Magnetic orderings from spin-orbit coupled electrons on kagome lattice

Abstract

We investigate magnetic orderings on kagome lattice numerically from the tight-binding Hamiltonian of electrons, governed by the filling factor and spin-orbit coupling (SOC) of electrons. We find that even a simple kagome lattice model can host both ferromagnetic and noncollinear antiferromagnetic orderings depending on the electron filling, reflecting gap structures in the Dirac and flat bands characteristic to the kagome lattice. Kane--Mele- or Rashba-type SOC tends to stabilize noncollinear orderings, such as magnetic spirals and 120-degree antiferromagnetic orderings, due to the effective Dzyaloshinskii--Moriya interaction from SOC. The obtained phase structure helps qualitative understanding of magnetic orderings in various kagome-layered materials with Weyl or Dirac electrons.

5 pages, 5 figures + Supplemental Material (3 pages, 5 figures)

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• Scalar spin chirality and quantum Hall effect on a triangular lattice
• Magnetic Susceptibility of the Kagome Antiferromagnet ZnCu3(OH)6Cl2
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Cited by in corpus (7)

• Large ordered moment with strong easy-plane anisotropy and vortex-domain pattern in the kagome ferromagnet Fe${}_3$Sn
• Effective model analysis of intrinsic spin Hall effect with magnetism in stacked-kagome Weyl semimetal Co3Sn2S2
• Interfacial Dzyaloshinskii-Moriya interaction in nonmagnetic/noncollinear-antiferromagnetic bilayers
• Effective Tight-Binding Model of Compensated Ferrimagnetic Weyl Semimetal with Spontaneous Orbital Magnetization
• Magnetization-Tunable Topological Phase Transitions in Ferromagnetic Kagome Monolayers of Co${}_3$X${}_3$Y${}_2$ ($X=\mathrm{Sn},\mathrm{Pb}$; $Y=\mathrm{S},\mathrm{Se}$)
• Kagome edge states under lattice termination, spin-orbit coupling, and magnetic order
• Collinear ferromagnetism with reduced moment length in kagome magnet Nd3Ru4Al12