diff --git a/.gitignore b/.gitignore index 978d395387cff7ad1a810f50f9ce4308ce517e0e..f108ac57776d030f5c7af04ab223fcc6d2935840 100644 --- a/.gitignore +++ b/.gitignore @@ -2,3 +2,15 @@ *.gz *.pdf + +*.aux + +*.fdb_latexmk + +*.out + +*.toc + +*.log + +*.fls diff --git a/06_pn_junction_diode.tex b/06_pn_junction_diode.tex index 965334f656e5740d07dfb31a965a7410439b8525..d403b37a81da0d6551211e3fb73da2a457ca6914 100644 --- a/06_pn_junction_diode.tex +++ b/06_pn_junction_diode.tex @@ -67,6 +67,13 @@ Or so simplify I_0 & = A q n_i^2 \left( \frac{D_n}{L_n N_A} + \frac{D_p}{L_p N_D} \right) \end{align} +where we use the electron diffusion length $L_n$ and hole diffusion length $L_p$: +\begin{alignat}{2} + L_n & = \sqrt{D_n\tau_n} & = W_p-x_p \\ + L_p & = \sqrt{D_p\tau_p} & = W_n-x_n +\end{alignat} + + Note that sometimes a non-ideality factor $n$ is used: \begin{equation} I = I_0\left(\exp\frac{qV}{nkT}-1\right)