「$usemubydopeT」：修訂間差異

於 2024年11月21日 (四) 09:44 的最新修訂

$usemubydopeT is to enable the temperature and carrier density dependent mobility module with the predefined function. The function is designed for each region. So if total n regions is used, then you will need to setup n regions. The format is

$usemubydopeT
Type_R1  p1 p2 p3 p4 p5.....p12
Type_R2  p1 p2 p3 p4 p5.....p12
Type_R3  p1 p2 p3 p4 p5.....p12
...
...
... 
Type_RN  p1 p2 p3 p4 .....p12

Type

0: Use the original mobility defined in parameter setions
1:  $μ_{n} = p 1 \times {(\frac{T}{p 3})}^{p 2}$  , and  $μ_{p} = p 4 \times {(\frac{T}{p 6})}^{p 5}$ 
2:  $μ_{n} = p 1 + (\frac{P 2 - P 1}{1 + (\frac{N_{d}}{p 3})^{p 4}})$  , and  $μ_{p} = p 5 + (\frac{P 6 - P 5}{1 + (\frac{N_{a}}{p 7})^{p 8}})$ 
3:  $μ_{n, 0} = p 1 + (\frac{P 2 - P 1}{1 + (\frac{N_{d}}{p 3})^{p 4}})$ ,   $μ_{n} = μ_{n, 0} \times {(\frac{T}{p 5})}^{p 6}$  , and 
    $μ_{p, 0} = p 7 + (\frac{P 8 - P 7}{1 + (\frac{N_{d}}{p 9})^{p 10}})$ ,   $μ_{p} = μ_{p, 0} \times {(\frac{T}{p 11})}^{p 12}$ .

If the mobility is for activated dopant density then

21:  $μ_{n} = p 1 + (\frac{P 2 - P 1}{1 + (\frac{N_{d}^{+}}{p 3})^{p 4}})$  , and  $μ_{p} = p 5 + (\frac{P 6 - P 5}{1 + (\frac{N_{a}^{-}}{p 7})^{p 8}})$ 
31:  $μ_{n, 0} = p 1 + (\frac{P 2 - P 1}{1 + (\frac{N_{d}^{+}}{p 3})^{p 4}})$ ,   $μ_{n} = μ_{n, 0} \times {(\frac{T}{p 5})}^{p 6}$  , and 
     $μ_{p, 0} = p 7 + (\frac{P 8 - P 7}{1 + (\frac{N_{a}^{-}}{p 9})^{p 10}})$ ,   $μ_{p} = μ_{p, 0} \times {(\frac{T}{p 11})}^{p 12}$ .

The $usemubydopeT setting in GUI interface is here
Press Thermal, check the box and set the fields as needed!

