「$ifapplyEgofT」：修訂間差異

於 2020年4月12日 (日) 13:23 的修訂

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:

  $E g (T) = E g (0) - \frac{γ \times T^{2}}{T + β}$

Therefore, to enable the temperature dependent Eg in the simulation, we need to add
.

$ifapplyEgofT
 $E g (0)_{1}$    $γ$    $β$ 
 $E g (0)_{2}$    $γ$    $β$ 
 $E g (0)_{3}$    $γ$    $β$ 
 $E g (0)_{4}$    $γ$    $β$ 
...
...
to layer N

If some material's coefficient cannot be found, please make $γ = 0$ . So the program will keep the bandgap of this region as constant.
Note that

Eg(0) is the Eg at 0K, not 300K. So if the parameters source is not the same, 
  $E g (300) = E g (0) - \frac{γ \times 30 0^{2}}{300 + β}$  may not be the same as the Eg in the $parameters. Please be careful to use this command.

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

@@ 第1行： / 第1行： @@
 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 T^{2} }{ T + \beta}   </math>
+   <math>  Eg(T) = Eg(0) - \frac{\gamma \times T^{2} }{ T + \beta}   </math>
 Therefore, to enable the temperature dependent Eg in the simulation, we need to add <br>.
@@ 第17行： / 第17行： @@
 Note that <br>
   Eg(0) is the Eg at 0K, not 300K. So if the parameters source is not the same,
-   <math>  Eg(300) = Eg(0) - \frac{\gamma 300^{2} }{ 300 + \beta} </math> may not be the same as the Eg in the [[$parameters]]. Please be careful to use this command.
+   <math>  Eg(300) = Eg(0) - \frac{\gamma \times 300^{2} }{ 300 + \beta} </math> may not be the same as the Eg in the [[$parameters]]. Please be careful to use this command.
 <br><br>
   For advanced users who use libmodpar.f90. This function may have problem if the bandgap is changed in libmodpar.f90

「$ifapplyEgofT」：修訂間差異

於 2020年4月12日 (日) 13:23 的修訂

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