diff --git a/src/14_doping_and_devices.md b/src/14_doping_and_devices.md index 49d958720f350a869f2c54ff6c91f6e6245de9ed..ab4f68ccf09256447bc431e03c20e0845ef5677a 100644 --- a/src/14_doping_and_devices.md +++ b/src/14_doping_and_devices.md @@ -240,9 +240,12 @@ _add fig Fig. 18.2 from the book_. You may assume that the band gap of the $Al_{ 1. Sketch the shape of the potential for electrons and holes 2. If we want to design a bandgap 0.1$eV$ larger than that of bulk $GaAs$, what size of $L$ do we need? -3. Calculate the density of state of electron and holes in the quantum well +3. Write down the Schrödinger's equation for electrons and holes (separating $\bf{k}$ in its three components $k_x$ +, $k_y$ and $k_z$) ??? hint It is a 2D electron gas with confined levels in the third direction -4. Why could this structure be more useful as a laser than a normal pn-junction? -5. What would be the advantage of doping the $Al_{x}Ga_{1−x}As$ compared to the $GaAs$? +4. Find the eigenvalues +5. Calculate the density of state of electron and holes in the quantum well +6. Why could this structure be more useful as a laser than a normal pn-junction? +7. What would be the advantage of doping the $Al_{x}Ga_{1−x}As$ compared to the $GaAs$?