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首页> 外文期刊>Physical review. B, Condensed Matter And Materials Physics >Erratum: Landau analysis of the symmetry of the magnetic structure and magnetoelectric interaction in multiferroics [Phys. Rev. B 76, 054447 (2007)]
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Erratum: Landau analysis of the symmetry of the magnetic structure and magnetoelectric interaction in multiferroics [Phys. Rev. B 76, 054447 (2007)]

机译:勘误:Landau分析多铁性材料中的磁性结构和磁电相互作用的对称性[Phys。 Rev. B 76,054447(2007)]

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摘要

This erratum corrects an error in the analysis of Sec. Ⅲ C concerning the allowed Fourier components of the magnetization distribution of TbMn_2O_5 for wave vector q=(1/2,0,q_z) The analysis relies on the form of the inverse susceptibility matrix which was given in Eq. (95). In constructing the symmetry properties of this matrix, the transformation under inversion was incorrectly calculated, as is apparent from Eq. (22). Thus, in Table XV the entries for inversion I and m_xm_yI for sublattices 9-12 all were missing a factor of Λ ≡ exp(27πiq_z), where q_z is in rlu's. The consequences of this omission are the following. In the matrix of Eq. (95), all the elements M_(ij)~(xx) for i<9 and j>8 should be multiplied by Λ_~(1/2) and all the elements of M_(i,j)~xx with i>8 and j<9 should be multiplied by Λ~(-1/2)=Λ~*_(1/2).
机译:此错误纠正了Sec分析中的错误。关于波矢量q =(1 / 2,0,q_z)的TbMn_2O_5的磁化分布的允许傅里叶分量的ⅢC分析依赖于方程中给出的磁化率逆矩阵的形式。 (95)。从等式可以明显看出,在构造该矩阵的对称特性时,错误地计算了反演下的变换。 (22)。因此,在表XV中,子格9-12的反演I和m_xm_yI的条目都缺少因子≡exp(27πiq_z),其中q_z在rlu中。遗漏的后果如下。在等式中(95),i <9和j> 8的所有元素M_(ij)〜(xx)都应乘以Λ_〜(1/2)和M_(i,j)〜xx的所有元素都与i> 8和j <9应乘以Λ〜(-1/2)=Λ〜* _(1/2)。

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