论文标题

通过磁杂质检测量子自旋液体中的对称分数化

Detecting symmetry fractionalization in gapped quantum spin liquids by magnetic impurities

论文作者

Lu, Shuangyuan, Lu, Yuan-Ming

论文摘要

我们研究了二维晶格上的Z2旋转液体中自旋1/2磁杂质的围绕效应。我们发现,如果将杂质放置在高对称位置,则杂质位点对称组的非平凡的Spinon分数化类别必然会导致在Kondo筛选方面中的非kramer Doublet,并受到相关晶体对称性的保护。这与通常的近野效应中的无特征筛选阶段形成鲜明对比。我们通过一个可解决的模型和大N理论证明了这种受对称保护的拓扑脱落性。基于这种效果,我们讨论如何使用稀磁杂质极限的热力学测量来检测Gapped Z2自旋液体中的对称分数。

We study the Kondo effect of spin-1/2 magnetic impurities in gapped Z2 spin liquids on two-dimensional lattices. We find that if the impurity is placed at a high-symmetry location, a nontrivial spinon fractionalization class of the impurity site symmetry group will necessarily lead to a non-Kramers doublet in the Kondo screening regime, protected by associated crystalline symmetries. This is in sharp contrast to a featureless screening phase in the usual Kondo effect. We demonstrate this symmetry-protected topological degeneracy by an exactly solvable model and by the large-N theory. Based on this effect, we discuss how thermodynamic measurements in the limit of dilute magnetic impurities can be used to detect symmetry fractionalization in gapped Z2 spin liquids.

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