Semiconductor Andreev Reflection Probability Calculator
Evaluate zero-energy ideal single-channel BTK Andreev probability 1/(1+2Z²)², not normal transparency 1/(1+Z²), finite-energy/temperature or topological test.
Description
The ideal single-channel BTK model has a zero-energy Andreev-reflection probability specified by its barrier parameter.
The ideal single-channel BTK model has a zero-energy Andreev-reflection probability specified by its barrier parameter.1
Its expression differs from normal-state interface transparency and excludes finite-energy and temperature effects.
When to use Semiconductor Andreev Reflection Probability Calculator
Use this tool when you need to calculate the stated measurement summary or conditional model from matched observations. Prepare independently matched device or specimen measurements, units, branch selection, and model or calibration conventions.
How to use Semiconductor Andreev Reflection Probability Calculator and understand its results
- Prepare independently matched device or specimen measurements, units, branch selection, and model or calibration conventions.
- Enter callerBtkBarrierZ, following the field table and calculation rules below, then run the tool.
- Read zeroEnergyBtkAndreevProbabilities. Use the output table and calculation rules below to interpret units, signs, crossings, and flags.
- Correct any input issues and run again. Before using a successful result, review its units, signs, evidence coverage, and stated model or reference assumptions.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| callerBtkBarrierZ | Caller btk barrier z | list of number | Required |
Require nonnegative finite barrier Z values and evaluate 1/(1+2Z²)² for each. Zero barrier yields one; an empty list is accepted and returns no probabilities.
A(0)=1/(1+2Z²)² Read these symbols with the field meanings and branch or reference rules above.
| Output field | Meaning | Value type |
|---|---|---|
| zeroEnergyBtkAndreevProbabilities | Zero energy btk andreev probabilities | list of number |
{
"input": {
"callerBtkBarrierZ": [
0,
1,
2
]
},
"output": {
"zeroEnergyBtkAndreevProbabilities": [
1,
0.1111111111111111,
0.012345679012345678
]
}
}Limitations and assumptions
Measurements, branch identification, units, and model applicability must be independently established. Results do not supply universal material constants, a complete physical model, or operating-condition approval.
Missing required fields, unknown fields, wrong types, and violated calculation rules return input issues. Numeric values must be finite; nonfinite numeric outputs are rejected. Arrays must be dense, with no missing cells. Numeric lists allow at most 10000 entries, subject to smaller tool-specific bounds above.
Alternative or Complementary methods
For a related task, use Semiconductor Majorana Zero Mode Energy Calculator: Subgap eigenvalues near zero are spectral candidates requiring independent physical interpretation. Their proximity alone cannot distinguish Majorana modes from other bound states. For a complementary step, use Semiconductor Josephson Junction Capacitance Calculator: Charging energy provides a convention-dependent estimate of total island capacitance. Separating an independently measured stray contribution makes the inferred Josephson junction capacitance explicit.
References
Similar or alternative tools
- Semiconductor Majorana Zero Mode Energy Calculator
Subgap eigenvalues near zero are spectral candidates requiring independent physical interpretation. Their proximity alone cannot distinguish Majorana modes from other bound states.
- Semiconductor Josephson Junction Capacitance Calculator
Charging energy provides a convention-dependent estimate of total island capacitance. Separating an independently measured stray contribution makes the inferred Josephson junction capacitance explicit.