# Density of state

1. ### mahdi

3
What is the solution of Dirac delta function of density of sate equation below:

DOS(E)=2/N ∑ ∫(1/dEj(k)/dk).δ[Ej(k)-E]dE

2. ### bsmile

27
are you sure this expression makes sense? Maybe I miss something?

3. ### Douasing

42
Hi,you can use " tex formula tex " to eidt your formula as follows

$$\frac{1}{2}Ax= b$$

4. ### mahdi

3
Thank you, I'm attaching the equation in word denouement.

File size:
23.2 KB
Views:
26
5. ### bsmile

27
This is basically the density of state at energy E from N_hex bands. The delta function filters out the energy spectrum at E_j(k_t)=E. 1/|dE/dk| gives density of state at E from the given band

1 person likes this.
6. ### mahdi

3
Do you mean the final equation become like this DOS(E)=E. 1/|dEj/dk|

please do you have a reference of this solution ?

7. ### bsmile

27
should be DOS(E)= sum_j (1/|dEj/dk|). Take a look at Ashcroft and Mermin's solid state physics

1 person likes this.