$ifimpact ion

$ifimpact_ion is a function to turn on the impact ionization. It is a field and current dependent function which will rely on the electric field in the simulation program.

The impact ionization generation rate is decided by

$G_{impact} = \frac{|Jn|}{e} \times \alpha_n +\frac{|Jp|}{e} \times \alpha_p$

$\alpha_{n} = a_{n}*exp\left( - \left| \left(\frac{b_{n}|Jn|}{\vec{E}\cdot \vec{Jn}}\right)^{c_{n}} \right|\right)$

$\alpha_{n} = a_{p}*exp\left( - \left| \left(\frac{b_{p}|Jp|}{\vec{E}\cdot \vec{Jp}}\right)^{c_{p}} \right|\right)$

The way to input this command is

$ifimpact_ion
$a_{n}~~ b_{n}~~ c_{n}~~ a_{p}~~ b_{p}~~ c_{p}$
$a_{n}~~ b_{n}~~ c_{n}~~ a_{p}~~ b_{p}~~ c_{p}$
$a_{n}~~ b_{n}~~ c_{n}~~ a_{p}~~ b_{p}~~ c_{p}$
$a_{n}~~ b_{n}~~ c_{n}~~ a_{p}~~ b_{p}~~ c_{p}$
...
...
...  repeat for n-layers