New Microscopic Magnetic Hamiltonian for Exotic Spin Textures in Metals

Abstract

We derive a new microscopic spin Hamiltonian for Rashba-coupled double exchange metals. The Hamiltonian consists of anisotropic interactions of the Dzyaloshinskii-Moriya (DM) and Kitaev form, in addition to the standard isotropic term. We validate the spin Hamiltonian by comparing results with those on the exact spin-fermion model, and present its phase diagram using large scale Monte Carlo simulations. In addition to ferromagnetic, planar spiral and flux states, the model hosts skyrmion crystal and classical spin-liquid states characterized, respectively, by multiple peaks and a diffuse ring pattern in the spin structure factor. The filamentary domain wall structures in the spin-liquid state are in remarkable agreement with experimental data on thin films of MnSi-type B20 metals and transition metals and their alloys.

arXiv commentA sign mistake in the derivation is corrected in the 2nd version. Figures have been updated

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Cited by in corpus (12)

• Multiple skyrmion crystal phases by itinerant frustration in centrosymmetric tetragonal magnets
• Effective spin model in momentum space: Toward a systematic understanding of multiple-$Q$ instability by momentum-resolved anisotropic exchange interactions
• Skyrmion crystals in centrosymmetric triangular magnets under hexagonal and trigonal single-ion anisotropy
• Rashba-Zener mechanism for nanoscale skyrmions and topological metals
• Antiferromagnetic Skyrmions and Skyrmion Density Wave in Rashba Hund's Insulator
• Skyrmion Crystals in the Triangular Kondo Lattice Model
• Phase diagram of the square lattice Hubbard model with Rashba-type antisymmetric spin-orbit coupling
• Engineering antiferromagnetic skyrmions and antiskyrmions at metallic interfaces
• Skyrmion crystal under $D_{3h}$ point group: Role of out-of-plane Dzyaloshinskii-Moriya interaction
• Antiskyrmions and Bloch Skyrmions in Magnetic Dresselhaus Metals
• Photocontrol of spin scalar chirality in centrosymmetric itinerant magnets
• Spin-orbit coupled Hubbard skyrmions