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arXiv 2103.01047cond-mat.mtrl-sci
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自旋纹理中电子态的非交换K-理论统一拓扑表征

Unified topological characterization of electronic states in spin textures from noncommutative K-theory

Fabian R. Lux, Sumit Ghosh, Pascal Prass, Emil Prodan, Yuriy Mokrousov

AI总结:

本文利用非交换K-理论统一表征自旋纹理中的拓扑电子态,通过代数分类无需实空间或倒空间光滑量,为设计非周期或无序体系中的拓扑相提供新途径。

摘要:

自旋系统(如实空间中的斯格明子)的非平凡拓扑性可以促进复杂电子态的产生。在此,我们基于非交换K-理论方法,为自旋系统中拓扑电子态的出现提供了一个总体视角。通过认识到自旋纹理的可观测代数结构由非交换超环面的代数性质决定,我们达成了对拓扑电子态的统一理解,并预测这些电子态将在各种非共线构型中出现。我们方法的优势在于能够在不参考光滑实空间或倒空间量的情况下,对涌现拓扑态进行代数分类。这为在包含拓扑缺陷的非周期、无序或非光滑的自旋和电荷纹理中,进行拓扑相的理性设计开辟了道路。

英文摘要:

The nontrivial topology of spin systems such as skyrmions in real space can promote complex electronic states. Here, we provide a general viewpoint at the emergence of topological electronic states in spin systems based on the methods of noncommutative K-theory. By realizing that the structure of the observable algebra of spin textures is determined by the algebraic properties of the noncommutative hypertorus, we arrive at a unified understanding of topological electronic states which we predict to arise in various noncollinear setups. The power of our approach lies in an ability to categorize emergent topological states algebraically without referring to smooth real- or reciprocal-space quantities. This opens a way towards an educated design of topological phases in aperiodic, disordered, or non-smooth textures of spins and charges containing topological defects.

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。

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