- #1
Graham87
- 72
- 16
- Homework Statement
- See pic
- Relevant Equations
- See pic
I have made solutions a-d, but my fermi velocity seems too big.
Condensed Matter Physics - Fermi velocity, etc.
- Thread starter Graham87
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SUMMARY
The discussion centers on calculating Fermi velocity and mean electron speed in condensed matter physics, specifically using Fermi energy (Ef) values. The correct conversion from electron volts (eV) to joules (J) is crucial, as an incorrect value leads to inaccurate Fermi velocity calculations. The density of states function g(E) is also highlighted as essential for determining the mean speed of electrons, with a specific mention of the density of states in two dimensions being (L/2π)².
PREREQUISITES- Understanding of Fermi energy (Ef) in electron volts (eV)
- Knowledge of the density of states function g(E)
- Familiarity with the concept of Fermi velocity in condensed matter physics
- Basic principles of electron speed calculations in solid-state physics
- Research the conversion methods between electron volts (eV) and joules (J)
- Study the implications of the density of states function g(E) on electron behavior
- Learn about calculating mean electron speed using Fermi energy and density of states
- Explore advanced topics in condensed matter physics related to Fermi surfaces and electron distributions
Students and researchers in condensed matter physics, physicists focusing on electronic properties of materials, and anyone interested in understanding Fermi velocity and electron dynamics.
I have made solutions a-d, but my fermi velocity seems too big.
- #2
Gordianus
- 535
- 147
Have you used Ef= 5 J?
Remember, it's Ef= 5 eV.
Remember, it's Ef= 5 eV.
- #3
Graham87
- 72
- 16
Thanks! I realized that later. When I converted eV to joule I got the right Fermi velocity.Gordianus said:
However, how may I got mean electron speed?
I know that most of the electrons are not on the Fermi surface, and I need to find the mean speed of all electrons.
- #4
Gordianus
- 535
- 147
Do you know something about the density of states function g(E)?
- #5
Graham87
- 72
- 16
We know that density of states in 2D is (L/2pi)^2 ?Gordianus said:
So DOS is the no of electrons per unit area? So I just have to multiply DOS with unit area to find the total electrons?
But I will need the velocity of the total electrons?
Last edited:
- #6
Graham87
- 72
- 16
I think I solved most of my problem now.
However I’m not 100% sure about mean speed in a). I used the formula and plugged in Fermi energy there, but might there be another E that should be there instead?
Thanks
However I’m not 100% sure about mean speed in a). I used the formula and plugged in Fermi energy there, but might there be another E that should be there instead?
Thanks
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