# Current-induced motion in a skyrmion lattice

## Abstract

For a skyrmion lattice phase of chiral magnets, we compare predictions of the Landau-Lifshitz-Gilbert (LLG) and Thiele equations for the current-induced drift velocity for a given constant spin velocity. Instead of integrating the equations over a unit cell, we only perform an angle average, while retaining information on the radial dependence of velocity within the skyrmion. Since the skyrmion-lattice dynamics draws from magnetostatic, chiral, and exchange forces, we find that different scales are involved for the m = −1 and m = −2 skyrmions, a fact that might be useful in “tuning” scales of the drift velocity. We note that the Thiele equation yields less information than the LLG equation and explain why the translation mode has not yet been observed.

- Authors:

- Computational Nanoelectronics and Nano-device Laboratory, National University of Singapore, 4 Engineering Drive 3, Singapore 117576 (Singapore)

- Publication Date:

- OSTI Identifier:
- 22410158

- Resource Type:
- Journal Article

- Journal Name:
- Journal of Applied Physics

- Additional Journal Information:
- Journal Volume: 117; Journal Issue: 17; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0021-8979

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CHIRALITY; COMPARATIVE EVALUATIONS; DIFFERENTIAL EQUATIONS; ELECTRIC CURRENTS; MAGNETS; SKYRME POTENTIAL; SOLITONS; SPIN; VELOCITY

### Citation Formats

```
Martinez, J. C., E-mail: elejcm@nus.edu.sg, and Jalil, M. B. A.
```*Current-induced motion in a skyrmion lattice*. United States: N. p., 2015.
Web. doi:10.1063/1.4916754.

```
Martinez, J. C., E-mail: elejcm@nus.edu.sg, & Jalil, M. B. A.
```*Current-induced motion in a skyrmion lattice*. United States. doi:10.1063/1.4916754.

```
Martinez, J. C., E-mail: elejcm@nus.edu.sg, and Jalil, M. B. A. Thu .
"Current-induced motion in a skyrmion lattice". United States. doi:10.1063/1.4916754.
```

```
@article{osti_22410158,
```

title = {Current-induced motion in a skyrmion lattice},

author = {Martinez, J. C., E-mail: elejcm@nus.edu.sg and Jalil, M. B. A.},

abstractNote = {For a skyrmion lattice phase of chiral magnets, we compare predictions of the Landau-Lifshitz-Gilbert (LLG) and Thiele equations for the current-induced drift velocity for a given constant spin velocity. Instead of integrating the equations over a unit cell, we only perform an angle average, while retaining information on the radial dependence of velocity within the skyrmion. Since the skyrmion-lattice dynamics draws from magnetostatic, chiral, and exchange forces, we find that different scales are involved for the m = −1 and m = −2 skyrmions, a fact that might be useful in “tuning” scales of the drift velocity. We note that the Thiele equation yields less information than the LLG equation and explain why the translation mode has not yet been observed.},

doi = {10.1063/1.4916754},

journal = {Journal of Applied Physics},

issn = {0021-8979},

number = 17,

volume = 117,

place = {United States},

year = {2015},

month = {5}

}