具有偶极相互作用的kagome磁体中平带的持久性
Persistence of the flat band in a kagome magnet with dipolar interactions
摘要：
可果美晶格上经典海森堡反铁磁体的风向标模式可能是最早的，也肯定是最著名的零能激发平带的例子。这种模式产生的欠约束，已成为一个强几何挫折的定义标准。我们调查的命运时，偶极相互作用，这平带。这些从根本上改变了最近邻模型，因为它们去除了海森堡自旋旋转对称性，同时也为相互作用引入了长程分量。我们解释了如何模式继续保持近似无色散，同时被提升到有限的能量，以及被压缩：他们改变他们的椭圆度所描述的正则共轭变量的振幅比，包括他们。这一现象提供了一些有趣的概念之间的联系，如约束计数和支撑阻挫磁场的自屏蔽。我们讨论这些现象的不同的相互作用，晶格和尺寸的变体。
英文摘要：
The weathervane modes of the classical Heisenberg antiferromagnet on the kagome lattice constitute possibly the earliest and certainly the most celebrated example of a flat band of zero-energy excitations. Such modes arise from the underconstraint that has since become a defining criterion of strong geometrical frustration. We investigate the fate of this flat band when dipolar interactions are added. These change the nearest-neighbour model fundamentally as they remove the Heisenberg spin-rotational symmetry while also introducing a long- range component to the interaction. We explain how the modes continue to remain approximately dispersionless, while being lifted to finite energy as well as being squeezed: they change their ellipticity described by the ratio of the amplitudes of the canonically conjugate variables comprising them. This phenomenon provides interesting connections between concepts such as constraint counting and self-screening underpinning the field of frustrated magnetism. We discuss variants of these phenomena for different interactions, lattices and dimension.
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