|Mar8-10, 07:16 AM||#1|
Fermi Surface & Band Diagram Relationship?
Can anyone help explain how one can apply information say from an energy band diagram of an element/compound to its respective fermi surface / "sphere"?
I understand there is a direct relationship, however, I can seem to physical interpret how one is able to say look at the energy band diagram and come out with a rough representation of what the fermi surface should look like...
Are there any resources that go in depth to this?
Any help is much appreciated.
|Mar8-10, 09:24 AM||#2|
The highest occupied level (k_max) of a band-diagram corresponds to a point on the Fermi Surface. You could make a band diagram along any direction in the Brillouin Zone and the number of directions is infinite. So you could create a fermi surface if you determined k_max in all directions.
|Mar8-10, 01:37 PM||#3|
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To be able to get an idea of the actual Fermi surface, you need the full band structure, i.e. the E vs k diagram. For most real material, it can look like a "spaghetti" band structure, where various band lines are drawn along various crystallographic directions. For example, the "standard" band structure for Cu may look like this:
The Fermi surface will be formed by the occupied band that crosses the Fermi energy (E=0). So the k-values of the occupied band at the Fermi surface will form the Fermi surface.
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