Skyrmions and anomalous Hall effect in a Dzyaloshinskii-Moriya spiral magnet

2009/03/19 by Sudo Yi, Su Do Yi, Shigeki Onoda +2 · 4 citations
Materials Science · Physics and Astronomy · #Advanced Condensed Matter Physics #Anisotropy #Condensed matter physics #Field (mathematics) #Hall effect #Magnet #Magnetic and transport properties of perovskites and related materials #Magnetic field #Magnetic properties of thin films #Magnetization #Phase (matter) #Phase diagram #Physics #Quantum mechanics #Skyrmion #Spin (aerodynamics) #Spiral (railway) #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.80.054416

published as Phys. Rev. B 80, 054416 (2009)

arxiv created 2009/03/19 · openalex publication_date 2009/08/25 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Monte Carlo simulation study of a classical spin model with Dzyalosinskii-Moriya interaction and the spin anisotropy under the magnetic field is presented. We found a rich phase diagram containing the multiple spin spiral (or Skyrme crystal) phases of square, rectangular, and hexagonal symmetries in addition to the spiral spin state. The Skyrme crystal states are stabilized by a spin anisotropy or a magnetic field. The Hall conductivity \ensuremathσ_xy is calculated within the sd model for each of the phases. Applying a magnetic field induces nonzero uniform chirality and the anomalous Hall conductivity simultaneously. The field dependence of \ensuremathσ_xy is shown to be a sensitive probe of the underlying magnetic structure. Relevance of the present results to several recent experiments on MnSi is discussed.

Citations

• Anomalous Hall conductivity due to vector spin chirality in the weak coupling regime
• Crystalline phases in chiral ferromagnets: Destabilization of helical order
• Chirality-Driven Anomalous Hall Effect in Weak Coupling Regime
• Charge transport in manganites: Hopping conduction, the anomalous Hall effect, and universal scaling
• Chirality induced anomalous-Hall effect in helical spin crystals
• Topological Hall Effect and Berry Phase in Magnetic Nanostructures
• Berry Phase Theory of the Anomalous Hall Effect: Application to Colossal Magnetoresistance Manganites

Cited by

• Melting of hexagonal Skyrmion states in chiral magnets
• Multiple skyrmion crystal phases by itinerant frustration in centrosymmetric tetragonal magnets
• Noncoplanar multiple-Q spin textures by itinerant frustration: Effects of single-ion anisotropy and bond-dependent anisotropy
• Emergent Topological Hall Effect at a Charge‐Transfer Interface

Related

• Exact non-circular symmetric N-skyrmions in helical magnets without inversion symmetry
• Chirality induced anomalous-Hall effect in helical spin crystals
• Phase-Space Berry Phases in Chiral Magnets: Dzyaloshinskii-Moriya Interaction and the Charge of Skyrmions
• Interplay of electric and magnetic fields in skyrmion phases of the classical Heisenberg model on a square lattice
• Topological Contributions to the Anomalous Nernst and Hall Effect in the Chiral Double-Helimagnetic System