Magnetic Properties of One-dimensional Helical Spin System with Isotropic Spin Exchanges Under the Effect of DM and KSEA

In the present work, we report on a theoretical investigation of the magnetoelectric parameters of the helical Heisenberg multiferroic spin chain model. The spin-wave approximation in the bosonization process is used to evaluate the energy spectrum of the quadratic form of the model as that of regular quantum gases. The quantized form of the model is conveniently treated using the canonical ensemble in terms of the free energy developed by the use of Landau theory. Following the Fermi-Dirac statistics of quantum gases, the joint effect of Dzyaloshinskii -Mriya (DM) and Kaplan-Shekhtman-Entin-Wohlman-Aharony (KSEA) interactions on the magnetoelectric properties of the helical multiferroic spin structure controlled by a static electric field in the y-direction and a magnetic field in the z-direction is quantified. The magnetization, susceptibility, and electric polarization are used as measurable parameters. The work convincingly establishes that the juxtaposition of KSEA interactions to DM interactions is worthy since, on the one hand, it amplifies the magnetic property of the system, and on the other hand makes it possible to control the phase transition dynamics induced in such materials by the symmetric inversion due to the DM interactions. At low temperature, the measurable parameters are closely related to ferroelectricity and ferromagnetism in multiferroic materials, where all effects favor the symmetrization mechanism and hence magnetoelectric properties. These properties are critical in spintronics and information storage control.