Semiconductor Spintronic Spin Lifetime Calculator

Infer matched spin relaxation times from independently measured diffusion lengths/diffusivities λ²/D, distinct from spatial signal-fit length or momentum scattering lifetime.

Description

A diffusion-relaxation model relates a matched spin diffusion length and diffusivity to a spin lifetime.

A diffusion-relaxation model relates a matched spin diffusion length and diffusivity to a spin lifetime.1

This calculation uses already established values rather than fitting a spatial signal.

When to use Semiconductor Spintronic Spin Lifetime Calculator

Use this tool when you need to reproduce the stated calculation from measured records or independently selected model inputs. Prepare measured device or specimen records under independently matched branch, temperature, frame, and unit conventions.

How to use Semiconductor Spintronic Spin Lifetime Calculator and understand its results

  1. Prepare measured device or specimen records under independently matched branch, temperature, frame, and unit conventions.
  2. Enter observedSpinDiffusionLengthsM, callerMatchedSpinDiffusivitiesM2Second, following the field table and rules below, then run the tool.
  3. Read inferredSpinLifetimesSeconds. Use the output meanings below to interpret units, signs, flags, and any nested result fields.
  4. 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 fieldMeaningValue typeRequirement
observedSpinDiffusionLengthsMObserved spin diffusion lengths mlist of numberRequired
callerMatchedSpinDiffusivitiesM2SecondCaller matched spin diffusivities m2 secondlist of numberRequired

Use aligned nonempty positive diffusion lengths in metres and positive matched diffusivities in square metres per second. Square each length and divide by its diffusivity.

τ_i=λ_i²/D_i

Symbols follow the input and output meanings and the calculation rules above.

Output fieldMeaningValue type
inferredSpinLifetimesSecondsInferred spin lifetimes secondslist of number
json
{
  "input": {
    "observedSpinDiffusionLengthsM": [
      2,
      3
    ],
    "callerMatchedSpinDiffusivitiesM2Second": [
      1,
      3
    ]
  },
  "output": {
    "inferredSpinLifetimesSeconds": [
      4,
      3
    ]
  }
}

Limitations and assumptions

Matched measurement branch, material state, calibration, and conventions must be independently established. Results do not certify device performance or operating 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 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. For a complementary step, use Semiconductor Spintronic Spin Injection Efficiency Calculator: Spin-resolved injected currents define a signed polarization. The sign indicates which supplied spin channel carries more current.

References

  1. Semiconductor Spintronic Spin Lifetime Calculator — tool.io

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