Solid State Physics: Constructing Brillouin Zones & Fermi Surfaces

pengseanghor
Messages
1
Reaction score
0
Dear every body. I have one problem of my homeworks that I can solve. Please help me!
Thank you.

Construct in k-spaceof the first 4 Brilloun zones of a square lattice in the extended zone scheme & show that the 1st, 2nd, 3rd, 4th Brilloun zones have all the same area.

Construct these pieces in the reduced zone scheme & the rough shape of the Fermi surface for the system with 4 free electrons/atom.
 
Physics news on Phys.org
this could help
Code: 
[URL]http://www.sjsu.edu/faculty/watkins/brillouin.htm
[/URL]

radius of the fermi sphere is related to the number density.
u'll have to take care about the shape near the BZ boundaries
 
Last edited by a moderator:
Thread 'Need help understanding this figure on energy levels'

Thread 'Need help understanding this figure on energy levels'

This figure is from "Introduction to Quantum Mechanics" by Griffiths (3rd edition). It is available to download. It is from page 142. I am hoping the usual people on this site will give me a hand understanding what is going on in the figure. After the equation (4.50) it says "It is customary to introduce the principal quantum number, ##n##, which simply orders the allowed energies, starting with 1 for the ground state. (see the figure)" I still don't understand the figure :( Here is...
View full post »
Thread 'Understanding how to "tack on" the time wiggle factor'

Thread 'Understanding how to "tack on" the time wiggle factor'

The last problem I posted on QM made it into advanced homework help, that is why I am putting it here. I am sorry for any hassle imposed on the moderators by myself. Part (a) is quite easy. We get $$\sigma_1 = 2\lambda, \mathbf{v}_1 = \begin{pmatrix} 0 \\ 0 \\ 1 \end{pmatrix} \sigma_2 = \lambda, \mathbf{v}_2 = \begin{pmatrix} 1/\sqrt{2} \\ 1/\sqrt{2} \\ 0 \end{pmatrix} \sigma_3 = -\lambda, \mathbf{v}_3 = \begin{pmatrix} 1/\sqrt{2} \\ -1/\sqrt{2} \\ 0 \end{pmatrix} $$ There are two ways...
View full post »

Similar threads

Some questions about reciprocal lattice vectors
Replies
3
Views
2K
The kinetic energy of the electrons outside the FBZ
Replies
1
Views
2K
Energy gap between brillouin zones?
Replies
7
Views
2K
How Is the Polyacetylene Chain Structured in a 1D Lattice Model?
Replies
12
Views
2K
Brillouin Zone Size: Debate Settled
Replies
3
Views
14K
Solid State Physics: X-Ray scattering
Replies
5
Views
2K
Please give me adivice on solid state physics learning resources
Replies
2
Views
2K
A Why is the Brillouin zone a torus?
Replies
18
Views
8K
I Fe Lattice: Band Structure & Fermi Surface Location
Replies
1
Views
2K
Understanding Brillouin Zones - What do they represent physically?
Replies
2
Views
3K

Hot Threads

Recent Insights

Back
Top