檢視 $ifapplyEgofT 的原始碼

Since the DDCC has the capability of solving the Poisson, drift-diffusion, and thermal solver self-consistently. It will need to consider the possibility of bandgap narrowing with temperature. Therefore, we can apply the temperature-dependent coefficients for the material's bandgap. Usually, the temperature-dependent bandgap can be expressed as: <br>
 
  <math>  Eg(T) = Eg(0) - \frac{\gamma \times T^{2} }{ T + \beta}   </math>

In the program, we don't set Eg(0), instead, we set Eg(300)

  <math>  Eg(T) = Eg(300) + \frac{\gamma \times 300^{2} }{ 300 + \beta}  - \frac{\gamma \times T^{2} }{ T + \beta}   </math>

Therefore, to enable the temperature-dependent Eg in the simulation, we need to add <br>. 

 $ifapplyEgofT
 <math>Eg(300)_{1} </math>  <math> \gamma </math>  <math> \beta </math>
 <math>Eg(300)_{2} </math>  <math> \gamma </math>  <math> \beta </math>
 <math>Eg(300)_{3} </math>  <math> \gamma </math>  <math> \beta </math>
 <math>Eg(300)_{4} </math>  <math> \gamma </math>  <math> \beta </math>
 ...
 ...
 to layer N

If some material's coefficient cannot be found, please make  <math> \gamma = 0 </math>. So the program will keep the bandgap of this region as constant. <br>
Note that <br> 
 Eg(300) is the Eg at 300K. With this modified equation, we can make the Eg is always the same as the original Eg at 300K

<br><br>
 For advanced users who use libmodpar.f90. This function may have a problem if the bandgap is changed in libmodpar.f90

The related commands are:  [[$ifapplytauofT]], [[$ifapplymuofT]], [[$ifapplyEgofT]], [[$ifTversusJ]]