Double frustration and magneto-electro-elastic excitations in collinear multiferroic materials

Abstract

We discuss a model scenario for multiferroic systems of type II (collinear spins) where the electric dipolar order competes with a frustrated magnetic order in determining the elastic distortions of the lattice ion positions. High magnetic frustration due to second neighbors exchange and small spin easy-axis anisotropy lead to the appearance of the so called quantum magnetic plateau states. Increasing the magnetic field above the plateau border produces composite excitations, where fractionalized spin tertions arise together with spontaneous dipolar flips (in the form of domain walls) and enhanced localized elastic distortions. This peculiar magneto-electric effect may be described by magneto-electric-elastic (MEE) quasiparticles that could be detected by X-ray and neutron diffraction techniques. Our results are supported by extensive DMRG computations on the spin sector and self-consistent equations for the lattice distortions.We investigate here the commensurability interplay of the P = 1/3 period three dipolar order ⇑⇑⇓ (see Figure 2-C below) with the period three magnetic configurations observed in many frustrated magnetic materials with M = 1/3 magnetization plateaus (M expressed as a fraction of saturation). In most studies the M = 1/3 plateau state is found to form a collinear ↑↑↓ (see Fig 2-B) classical pattern [18], but a quantum •−• ↑ order (where •−• stands for a spin singlet, see Figure 2-A) has been also