Hedgehog-lattice spin texture in classical Heisenberg antiferromagnets on the breathing pyrochlore lattice

Abstract

The hedgehog lattice, a three-dimensional periodic array of magnetic monopoles and antimonopoles, is known to be realized in the presence of the Dzyaloshinskii-Moriya (DM) interaction. Here, we demonstrate by means of Monte Carlo simulations that the hedgehog lattice is induced by not the DM interaction but frustration in classical Heisenberg antiferromagnets on the breathing pyrochlore lattice. In the model, the breathing bond-alternation is characterized by the ratio of the nearest-neighbor (NN) antiferromagnetic exchange interaction for large tetrahedra to that for small ones, J1'/J1. A quadruple-q state with the ordering vector of q=(\pm 1/2,\pm 1/2,\pm 1/2), which is realized for a large third NN antiferromagnetic interaction along the bond direction J3, turns out to become the hedgehog-lattice state in the breathing case of J1'/J1 <1, while in the uniform case of J1'/J1 =1, it is a collinear state favored by thermal fluctuations. It is also found that in a magnetic field, the structure of the (1/2,1/2,1/2) hedgehog lattice is changed from cubic to tetragonal, resulting in a nonzero net spin chirality which in a metalic system, should yield a characteristic topological Hall effect.

16 pages, 12 figures, accepted in PRB

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• Noncoplanar orders and quantum disordered states in maple-leaf (anti)ferromagnets
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• Anisotropic spin model and multiple-$Q$ states in cubic systems
• Skyrmion crystal under $D_{3h}$ point group: Role of out-of-plane Dzyaloshinskii-Moriya interaction
• Complex magnetic phase diagram with a small phase pocket in a three-dimensional frustrated magnet CuInCr${}_4$S${}_8$
• Beyond Single Tetrahedron Physics of Breathing Pyrochlore Compound Ba3Yb2Zn5O11
• Zero-field miniature skyrmion crystal and chiral domain state in breathing-kagome antiferromagnets
• Theory of collective excitations in the quadruple-$Q$ magnetic hedgehog lattices
• Breathing pyrochlore magnet CuGaCr${}_4$S${}_8$: Magnetic, thermodynamic, and dielectric properties
• Mössbauer spectroscopy study of the magnetostructural and spin-state transitions in the breathing pyrochlore LiFeCr${}_4$O${}_8$
• Non-Collinear and Non-Coplanar Magnetic Orders in 1/1 Periodic Approximant to the Icosahedral Quasicrystal
• Spontaneous chirality selection and nonreciprocal spin wave in breathing-kagome antiferromagnets at zero field
• Meron-antimeron crystals in noncentrosymmetric itinerant magnets on a triangular lattice
• Double-$Q$ and quadruple-$Q$ instabilities at low-symmetric ordering wave vectors under tetragonal symmetry
• Effect of magnetic field on whirling-anti-whirling order in icosahedral-quasicrystal approximant
• Field-induced Multi-$\vec{\mathbf{Q}}$ States in a Pyrochlore Heisenberg Magnet