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Order and excitations in large-S kagome-lattice antiferromagnets

机译：大S Kagome晶格反铁磁体的有序和激发

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摘要

We systematically investigate the ground-state and the spectral properties of antiferromagnets on a kagome lattice with several common types of the planar anisotropy: XXZ, single-ion, and out-of-plane Dzyaloshinskii-Moriya. Our main focus is on the role of nonlinear, anharmonic terms, which are responsible for the quantum order-by-disorder effect and for the corresponding selection of the ground-state spin structure in many of these models. The XXZ and the single-ion anisotropy models exhibit a quantum phase transition between the q = 0 and the 3~(1/2) × 3~(1/2) states as a function of the anisotropy parameter, offering a rare example of the quantum order-by-disorder fluctuations favoring a ground state which is different from the one selected by thermal fluctuations. The nonlinear terms are also shown to be crucial for a very strong near-resonant decay phenomenon leading to the quasiparticle breakdown in the kagome-lattice antiferromagnets whose spectra are featuring flat or weakly dispersive modes. The effect is shown to persist even in the limit of large spin values and should be common to other frustrated magnets with flat branches of excitations. Model calculations of the spectrum of the S = 5/2 Fe-jarosite with Dzyaloshinskii-Moriya anisotropy provide a convincing and detailed characterization of the proposed scenario.
机译：我们系统地研究了具有几种常见类型的平面各向异性的kagome晶格上反铁磁体的基态和光谱特性：XXZ，单离子和面外Dzyaloshinskii-Moriya。我们的主要重点是非线性非调和项的作用，在许多模型中，这些非调和项负责量子逐序效应以及基态自旋结构的相应选择。 XXZ和单离子各向异性模型表现出q = 0和3〜（1/2）×3〜（1/2）态之间的量子相变，是各向异性参数的函数，提供了一个罕见的例子量子序无序波动有利于基态，该基态不同于热波动选择的基态。非线性项还显示出对于非常强的近共振衰变现象至关重要，这种衰变现象会导致频谱以平坦或弱色散模式为特征的kagome-lattice反铁磁体中的准粒子击穿。即使在较大的自旋值的极限中，该效应也将持续存在，并且应与其他具有平坦激励分支的受挫磁体相同。具有Dzyaloshinskii-Moriya各向异性的S = 5/2铁锰铁矿光谱的模型计算提供了令人信服的详细特征。

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