Rotation-reversal symmetries in crystals and handed structures
Rotation-reversal symmetries in crystals and handed structures
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DOI：
10.1038/nmat2987
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发表时间：
2011-05-01
期刊：
影响因子：
41.2
通讯作者：
Litvin, Daniel B.
中科院分区：
文献类型：
--
作者：
Gopalan, Venkatraman;Litvin, Daniel B.
对称性是感知和预测物理世界的有力框架。材料的结构由旋转、旋转反转和平移对称性的组合来描述。通过认识到逆时针和顺时针方向之间的静态结构旋转作为一个独特的对称操作的逆转，在这里，我们表明，有更多的结构对称性比目前公认的右手或左手螺旋，螺旋，并在反扭曲结构组成的旋转同样的两个手。例如，我们发现，许多反扭曲钙钛矿拥有两倍的对称元素的数量，传统上确定。这些新的“旋转”对称性预示了与静态旋转有关的“旋转”性质的新形式，如旋转电、压旋转和旋转磁。它们能够对新现象进行基于量子力学的搜索，例如涉及自旋耦合、电极化和静态旋转的多铁性。这项工作是相关的结构性质的关系，在所有的材料和结构与静态旋转。
Symmetry is a powerful framework to perceive and predict the physical world. The structure of materials is described by a combination of rotations, rotation-inversions and translational symmetries. By recognizing the reversal of static structural rotations between clockwise and counterclockwise directions as a distinct symmetry operation, here we show that there are many more structural symmetries than are currently recognized in right-or left-handed helices, spirals, and in antidistorted structures composed equally of rotations of both handedness. For example, we show that many antidistorted perovskites possess twice the number of symmetry elements as conventionally identified. These new 'roto' symmetries predict new forms for 'roto' properties that relate to static rotations, such as rotoelectricity, piezorotation, and rotomagnetism. They enable a symmetry-based search for new phenomena, such as multiferroicity involving a coupling of spins, electric polarization and static rotations. This work is relevant to structure-property relationships in all materials and structures with static rotations.