论文标题
类比磁电的表面上的磁偶极矩与铁电表面的电荷之间的类比
Analogy between the magnetic dipole moment at the surface of a magnetoelectric and the electric charge at the surface of a ferroelectric
论文作者
论文摘要
为了纪念Igor Dzyaloshinskii在他的90岁生日时，我们鉴于铁电极的现代理论，我们重新审视了他对线性磁电效应的开创性工作。我们表明，与磁电材料相关的表面磁偶极矩类似于铁电的结合表面电荷，因为它可以方便地用大量的磁性多层化来方便地描述，类似于铁电偏振。我们将固有的表面磁化定义为每个单位区域的表面磁偶极矩，并从知识中，为任何表面平面提取了方便的配方，从知识中将其提取。我们演示了原型磁电材料Cr $ _2 $ o $ _3 $的程序，其中Dzyaloshinskii首先鉴定了线性磁电效应，并比较了内在表面磁化值的价值与最近的实验测量值。最后，我们认为，多个晶格不包含零的非磁性反铁磁铁应该具有内在的表面磁化，就像非极性绝缘子的极化晶格不包含零的非极性绝缘子具有固有的表面电荷一样。
In honor of Igor Dzyaloshinskii on his 90th birthday, we revisit his pioneering work on the linear magnetoelectric effect in light of the modern theory of ferroelectric polarization. We show that the surface magnetic dipole moment associated with magnetoelectric materials is analogous to the bound surface charge in ferroelectrics, in that it can be conveniently described in terms of a bulk magnetoelectric multipolization that is analogous to the ferroelectric polarization. We define the intrinsic surface magnetization to be this surface magnetic dipole moment per unit area, and provide a convenient recipe for extracting it for any surface plane, from knowledge of the bulk magnetic order. We demonstrate the procedure for the prototypical magnetoelectric material, Cr$_2$O$_3$, in which Dzyaloshinskii first identified the linear magnetoelectric effect, and compare the value of the intrinsic surface magnetization to recent experimental measurements. Finally, we argue that non-magnetoelectric antiferromagnets whose multipolization lattices do not contain zero should have an intrinsic surface magnetization, in the same way that non-polar insulators whose polarization lattices do not contain zero have an intrinsic surface charge.
