Realizing Quantitative Quasiparticle Modeling of Skyrmion Dynamics in Arbitrary Potentials
Maarten A Brems1, Tobias Sparmann1, Simon M Fröhlich1
1Johannes Gutenberg University Mainz, Institute of Physics, 55099 Mainz, Germany.
Physical Review Letters
|February 14, 2025
Summary
We calibrated Thiele model simulations for magnetic skyrmion dynamics, enabling quantitative analysis of pinning landscapes and diffusion. This allows precise inference of forces acting on skyrmions using ultralow current densities.
Area of Science:
- Condensed Matter Physics
- Materials Science
- Computational Physics
Background:
- Magnetic skyrmions are topologically protected spin textures with potential applications in data storage and neuromorphic computing.
- Simulating magnetic skyrmion dynamics accurately on large length and time scales is crucial for experimental validation and device design.
- Existing models often lack key parameters to bridge the gap between simulation and experimental observations.
Purpose of the Study:
- To develop a fully quantitative Thiele model for magnetic skyrmion dynamics.
- To enable simulations on experimentally relevant large length and time scales.
- To determine spatial pinning energy landscapes for skyrmion diffusion studies.
Main Methods:
- Ascertaining missing parameters to calibrate experimental and simulation timescales.
- Calibrating current-induced forces acting on magnetic skyrmions.
- Utilizing the Lifson-Jackson framework for diffusion quantification in arbitrary potentials.
Main Results:
- Demonstrated fully quantitative Thiele model simulations of magnetic skyrmion dynamics.
- Achieved simulations on previously unattainable large length and time scales.
- Determined complete spatial pinning energy landscapes.
- Inferred total force on skyrmions by isolating ultralow current density (10^6 A/m^2) generated torques.
Conclusions:
- The developed method allows for precise quantification of experimental studies on skyrmion diffusion.
- Enables accurate modeling of skyrmion behavior under ultralow current densities.
- Provides a pathway for direct inference of forces acting on skyrmions, advancing quantitative magnetic skyrmion research.
Related Concept Videos
The Quantum-Mechanical Model of an Atom
41.8K
Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra.
41.8K
Electron Orbital Model
67.4K
Orbitals are the areas outside of the atomic nucleus where electrons are most likely to reside. They are characterized by different energy levels, shapes, and three-dimensional orientations. The location of electrons is described most generally by a shell or principal energy level, then by a subshell within each shell, and finally, by individual orbitals found within the subshells.
The first shell is closest to the nucleus, and it has only one subshell with a single spherical orbital called the...
The first shell is closest to the nucleus, and it has only one subshell with a single spherical orbital called the...
67.4K
Magnetic Vector Potential
534
In electrostatics, the electric field can be written as the negative gradient of the potential. In magnetostatics, the zero divergence of the magnetic field ensures that the magnetic field can be expressed as the curl of a vector potential. This potential is known as the magnetic vector potential.
Consider an ideal solenoid with n turns per unit length and radius R. If I is the current through the solenoid, the magnetic field inside the solenoid is expressed as the product of vacuum...
Consider an ideal solenoid with n turns per unit length and radius R. If I is the current through the solenoid, the magnetic field inside the solenoid is expressed as the product of vacuum...
534
Atomic Nuclei: Nuclear Spin State Overview
848
NMR-active nuclei have energy levels called 'spin states' that are associated with the orientations of their nuclear magnetic moments. In the absence of a magnetic field, the nuclear magnetic moments are randomly oriented, and the spin states are degenerate. When an external magnetic field is applied, the spin states have only 2 + 1 orientations available to them. A proton with = ½ has two available orientations. Similarly, for a quadrupolar nucleus with a nuclear spin value of...
848
Crystal Field Theory - Tetrahedral and Square Planar Complexes
41.2K
Tetrahedral Complexes
Crystal field theory (CFT) is applicable to molecules in geometries other than octahedral. In octahedral complexes, the lobes of the dx2−y2 and dz2 orbitals point directly at the ligands. For tetrahedral complexes, the d orbitals remain in place, but with only four ligands located between the axes. None of the orbitals points directly at the tetrahedral ligands. However, the dx2−y2 and dz2 orbitals (along the Cartesian axes) overlap with the ligands less than the dxy,...
Crystal field theory (CFT) is applicable to molecules in geometries other than octahedral. In octahedral complexes, the lobes of the dx2−y2 and dz2 orbitals point directly at the ligands. For tetrahedral complexes, the d orbitals remain in place, but with only four ligands located between the axes. None of the orbitals points directly at the tetrahedral ligands. However, the dx2−y2 and dz2 orbitals (along the Cartesian axes) overlap with the ligands less than the dxy,...
41.2K
Crystal Field Theory - Octahedral Complexes
26.1K
Crystal Field Theory
To explain the observed behavior of transition metal complexes (such as colors), a model involving electrostatic interactions between the electrons from the ligands and the electrons in the unhybridized d orbitals of the central metal atom has been developed. This electrostatic model is crystal field theory (CFT). It helps to understand, interpret, and predict the colors, magnetic behavior, and some structures of coordination compounds of transition metals.
CFT focuses on...
To explain the observed behavior of transition metal complexes (such as colors), a model involving electrostatic interactions between the electrons from the ligands and the electrons in the unhybridized d orbitals of the central metal atom has been developed. This electrostatic model is crystal field theory (CFT). It helps to understand, interpret, and predict the colors, magnetic behavior, and some structures of coordination compounds of transition metals.
CFT focuses on...
26.1K


