檢視 .vg -pl.info 的原始碼

 C_e_N, V_HH_M, V_LH_L, nr , Epp
 For n=1,C_e_N
   for m=1,V_HH_M
     <math> C_{n},~ V_{hh,m}, ~|\langle \phi_{e,n},\phi_{hh,m}\rangle |^{2},~ E_{n,e}-E_{hh,m},~ E_{e,n},~E_{fn},~E_{fp},~m_{e},~m_hh, N_{2D,DOS,r} </math>
   end 
 end
 For n=1,C_e_N
   for m=1,V_LH_L
     <math> C_{n},~ V_{lh,m}, ~|\langle \phi_{e,n},\phi_{lh,m}\rangle |^{2},~ E_{n,e}-E_{lh,m},~ E_{e,n},~E_{fn},~E_{fp},~m_{e},~m_lh, N_{2D,DOS,r} </math>
   end 
 end


The PL of e to HH can be calculated by 
 Rsp=0.0 
 <math> const = \frac{1}{3} \frac{e_{0}^{2} * n_{r}}{2\pi\epsilon_{0}*m_{0}*c^3\hbar^2} * Ep   </math>
 <math> N_{2D} = \frac{ m_r^* }{\pi\hbar^2} </math>
 <math>For~~ n=1,~C_{e,n} </math>
   <math>for~~ m=1,V_{HH,m} </math>
      <math>for~~ E_{\hbar\omega}=0,~~ Emax </math>  
          <math>for~~ Ek = Ei - 5\sigma~~ ,~~ Ei+5\sigma </math>  
             <math> If Ek >  E_{n,e}-E_{hh,m} =E_{g,eff} then  </math>    
                <math> Ee =  E_{e,n} +(Ek-E_{g,eff}) * \frac{m_r^{*}}{m_{e}^{*}} </math> 
                <math> Ehh = E_{hh,m}-(Ek-E_{g,eff}) * \frac{m_r^{*}}{m_{hh}^{*}} </math>         
                <math> fe = \frac{1}{1+exp(\frac{Ee-Efn}{k_BT})} </math>
                <math> fh = \frac{1}{1+exp(\frac{Efp-Ehh}{k_BT})} </math>
                <math> Rsp(Ei) = Rsp(Ei) + const*dE * Ei * |\langle\phi_{e,n} |\phi_{hh,m} \rangle |^2 * fe * fh* \frac{1}{\sqrt{2\pi} \sigma} exp( -\frac{(Ek-Ei)^2}{2*\sigma^2}) * N_{2D} </math>
             <math>end ~if</math>
          <math>end</math>
      <math>end </math>
   <math>end </math>
 <math>end</math>


The PL of e to LH can be calculated by 
 Rsp=0.0 
 <math>For~~ n=1,~C_{e,n} </math>
   <math>for~~ m=1,V_{LH,m} </math>
      <math>for~~ E_{\hbar\omega}=0,~~ Emax </math>  
          <math>for~~ Ek = Ei - 5\sigma~~ ,~~ Ei+5\sigma </math>  
             <math> If Ek >  E_{g,eff} = E_{n,e}-E_{lh,m}   </math>    
                <math> Ee =  E_{e,n} +(Ek-E_{g,eff}) * \frac{m_r^{*}}{m_{e}^{*}} </math> 
                <math> Elh = E_{lh,m}-(Ek-E_{g,eff}) * \frac{m_r^{*}}{m_{lh}^{*}} </math>         
                <math> fe = \frac{1}{1+exp(\frac{Ee-Efn}{k_BT})} </math>
                <math> fh = \frac{1}{1+exp(\frac{Efp-Elh}{k_BT})} </math>
                <math> Rsp(Ei) = Rsp(Ei) + const*dE * Ei * |\langle\phi_{e,n} |\phi_{lh,m} \rangle |^2 * fe * fh* \frac{1}{\sqrt{2\pi} \sigma} exp( -\frac{(Ek-Ei)^2}{2*\sigma^2}) * N_{2D} </math>
             <math>end ~~if</math>
          <math>end</math>
      <math>end </math>
   <math>end </math>
 <math>end</math>