Helicity, anisotropies and their competition in a multiferroic magnet: insight from the phase diagram

Abstract

Motivated by the complex phase diagram of MnWO4, we investigate competition between anisotropy, magnetic field, and helicity for the anisotropic next-nearest-neighbor Heisenberg model. Apart from two competing exchanges, which favor a spiral magnetic structure, the model features the bi-axial single-ion anisotropy. The model is treated in the real-space mean-field approximation and the phase diagram containing various incommensurate and commensurate states is obtained for different field orientations. We discuss similarities and differences of the theoretical phase diagram and the experimental diagram of MnWO4.

arXiv comment5 pages, as accepted

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• Noncoplanar multi-k states in frustrated spinel and kagome magnets
• High-field magnetic structure of the triangular antiferromagnet RbFe(MoO4)2
• Formation of spiral ordering by magnetic field in frustrated anisotropic antiferromagnets
• Spiral plane flops in frustrated helimagnets in external magnetic field
• Phase competition in frustrated anisotropic antiferromagnet in strong magnetic field
• Electron spin resonance in spiral antiferromagnet linarite: theory and experiment
• Numerical interchain mean-field theory for the specific heat of the bimetallic ferromagnetically coupled chain compound MnNi(NO${}_2$)${}_4$(en)${}_2$ (en = ethylenediamine)
• Entropic selection of magnetization in a frustrated 2D magnetic model
• Magnons in the fan phase of anisotropic frustrated antiferromagnets