Fractionalized spin excitations in the ferromagnetic edge state of graphene: Signature of the ferromagnetic Luttinger liquid
Fractionalized spin excitations in the ferromagnetic edge state of graphene: Signature of the ferromagnetic Luttinger liquid
复制标题
石墨烯铁磁边缘态的分段自旋激发：铁磁路廷格液体的特征
DOI：
10.1103/physrevb.102.224417
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发表时间：
2020
影响因子：
3.7
通讯作者：
Jian-Xin Li
中科院分区：
文献类型：
--
作者：
Zhao-Yang Dong;Wei Wang;Zhao-Long Gu;Shun-Li Yu;Jian-Xin Li
传统的磁性有序态，如铁磁体和反铁磁体的基本激发是磁振子。在这里，我们阐述了一种情况，在石墨烯的流动边缘铁磁状态下，完全没有定义良好的磁子，并且自旋激发谱在由平带边缘电子状态引起的石墨烯边缘铁磁状态下表现出完整的连续体。基于纠缠熵的进一步研究和有限尺寸分析，我们证明了除了斯通纳部分之外的连续统是由由磁振子定义的自旋1/2自旋产生的。磁有序态的自旋子连续统归因于边缘铁磁中的铁磁卢廷格液体。研究采用数值精确对角化方法，将相互作用的哈密顿量投影到平面带上。
The elementary excitations from the conventional magnetic ordered states, such as ferromagnets and antiferromagnets, are magnons. Here, we elaborate a case where the well-defined magnons are absent completely and the spin excitation spectra exhibit an entire continuum in the itinerant edge ferromagnetic state of graphene arising from the flatband edge electronic states. Based on the further studies of the entanglement entropy and finite-size analysis, we show that the continuum other than the Stoner part results from the spin-1/2 spinons deconfined from magnons. The spinon continuum in a magnetically ordered state is ascribed to a ferromagnetic Luttinger liquid in this edge ferromagnet. The investigation is carried out by using the numerical exact diagonalization method with a projection of the interacting Hamiltonian onto the flat band.