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Persistence of the flat band in a kagome magnet with dipolar interactions

机译：偶极相互作用的kagome磁体中平坦带的持久性

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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-neighbor 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. Moreover, this property is found to be remarkably stable to a wide range of additional interactions.
机译：kagome晶格上的经典海森堡反铁磁体的风向标模式可能是零能量激发平坦带的最早且当然是最著名的例子。这种模式来自于欠约束，此约束已成为强几何挫折的定义标准。当添加偶极相互作用时，我们研究了该平坦带的命运。这些从根本上改变了最近邻居模型，因为它们消除了海森堡自旋-旋转对称性，同时还向交互作用引入了远程分量。我们解释了模式如何继续保持近似无色散，同时又被提升到有限能量并受到挤压：它们改变椭圆率，椭圆率由包含它们的规范共轭变量的振幅比来描​​述。这种现象在诸如约束计数和自我筛选之类的概念之间提供了有趣的联系，从而支撑了沮丧的磁场领域。此外，发现该性质对多种附加相互作用具有显着的稳定性。

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  • 来源
    《Physical review》 |2017年第13期|134411.1-134411.11|共11页
  • 作者

    Mykola Maksymenko; Roderich Moessner; Kirill Shtengel;

  • 作者单位

    Institute for Condensed Matter Physics, NAS of Ukraine, 1 Svientsitskii Street, L'viv-11, Ukraine,Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot 76100, Israel;

    Max-Planck-Institut fur Physik komplexer Systeme, Noethnitzer Strafie 38, 01187 Dresden, Germany;

    Max-Planck-Institut fur Physik komplexer Systeme, Noethnitzer Strafie 38, 01187 Dresden, Germany,Department of Physics and Astronomy, University of California, Riverside, California 92521, USA;

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