Magnetic Topological Kagome Systems

Abstract

The recently discovered material Co${}_3$Sn${}_2$S${}_2$ shows an impressive behavior of the quantum anomalous Hall (QAH) conductivity driven by the interplay between ferromagnetism in the $z$ direction and antiferromagnetism in the $xy$ plane. Motivated by these facts, first we build and study a spin-1/2 model to describe the magnetism of Co-atoms on the Kagome planes. Then, we include conduction electrons which are coupled to the spins-1/2 through a strong Hund's coupling. The spin-orbit coupling results in topological low-energy bands. For 2/3 on-site occupancy, we find a topological transition from a QAH ferromagnetic insulating phase with Chern number one to a quantum spin Hall (QSH) antiferromagnetic phase. The QAH phase is metallic when slightly changing the on-site occupancy. To account for temperature effects, we include fluctuations in the direction of the Hund's coupling. We show how the Hall conductivity can now smoothly evolve when spins develop a $120^o$ antiferromagnetism in the $xy$ plane and can synchronize with the ferromagnetic fraction.

arXiv commentVersion to be published in Physical Review Research, Rapid Communication

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Cited by in corpus (6)

• Unusual exchange couplings and intermediate temperature Weyl state in Co3Sn2S2
• Interacting Stochastic Topology and Mott Transition from Light Response
• Magnetic orderings from spin-orbit coupled electrons on kagome lattice
• Spin-orbit coupling in the kagome lattice with flux and time-reversal symmetry
• Hubbard model on the kagome lattice with time-reversal invariant flux and spin-orbit coupling
• Multiple topological corner states in the continuum of extended kagome lattice