Exploring topological spin order by inverse Hamiltonian design: A new stabilization mechanism for square skyrmion crystals
arXiv:2407.01159 · doi:10.1103/PhysRevB.110.L220405
Abstract
We propose a framework to construct a real-space spin model based on the inverse Hamiltonian design. The method provides an efficient way of realizing unconventional topological spin textures by optimizing the interaction parameters. In order to demonstrate its usefulness, we show that the tuning of the long-range exchange interactions can give rise to a square skyrmion crystal even without factors that have been previously identified as prerequisites for its stabilization, such as Dzyaloshinskii-Moriya interaction, multi-spin interaction, and bond-dependent magnetic anisotropy. Moreover, we elucidate the essence for the emergence of the square skyrmion crystal by classifying the parameter sets we get by the method. Since the present framework by adopting machine learning techniques can be universally applied to any magnetic system irrespective of lattice structures, it serves as the efficient construction of an effective spin model and the understanding of the stabilization mechanisms for unconventional topological spin orders.
arXiv comment6 pages, 4 figures
References in corpus (32)
- Skyrmion Lattice in a Chiral Magnet
- Exchange Monte Carlo Method and Application to Spin Glass Simulations
- Spontaneous Skyrmion Ground States in Magnetic Metals
- Topological Hall effect in the A-phase of MnSi
- Skyrmion lattice with a giant topological Hall effect in a frustrated triangular-lattice magnet
- Skyrmion Lattice in a Doped Semiconductor
- 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
- Long wavelength helimagnetic order and skyrmion lattice phase in Cu2OSeO3
- Skyrmion-electronics: Writing, deleting, reading and processing magnetic skyrmions toward spintronic applications
- Skyrmion phase and competing magnetic orders on a breathing kagome lattice
- Skyrmions and Anomalous Hall Effect in a Dzyloshinskii-Moriya Spiral Magnet
- Nanometric square skyrmion lattice in a centrosymmetric tetragonal magnet
- Ginzburg-Landau theory for skyrmions in inversion-symmetric magnets with competing interactions
- Effective bilinear-biquadratic model for noncoplanar ordering in itinerant magnets
- Skyrmion Qubits: A New Class of Quantum Logic Elements Based on Nanoscale Magnetization
- Quantized Anomalous Hall Effects in Skyrmion Crystal
- Néel-type skyrmion lattice in tetragonal polar magnet VOSeO
- Meron, skyrmion, and vortex crystals in centrosymmetric tetragonal magnets
- Topological Nernst effect of the two-dimensional skyrmion lattice
- Skyrmion Crystal from RKKY Interaction Mediated by 2D Electron Gas
- Square skyrmion crystal in centrosymmetric itinerant magnets
- Thermodynamically stable skyrmion lattice in tetragonal frustrated antiferromagnet with dipolar interaction
- Néel- and Bloch-Type Magnetic Vortices in Rashba Metals
- Multi-step topological transitions among meron and skyrmion crystals in a centrosymmetric magnet
- Construction of Hamiltonians by supervised learning of energy and entanglement spectra
- Widely-sweeping magnetic field-temperature phase diagrams for skyrmion-hosting centrosymmetric tetragonal magnets
- Method for Estimating Spin-Spin Interactions from Magnetization Curves
- Inverse Hamiltonian design by automatic differentiation
- Machine learning assisted derivation of effective low energy models for metallic magnets
- Magnetic bubble crystal in tetragonal magnets