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comment How is contact resistivity defined for a Schottky contact, or the Schottky barrier height for an ohmic contact?
Thank you! This is exactly what I was looking for. Is the reason why the IV curve linearizes due to the fact that after a certain forward bias, a very large proportion of the carriers will be at an energy greater or equal to the SBH, and any additional bias doesn't largely change the ability for carriers to emit over the barrier, but rather just changes the velocity? Also, when you say very-forward-bias are you referring to greater or equal bias to achieve flat band conditions in the semiconductor?
comment Can surface dipoles/charges change the work function of a metal?
Thanks for the explanation. I was wondering, why is the top of the conduction band of the metal never ever shown? I have not seen one diagram where it is drawn. Is there a physical reason for this?
comment Can surface dipoles/charges change the work function of a metal?
Sure, here you go:
comment How does thermal broadening of the Fermi Function cause electron coherence loss?
The coherence calculation this is used for is the thermal diffusion length. $$L_T=\sqrt{D\tau_T}=\sqrt{\frac{Dh}{k_BT}}$$ At distances (or device dimensions being inspected) become longer than the thermal diffusion length, the electrons in the system can no longer be considered coherent.
comment Why does the density of states in a solid scale as $\sqrt{E}$?
Does this relationship hold for atypical band k-space shapes like graphene (linear, forming cones in 3d)? In other words, would the DoS for graphene in 3 dimensions scale as $E^2$, since $\alpha=1$?