Cubic and non-cubic multiple-q states in the Heisenberg antiferromagnet on the pyrochlore lattice

Abstract

The ordering of the classical Heisenberg model on the pyrochlore lattice with the antiferromagnetic nearest-neighbor interaction J1 and the ferromagnetic next-nearest-neighbour interaction J2 is investigated by means of a mean-field analysis and a Monte Carlo simulation. For a moderate J2/J1-value, the model exhibits a first-order transition into an incommensurate multiple-q ordered state where multiple Bragg peaks coexist in the spin structure factor. We show that there are two types of metastable multiple-q states, a cubic symmetric sextuple-q state and a non-cubic symmetric quadruple-q state. Based on a Monte Carlo simulation, we find that the cubic sextuple-q state appears just below the first-order transition temperature, while another transition from the cubic sextuple-q state to the non-cubic quadruple-q state occurs at a lower temperature.

17 pages, 13 figuares

References in corpus (9)

• Quantum Kagome antiferromagnet ZnCu3(OH)6Cl2
• Spin Freezing in Geometrically Frustrated Antiferromagnets with Weak Disorder
• Spin glass transition in geometrically frustrated antiferromagnets with weak disorder
• Mechanisms of degeneracy breaking in pyrochlore antiferromagnets
• Absent pinch points and emergent clusters: further neighbour interactions in the pyrochlore Heisenberg antiferromagnet
• Spin Dynamics in Pyrochlore Heisenberg Antiferromagnets
• Nematic, vector-multipole, and plateau-liquid states in the classical O(3) pyrochlore antiferromagnet with biquadratic interactions in applied magnetic field
• Partial order from disorder in a classical pyrochlore antiferromagnet
• Spin-glass transition in bond-disordered Heisenberg antiferromagnets coupled with local lattice distortions on a pyrochlore lattice

Cited by in corpus (33)

• Multiple-q states and skyrmion lattice of the triangular-lattice Heisenberg antiferromagnet under magnetic fields
• Topological spin crystals by itinerant frustration
• Noncoplanar multiple-$Q$ spin textures by itinerant frustration: Effects of single-ion anisotropy and bond-dependent anisotropy
• Quantum and Classical Phases of the Pyrochlore Heisenberg Model with Competing Interactions
• Phase Shift in Skyrmion Crystals
• Quantum Magnetism in Minerals
• Signatures of a gearwheel quantum spin liquid in a spin-$\frac{1}{2}$ pyrochlore molybdate Heisenberg antiferromagnet
• Order-by-Disorder in the XY Pyrochlore Antiferromagnet Revisited
• Novel phases in a square-lattice frustrated ferromagnet : 1/3-magnetisation plateau, helicoidal spin-liquid and vortex crystal
• Hedgehog-lattice spin texture in classical Heisenberg antiferromagnets on the breathing pyrochlore lattice
• Stabilization mechanisms of magnetic skyrmion crystal and multiple-$Q$ states based on momentum-resolved spin interactions
• Multiple-$q$ states of the $J_1$-$J_2$ classical honeycomb-lattice Heisenberg antiferromagnet under magnetic fields
• Magnetic clustering, half-moons, and shadow pinch points as signals of a proximate Coulomb phase in frustrated Heisenberg magnets
• Pseudo-Goldstone magnons in the frustrated S=3/2 Heisenberg helimagnet ZnCr2Se4 with a pyrochlore magnetic sublattice
• Fluctuation-Driven Selection at Criticality in a Frustrated Magnetic System: the Case of Multiple-k Partial Order on the Pyrochlore Lattice
• Spin ordering induced by lattice distortions in classical Heisenberg antiferromagnets on the breathing pyrochlore lattice
• Magnetic Hedgehog Lattice in a Centrosymmetric Cubic Metal
• Mott-Hubbard transition and spin-liquid state on the pyrochlore lattice
• Magnetic-field dependence of low-energy magnons, anisotropic heat conduction, and spontaneous relaxation of magnetic domains in the cubic helimagnet ZnCr2Se4
• Noncoplanar multi-k states in frustrated spinel and kagome magnets
• Anisotropic spin model and multiple-$Q$ states in cubic systems
• Unconventional magnetic phase separation in $\gamma$-CoV${}_2$O${}_6$
• On the multi-$\mathbf{q}$ characteristics of magnetic ground states of honeycomb cobalt oxides
• Discovery of new magnetic orders on pyrochlore spinels
• Degenerate ground state in the classical pyrochlore antiferromagnet Na${}_3$Mn(CO${}_3$)${}_2$Cl
• Sublattice Pairing in Pyrochlore Heisenberg Antiferromagnets
• Order, Disorder and Monopole Confinement in the Spin-$1/2$ XXZ Model on a Pyrochlore Tube
• Classical spin models of the windmill lattice and their relevance for PbCuTe${}_2$O${}_6$
• Broken-Symmetry Ground States of the Heisenberg model on the Pyrochlore Lattice
• Frustrated Kondo chains and glassy magnetic phases on the pyrochlore lattice
• Multi-$Q$ magnetic phases from frustration and chiral interactions
• Classification and correlation signatures of chiral spin liquids on the pyrochlore lattice
• Field-induced Multi-$\vec{\mathbf{Q}}$ States in a Pyrochlore Heisenberg Magnet