Semiconductor Skyrmion Size Calculator
Extract actual radial skyrmion boundary crossings from normalized magnetization, all crossings retained; no fixed exchange/DMI size estimate or topological classification.
Description
A skyrmion size observation can be defined by where a radial magnetization trace reaches a declared boundary value.
A skyrmion size observation can be defined by where a radial magnetization trace reaches a declared boundary value.1
Multiple observed boundaries remain separate radii and diameters.
When to use Semiconductor Skyrmion Size Calculator
Use this tool when you need to locate all observed threshold crossings on a selected branch. Prepare measured device or specimen records under independently matched branch, temperature, frame, and unit conventions.
How to use Semiconductor Skyrmion Size Calculator and understand its results
- Prepare measured device or specimen records under independently matched branch, temperature, frame, and unit conventions.
- Enter observedSkyrmionRadialDistancesNm, observedOutOfPlaneMagnetization, callerDomainBoundaryMagnetization, following the field table and rules below, then run the tool.
- Read observedSkyrmionBoundaryRadiiNm, observedSkyrmionDiametersNm. Use the output meanings below to interpret units, signs, flags, and any nested result fields.
- Correct reported input issues and run again. For a successful result, check the stated evidence coverage and assumptions before using it in your review.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| observedSkyrmionRadialDistancesNm | Observed skyrmion radial distances nm | list of number | Required |
| observedOutOfPlaneMagnetization | Observed out of plane magnetization | list of number | Required |
| callerDomainBoundaryMagnetization | Caller domain boundary magnetization | number | Required |
Use at least two strictly increasing nonnegative radial distances in nanometres and aligned magnetization values in [−1,1]. The declared boundary must be in [−1,1]. Locate all piecewise-linear crossings and double each radius for diameter; an absent crossing returns empty lists.
diameter_j=2crossingRadius_j Symbols follow the input and output meanings and the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| observedSkyrmionBoundaryRadiiNm | Observed skyrmion boundary radii nm | list of number |
| observedSkyrmionDiametersNm | Observed skyrmion diameters nm | list of number |
{
"input": {
"observedSkyrmionRadialDistancesNm": [
0,
1,
2
],
"observedOutOfPlaneMagnetization": [
-1,
0,
1
],
"callerDomainBoundaryMagnetization": 0
},
"output": {
"observedSkyrmionBoundaryRadiiNm": [
1
],
"observedSkyrmionDiametersNm": [
2
]
}
}Limitations and assumptions
A supplied criterion defines these observed crossings. Multiple crossings, plateaus, and missing crossings are retained; the tool does not establish a unique device rating or recommend operating or test conditions.
Missing required fields, unknown fields, wrong types, and violated calculation rules are input issues. Numeric values must be finite; nonfinite results are rejected. Evidence arrays must be dense, with no missing cells. Numeric observation lists allow at most 10,000 entries, subject to any smaller bounds stated above.
Alternative or Complementary methods
For a related review, use Semiconductor Skyrmion Velocity Vs Current Calculator: Tracked skyrmion displacement and elapsed time give signed velocity at each measured current density. Fitting those velocities summarizes a chosen branch’s current response. For a complementary step, use Semiconductor Spintronic Spin Diffusion Length Calculator: An exponential spatial spin-signal decay can be fitted in logarithmic response space. The reciprocal negative slope defines an apparent spin diffusion length.
References
-
Semiconductor Skyrmion Size Calculator — tool.io
Similar or alternative tools
- Semiconductor Skyrmion Velocity Vs Current Calculator
Tracked skyrmion displacement and elapsed time give signed velocity at each measured current density. Fitting those velocities summarizes a chosen branch’s current response.
- Semiconductor Spintronic Spin Diffusion Length Calculator
An exponential spatial spin-signal decay can be fitted in logarithmic response space. The reciprocal negative slope defines an apparent spin diffusion length.