Band-to-Band Tunneling Calculator
Estimate band-to-band tunneling current from the junction field through a field-driven exponential: I[nA]=coeff·E·exp(-E0/E) with E=electricFieldMVPerCm>0 MV/cm, E0=characteristicFieldMVPerCm>0 MV/cm, coeff=tunnelingCoefficient>=0 nA/(MV/cm). Defaults E0=40 MV/cm, coeff=1 nA/(MV/cm). Simplified Kane-like model; neglects barrier shape, temperature, and trap-assisted contributions; valid only for E comparable to E0 and for the fitted material.
Description
Evaluate a fitted field-exponential band-to-band tunneling current magnitude from electric field and two empirical coefficients.
Estimate band-to-band tunneling current from the junction field through a field-driven exponential: I[nA]=coeff·E·exp(-E0/E) with E=electricFieldMVPerCm>0 MV/cm, E0=characteristicFieldMVPerCm>0 MV/cm, coeff=tunnelingCoefficient>=0 nA/(MV/cm). Defaults E0=40 MV/cm, coeff=1 nA/(MV/cm). Simplified Kane-like model; neglects barrier shape, temperature, and trap-assisted contributions; valid only for E comparable to E0 and for the fitted material.
When to use Band-to-Band Tunneling Calculator
- Evaluate a fitted field-exponential band-to-band tunneling current magnitude from electric field and two empirical coefficients.
- Compare fabrication or device scenarios while holding coefficients and unit conventions constant.
- Check a hand calculation before moving to a higher-fidelity process, circuit, or TCAD model.
How the calculation works
E0 controls exponential suppression while A fixes both scale and the declared nA output units.
I = A · E · exp(−E0/E) Interpreting the result
E0 controls exponential suppression while A fixes both scale and the declared nA output units.
Assumptions and limitations
- This is a compact empirical current law, not a full Kane current-density model; device area, band structure, barrier shape, and trap-assisted tunneling are omitted.
- Use parameters measured for the same material, geometry, temperature, and operating regime whenever the result informs engineering work.