$gaussiantraps

Function gaussian-distribution traps.
Note that currently Gaussian-distribution traps only consider how carrier traps. The recombination with opposite carriers are not well considered. So it is only suitable for condition where the lifetime is very long.

Format

$gaussiantraps
 1
 type Nt Et σ degeneracy $\tau_n~~~ \tau_p$

Parameter Explanation

• type : type = 1 is electron trap and type = 2 is hole trap. Type 201 is the hole trap relatives to Ev. The program will will convert 201 to 2 by adding Eg to the set Et. type 11 is the filled able electron traps and type 21 are the filled able hole traps. type 211 is Et relative to Ev.

• Nt : total trap concerntraion. The positive and negative value is decided by type. There is no need to put (+ or -) here. For example 1.0e16 $(cm^{-3})$
  

• Et : the depth of traps central. $(eV)$. The position of Et is decided by related position to Ec. For example, if trap is 1.1eV below conduction band, -1.1eV is used. Hole trap is using the same definition as electron trap, which is related to Ec also.
  

• σ : the FWHM of trap. $(eV)$
  

• degeneracy the degeneracy of traps we usually set as 1.
  

• $\tau_n$ : nonradiative lifetime of electrons. $(Sec.)$
  

• $\tau_p$ : nonradiative lifetime of holes. $(Sec.)$
  

Note that usually $\tau = \frac{1}{N_{t}v_{th}\sigma}$. Therefore, when Nt is increased, the non-radiative lifetime should decrease as well. Users need to adjust this by themselves.

Example

$gaussiantraps
1
1 9e16 -3.3 0.12 1 1e-8 1e-8 
1 9e16 -3.3 0.12 1 1e-8 1e-8 
2 1e18 -3.3 0.12 1 1e-8 1e-8 
2 1e18 -3.3 0.12 1 1e-8 1e-8
201 1e18 0.1 0.12 1 1e-8 1e-8

Note If Eg=3.4eV, 201 1e18 0.1 0.12 1 1e-8 1e-8 ,  0.1-3.4 = -3.3eV which is equal to 2 1e18 -3.3 0.12 1 1e-8 1e-8

Related commands: $traps (2D) , $multitraps