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Temperature dependences of the electric polarization and wave number of incommensurate structures in multiferroics

机译:多铁磁中不对称结构的电极化和波数的温度依赖性

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摘要

It is shown that the electric polarization and wave number of incommensurate modulations, proportional to each other, increase according to the Landau law in spin multiferroic cycloids near the N,el temperature. In this case, the constant magnetization component (including the one for a conical spiral) is oriented perpendicular to the spin incommensurability wave vector. A similar temperature behavior should manifest itself for spin helicoids, the axes of which are oriented parallel to the polarization vector but their spin rotation planes are oriented perpendicular to the antiferromagnetic order plane. When the directions of axes of the magnetization helicoid and polarization vector coincide, the latter is quadratic with respect to magnetization and linearly depends on temperature, whereas the incommensurate-modulation wave number barely depends on temperature. Structural distortions of unit cells for multiferroics of different types determine their axial behavior.
机译:结果表明,在兰德定律附近,N,el温度下,极化和相互不成比例的调制的波数根据朗道定律增加。在这种情况下,恒定磁化分量(包括用于锥形螺旋的分量)的方向垂直于自旋不可共度波矢量。自旋螺旋线应表现出类似的温度行为,其轴平行于极化矢量,但其自旋旋转平面垂直于反铁磁有序平面。当磁化螺旋面和极化矢量的轴方向重合时,极化矢量相对于磁化强度为二次方,并且线性依赖于温度,而不等调制波数几乎不依赖于温度。不同类型的多铁性材料的晶胞结构变形决定了它们的轴向性能。

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