Multiferroic response and clamped domain structure in a two-dimensional spiral magnet: Monte Carlo simulation

The Monte Carlo simulation on multiferroic behaviors of the two-dimensional $\mathrm{Mn}{\mathrm{O}}_{2}$ lattice in multiferroic manganites is performed based on the model [I. A. Sergienko and E. Dagotto, Phys. Rev. B 73, 094434 (2006)] associated with the Dzyaloshinskii-Moriya interaction. The simulated ferroelectric polarization induced by the spiral spin ordering and its response to external magnetic field agree well with reported experimental observations. Furthermore, the coexistence of clamped ferroelectric domains and spiral spin domains is revealed in our simulation.