field destroying the bound state of magnetic and ferroelectric domain walls is calculated.

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