@@ 第13行： / 第13行： @@
 Type
-: Use the original nonradiative lifetime defined in parameter setions
+: Use the original mobility defined in parameter setions
-: <math> \mu_{n} = p1 \times (\frac{T}{p3}) ^{p2} </math> , and <math> \mu_{p} = \m_{n} </math>
+: <math> \mu_{n} = p1 \times \left(\frac{T}{p3}\right) ^{p2} </math> , and <math> \mu_{p} = p4 \times \left(\frac{T}{p6}\right) ^{p5} </math>
-: <math> \m_{n} = p1 \times (\frac{T}{p5}) ^{p3} </math> , and <math> \mu_{n} = p2 \times (\frac{T}{p5}) ^{p4} </math>
+: <math> \mu_{n} = p1 +  \left(\frac{P2-P1}{1+(\frac{N_{d}}{p3}) ^{p4}} \right) </math> , and <math> \mu_{p} = p5 +  \left(\frac{P6-P5}{1+(\frac{N_{a}}{p7}) ^{p8}} \right) </math>
-: <math> \m_{n} = p1 +  \left(\frac{P2-P1}{1+(\frac{N_{d}}{p3}) ^{p4}} \right) </math> , and <math> \mu_{p} = \tau_{n} </math>
+: <math> \mu_{n,0} = p1 +  \left(\frac{P2-P1}{1+(\frac{N_{d}}{p3}) ^{p4}} \right) </math>,  <math>\mu_{n} = \mu_{n,0} \times \left(\frac{T}{p5}\right) ^{p6} </math> , and
-: <math> \m_{n} = p1 +  \left(\frac{P2-P1}{1+(\frac{N_{d}}{p3}) ^{p4}} \right) </math> , and <math> \mu_{p} = p5 +  \left(\frac{P6-P5}{1+(\frac{N_{a}}{p7}) ^{p8}} \right) </math>
+    <math> \mu_{p,0} = p7 +  \left(\frac{P8-P7}{1+(\frac{N_{d}}{p9}) ^{p10}} \right) </math>,  <math>\mu_{p} = \mu_{p,0} \times \left(\frac{T}{p11}\right) ^{p12} </math>.
-: <math> \m_{n,0} = p1 +  \left(\frac{P2-P1}{1+(\frac{N_{d}}{p3}) ^{p4}} \right) </math>,  <math>\mu_{n} = \tau_{n,0} \times (\frac{T}{p5}) ^{p6} </math> , and <math> \tau_{p} = \tau_{n} </math>
-: <math> \m_{n,0} = p1 +  \left(\frac{P2-P1}{1+(\frac{N_{d}}{p3}) ^{p4}} \right) </math>,  <math>\mu_{n} = \tau_{n,0} \times (\frac{T}{p5}) ^{p6} </math> , and
-     <math> \m_{p,0} = p7 +  \left(\frac{P8-P7}{1+(\frac{N_{d}}{p9}) ^{p10}} \right) </math>,  <math>\mu_{p} = \tau_{p,0} \times (\frac{T}{p11}) ^{p12} </math>.
 If the mobility is for activated dopant density then
-: <math> \mu_{n} = p1 +  \left(\frac{P2-P1}{1+(\frac{N_{d}^{+}}{p3}) ^{p4}} \right) </math> , and <math> \mu_{p} = \mu_{n} </math>
+: <math> \mu_{n} = p1 +  \left(\frac{P2-P1}{1+(\frac{N_{d}^{+}}{p3}) ^{p4}} \right) </math> , and <math> \mu_{p} = p5 +  \left(\frac{P6-P5}{1+(\frac{N_{a}^{-}}{p7}) ^{p8}} \right) </math>
-: <math> \mu_{n} = p1 +  \left(\frac{P2-P1}{1+(\frac{N_{d}^{+}}{p3}) ^{p4}} \right) </math> , and <math> \mu_{p} = p5 +  \left(\frac{P6-P5}{1+(\frac{N_{a}^{-1}}{p7}) ^{p8}} \right) </math>
+: <math> \mu_{n,0} = p1 +  \left(\frac{P2-P1}{1+(\frac{N_{d}^{+}}{p3}) ^{p4}} \right) </math>,  <math>\mu_{n} = \mu_{n,0} \times \left(\frac{T}{p5}\right) ^{p6} </math> , and
-: <math> \mu_{n,0} = p1 +  \left(\frac{P2-P1}{1+(\frac{N_{d}^{+}}{p3}) ^{p4}} \right) </math>,  <math>\mu_{n} = \mu{n,0} \times (\frac{T}{p5}) ^{p6} </math> , and <math> \tau_{p} = \tau_{n} </math>
+      <math> \mu_{p,0} = p7 +  \left(\frac{P8-P7}{1+(\frac{N_{a}^{-}}{p9}) ^{p10}} \right) </math>,  <math>\mu_{p} = \mu_{p,0} \times \left(\frac{T}{p11}\right) ^{p12} </math>.
-: <math> \mu_{n,0} = p1 +  \left(\frac{P2-P1}{1+(\frac{N_{d}^{+}}{p3}) ^{p4}} \right) </math>,  <math>\mu_{n} = \mu_{n,0} \times (\frac{T}{p5}) ^{p6} </math> , and
-      <math> \mu_{p,0} = p7 +  \left(\frac{P8-P7}{1+(\frac{N_{a}^{-}}{p9}) ^{p10}} \right) </math>,  <math>\mu_{p} = \mu_{p,0} \times (\frac{T}{p11}) ^{p12} </math>.
+<br>'''<big><big>The $usemubydopeT setting in GUI interface is here</big></big>''' <br>
+Press '''Thermal''', check the box and set the fields as needed!<br>
+[[檔案:2D_usemubydopeT_fig1.jpg|1200px]]

「$usemubydopeT」：修訂間差異

於 2024年11月21日 (四) 09:44 的最新修訂

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