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.
Don't forget to set a bookmark for tool.io!
Privacy | Imprint | Cookies