Hello-
I feel that this is a "graduate-level" question, so I hope that this question is not found to be insultingly easy.
Can someone help me gain an understanding of why bandgap and electron effective mass in semiconductors are proportional to one another (e.g. trend of C, Si, Ge...
If effective mass in schrodinger equation takes into account for coupling by other bands or so to say by other electrons, and in this way we don't care about effect of other electrons and deal with lattice potential.
Homework Statement
Here is the problem:
http://img413.imageshack.us/img413/748/64my8.th.jpg
The Attempt at a Solution
I got the effective mass. That's trivial. My question is, what are these graphs actually of? The horizontal and vertical axes are not labeled.
Is it an energy...
could anyone elucidate on how Ashcroft and Mermin get
\sqrt{\frac{det M}{M_{zz}}}
for the cyclotron effective mass (page 571)?
Is this true for all energy contours or only certain ones? And if that's the case which because they don't seem to specify?
thanks.
Hello, I am a junior undergrad taking an advanced senior/1st yr grad lab. I've been having some difficulty with a few points in the lab materials we were given (we are analyzing the reflectance spectra for GaAs/AlGaAs quantum wells). We were given the effective mass of the electrons, heavy and...
Homework Statement
Calculate the effective mass for a free electron.
Homework Equations
The Attempt at a Solution
I know the above equation comes from, in the case of the free electron dispersion relation, .
However I'm not at all sure how to go about calculating it for a...