在手性多通道近藤模型中操纵非阿贝尔任意子
Manipulating Non-Abelian Anyons in a Chiral Multichannel Kondo Model
AI总结:
本文通过将多杂质多通道手性近藤模型映射为单杂质模型,首次数值证明非阿贝尔任意子可存在于无能隙电子模型中,并提取其拓扑信息。
摘要:
非阿贝尔任意子是带隙拓扑模型中的分数激发,被认为可以描述某些拓扑超导体或量子霍尔态。在此,我们提供了首个数值证据,表明它们也作为独立实体出现在无能隙电子模型中。从多杂质多通道手性近藤模型出发,我们引入了一种新的映射,将其映射到适合Wilson数值重整化群的单杂质模型。我们提取了其谱简并结构和分数熵,并直接从杂质自旋-自旋关联中计算了$F$矩阵,这些矩阵编码了任意子编织的拓扑信息。近期在利用手性边缘实现多通道近藤系统方面取得的重大进展,可能使任意子比预期更早成为现实。
英文摘要:
Non-Abelian anyons are fractional excitations of gapped topological models believed to describe certain topological superconductors or quantum Hall states. Here, we provide the first numerical evidence that they emerge as independent entities also in gapless electronic models. Starting from a multi-impurity multichannel chiral Kondo model, we introduce a novel mapping to a single-impurity model, amenable to Wilson's numerical renormalization group. We extract its spectral degeneracy structure and fractional entropy, and calculate the $F$ matrices, which encode the topological information regarding braiding of anyons, directly from impurity spin-spin correlations. Impressive recent advances on realizing multichannel Kondo systems with chiral edges may thus bring anyons into reality sooner than expected.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。