Coupling of the triple-Q state to the atomic lattice by anisotropic symmetric exchange

Abstract

We identify the triple-Q (3Q) state as magnetic ground state in Pd/Mn and Rh/Mn bilayers on Re(0001) using spin-polarized scanning tunneling microscopy and density functional theory. An atomistic model reveals that in general the 3Q state with tetrahedral magnetic order and zero net spin moment is coupled to a hexagonal atomic lattice in a highly symmetric orientation via the anisotropic symmetric exchange interaction, whereas other spin-orbit coupling terms cancel due to symmetry. Our experiments are in agreement with the predicted orientation of the 3Q state. A distortion from the ideal tetrahedral angles leads to other orientations of the 3Q state which, however, results in a reduced topological orbital magnetization compared to the ideal 3Q state.

15 pages, 4 figures

References in corpus (9)

• Scalar spin chirality and quantum Hall effect on a triangular lattice
• Spontaneous skyrmionic lattice from anisotropic symmetric exchange in a Ni-halide monolayer
• Spontaneous topological Hall effect induced by non-coplanar antiferromagnetic order in intercalated van der Waals materials
• Nanometric skyrmion lattice from anisotropic exchange interactions in a centrosymmetric host
• Role of higher-order exchange interactions for skyrmion stability
• Discovery of magnetic single- and triple-Q states in Mn/Re(0001)
• Topological superconductivity induced by a triple-Q magnetic structure
• Topological-chiral magnetic interactions in ultrathin films at surfaces
• Stacking-dependent spin interactions in Pd/Fe bilayers on Re(0001)

Cited by in corpus (7)

• Antiferromagnetic order of topological orbital moments in atomic-scale skyrmion lattices
• Anomalous valley Hall effect in monolayer chromium-based triple-Q magnets
• Hybrid skyrmion and anti-skyrmion phases in polar $C_{4v}$ systems
• Field-induced transformation between triangular and square skyrmion crystals in a tetragonal polar magnet
• Strain-driven domain wall network with chiral junctions in an antiferromagnet
• ${\mathbb{Z}}_2$ Vortex Crystals in Tetrahedral Antiferromagnets: Fractional Charges and Topological Magnons
• Entropy-driven phase transition in a non-collinear antiferromagnet due to higher-order exchange interactions