Numerical evidences of fractionalization in an easy-axis two-spin heisenberg antiferromagnet.

Numerical evidences of fractionalization in an easy-axis two-spin heisenberg antiferromagnet.
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易轴双自旋海森堡反铁磁体中分数化的数值证据。

DOI:
10.1103/physrevlett.94.146805
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发表时间:
2004
影响因子:
8.6
通讯作者:
L. Balents
L. Balents
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
D. Sheng;L. Balents

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基于精确的数值计算,我们表明,广义kagome自旋模型在易轴极限表现出自旋液体,拓扑简并基态在很宽的相空间范围内,包括一个点,在该模型是相当于一个海森堡模型与纯粹的两个自旋交换相互作用。我们进一步提出了一个明确的计算差距(和色散)的“vison”激发,指数衰减的自旋和vison两点激励。这些都是去精细化、碎裂化和有间隙的自旋子的标志。从自旋液体状态的相变的性质,由负的四自旋“势”项调谐的磁有序状态也讨论了在低能量谱的光。这些结果极大地扩展了自旋液相在Rokhsar和Kivelson正溶点附近的范围和理论观点。
Based on exact numerical calculations, we show that the generalized kagome spin model in the easy-axis limit exhibits a spin liquid, topologically degenerate ground state over a broad range of phase space, including a point at which the model is equivalent to a Heisenberg model with purely two-spin exchange interactions. We further present an explicit calculation of the gap (and dispersion) of "vison" excitations, and exponentially decaying spin and vison two-point correlators. These are hallmarks of deconfined, fractionalized, and gapped spinons. The nature of the phase transition from the spin-liquid state to a magnetic ordered state tuned by a negative four-spin "potential" term is also discussed in light of the low energy spectrum. These results greatly expand the range and the theoretical view of the spin-liquid phase in the vicinity of the Rokhsar and Kivelson exactly soluble point.