Finite-temperature stability of skyrmion crystals in frustrated magnets: Role of sixfold anisotropy and uniform spin mode in momentum space

Abstract

We study the finite-temperature stability of skyrmion crystals in frustrated magnets by analyzing the momentum-space exchange interaction of a classical Heisenberg model on a triangular lattice. Our analysis identifies two key momentum-space features that play a crucial role in stabilizing the skyrmion crystal phase. The first is the sixfold anisotropy in the momentum-space exchange interaction, which acts as a locking potential favoring triple-$Q$ skyrmion crystals. Monte Carlo simulations reveal that a larger anisotropy tends to enhance the stability region of the skyrmion crystal in the temperature--magnetic-field phase diagram. The second factor is the momentum-space energy related to the uniform spin mode, which correlates with the emergence of the skyrmion crystal phase at finite temperatures. These results provide a further understanding of the stabilization mechanism of the skyrmion crystal phase in frustrated magnets and will be useful for the design of skyrmion-hosting materials.

arXiv comment6 pages, 7 figures

References in corpus (32)

• Skyrmion Lattice in a Chiral Magnet
• Exchange Monte Carlo Method and Application to Spin Glass Simulations
• Advances in the Physics of Magnetic Skyrmions and Perspective for Technology
• Topological Hall effect in the A-phase of MnSi
• Spin Transfer Torques in MnSi at Ultra-low Current Densities
• Magnetic skyrmion logic gates: conversion, duplication and merging of skyrmions
• Skyrmion lattice with a giant topological Hall effect in a frustrated triangular-lattice magnet
• Spin Anisotropy and Quantum Hall Effect in the Kagome Lattice - Chiral Spin State based on a Ferromagnet-
• Multiple-q states and skyrmion lattice of the triangular-lattice Heisenberg antiferromagnet under magnetic fields
• Multiply periodic states and isolated skyrmions in an anisotropic frustrated magnet
• Skyrmion-electronics: Writing, deleting, reading and processing magnetic skyrmions toward spintronic applications
• Scalar spin chirality and quantum Hall effect on a triangular lattice
• Nanometric square skyrmion lattice in a centrosymmetric tetragonal magnet
• Magnetic skyrmion-based synaptic devices
• Ginzburg-Landau theory for skyrmions in inversion-symmetric magnets with competing interactions
• Robust metastable skyrmions and their triangular-square lattice-structural transition in a high-temperature chiral magnet
• Effective bilinear-biquadratic model for noncoplanar ordering in itinerant magnets
• Topological stability versus thermal agitation in a metastable magnetic skyrmion lattice
• Skyrmion Qubits: A New Class of Quantum Logic Elements Based on Nanoscale Magnetization
• Quantized Anomalous Hall Effects in Skyrmion Crystal
• Bubble and Skyrmion Crystals in Frustrated Magnets with Easy-Axis Anisotropy
• Néel-type skyrmion lattice in tetragonal polar magnet VOSe${}_2$O${}_5$
• Topological Nernst effect of the two-dimensional skyrmion lattice
• Skyrmion Logic System for Large-Scale Reversible Computation
• Pattern recognition with neuromorphic computing using magnetic-field induced dynamics of skyrmions
• Role of higher-order exchange interactions for skyrmion stability
• Universal quantum computation based on nanoscale skyrmion helicity qubits in frustrated magnets
• Zoology of multiple-Q spin textures in a centrosymmetric tetragonal magnet with itinerant electrons
• Metastable skyrmion lattices governed by magnetic disorder and anisotropy in $\beta$-Mn-type chiral magnets
• Stabilization mechanisms of magnetic skyrmion crystal and multiple-$Q$ states based on momentum-resolved spin interactions
• Skyrmion crystal in the RKKY system on the two-dimensional triangular lattice
• The dynamics of local magnetic moments induced by itinerant Weyl electrons