- #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
- Start date
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Homework Help Overview
The discussion revolves around concepts in condensed matter physics, specifically focusing on Fermi velocity and mean electron speed in relation to the density of states function.
Discussion Character
- Exploratory, Conceptual clarification, Mathematical reasoning
Approaches and Questions Raised
- Participants discuss the conversion of Fermi energy from electron volts to joules and its impact on Fermi velocity. Questions arise regarding the calculation of mean electron speed and the role of the density of states function in determining the total number of electrons and their velocities.
Discussion Status
Some participants have made progress in their calculations and are exploring the relationship between Fermi energy and mean speed. There is ongoing inquiry into the appropriate energy values to use in calculations, and multiple interpretations of the density of states function are being examined.
Contextual Notes
Participants are navigating the complexities of electron behavior in condensed matter systems, highlighting the need for clarity on definitions and assumptions related to energy states and electron velocities.
I have made solutions a-d, but my fermi velocity seems too big.
- #2
Gordianus
- 535
- 148
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
- 148
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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