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arXiv 0908.4367cond-mat.mtrl-sci
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第一性原理研究TbMnO3中电子极化对八面体转动的依赖性

Dependence of electronic polarization on octahedral rotations in TbMnO3 from first principles

Andrei Malashevich, David Vanderbilt

摘要:

从第一性原理出发,研究了正交晶系TbMnO_3中电子对磁感应极化的贡献。我们比较的情况下,自旋摆线,诱导电极化的强度通过自旋轨道相互作用,是在b-c或a-b平面。我们发现,在第一种情况下,电子的贡献是可以忽略不计的,但更大,和晶格介导的贡献,在第二种情况下。然而,我们知道这种行为是表征结构松弛的Pbnm晶体结构的八面体旋转的特定模式的人工制品。要做到这一点,我们探讨如何电子的贡献变化的结构模型的刚性旋转MnO 6八面体,并证明它可以在很宽的范围内变化,可比的晶格介导的贡献,为b-c和a-b螺旋。我们引入了一个唯象模型,能够描述这种行为的总和,从中心的Mn-Mn键的氧原子的位移所产生的受约束的贡献。

英文摘要:

The electronic contribution to the magnetically induced polarization in orthorhombic TbMnO3 is studied from first principles. We compare the cases in which the spin cycloid, which induces the electric polarization via the spin-orbit interaction, is in either the b-c or a-b plane. We find that the electronic contribution is negligible in the first case, but much larger, and comparable to the lattice-mediated contribution, in the second case. However, we how that this behavior is an artifact of the particular pattern of octahedral rotations characterizing the structurally relaxed Pbnm crystal structure. To do so, we explore how the electronic contribution varies for a structural model of rigidly rotated MnO6 octahedra, and demonstrate that it can vary over a wide range, comparable with the lattice-mediated contribution, for both b-c and a-b spirals. We introduce a phenomenological model that is capable of describing this behavior in terms of sums of symmetry-constrained contributions arising from the displacements of oxygen atoms from the centers of the Mn-Mn bonds.

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