Mixed topological semimetals driven by orbital complexity in two-dimensional ferromagnets
Chengwang Niu, Jan-Philipp Hanke, Patrick M. Buhl, Hongbin Zhang,, Lukasz Plucinski, Daniel Wortmann, Stefan Bl\"ugel, Gustav Bihlmayer, and, Yuriy Mokrousov

TL;DR
This paper introduces a classification of topological semimetallic states in two-dimensional ferromagnets, revealing their emergence due to spin-orbit and exchange interactions, with implications for spintronics and magnetic control.
Contribution
It provides the first systematic analysis of mixed topological semimetals in 2D ferromagnets considering magnetization direction and realistic material stability.
Findings
Identification of topological semimetal states in 2D ferromagnets
Analysis of stability and emergence in realistic materials
Potential applications in current-induced orbital magnetism
Abstract
The concepts of Weyl fermions and topological semimetals emerging in three-dimensional momentum space are extensively explored owing to the vast variety of exotic properties that they give rise to. On the other hand, very little is known about semimetallic states emerging in two-dimensional magnetic materials, which present the foundation for both present and future information technology. Here, we demonstrate that including the magnetization direction into the topological analysis allows for a natural classification of topological semimetallic states that manifest in two-dimensional ferromagnets as a result of the interplay between spin-orbit and exchange interactions. We explore the emergence and stability of such mixed topological semimetals in realistic materials, and point out the perspectives of mixed topological states for current-induced orbital magnetism and current-induced…
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