# Density of state

1. Mar 12, 2014

### mahdi

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. Mar 12, 2014

### bsmile

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

3. Mar 12, 2014

### Douasing

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

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

4. Mar 13, 2014

### mahdi

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

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5. Mar 13, 2014

### bsmile

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

6. Mar 13, 2014

### mahdi

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. Mar 13, 2014

### bsmile

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