A microscopic model for spiral ordering along (110) on the MnSi lattice

Abstract

We study an extended Heisenberg model on the MnSi lattice. In the cubic B20 crystal structure of MnSi, Mn atoms form lattices of of corner-shared equilateral triangles. We find an ubiquitous spiral ordering along (110) for J1 <0, and J2=J3 >0, where J1, J2, and J3 are 1st, 2nd and 3rd nearest neighbor Heisenberg interactions, respectively. While the ordering direction of (110) is reasonably robust to the presence of the Dzyaloshinskii-Moriya interaction, it can be shifted to the (111) direction with the introduction of a magnetic anisotropy term for small J2/|J1|. We discuss the possible relevance of these results to the partially ordered state recently reported in MnSi.

arXiv comment5 pages, 4 figures

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Cited by in corpus (7)

• Multi-shell contribution to the Dzyaloshinskii-Moriya spiralling in MnSi-type crystals
• Spin ice on the trillium lattice studied by Monte Carlo calculations
• Geometric frustration on the trillium lattice in a magnetic metal-organic framework
• Scrutinizing Hall effect in Mn${}_{1-x}$Fe${}_x$Si: Fermi surface evolution and hidden quantum criticality
• Continuous spin excitations in the three-dimensional frustrated magnet K2Ni2(SO4)3
• Origin and consequence of an unpinned helical magnet: application to partial order in MnSi under pressure
• Magnetic molecular orbitals in MnSi