In hydrogenated amorphous silicon why density of defect states following Gaussian distribution function and band tails are exponential distribution?
Your question is somewhat vague and in need of some clarification. Assuming that I have understood the actual question well, your assertion is not true in general. It is only true for a class of Hamiltonians according to the classification of the random-matrix theory. See the book 'Random Matrices' by Madan Lal Mehta (Elsevier, 2004).
Ramakrishna Madaka, I'd also like to ask you to restate your question more clearly. "Defect states" is by no means the same thing as "Amorphous materials". Maybe you include a citation and/or an example showing where you have encountered the fact(s) you're enquiring about.
@ Behnam Farid and @ Kai Fauth, sir here i have restated my question.
@ Ramakrishna Madaka I would also appreciate seeing a relevant reference before making any statement. I really wish to understand the problem correctly before all else. Since you are referring to "Gaussian distribution", my sense is that you may be referring to what is conventionally referred to as the 'level spacing', not the 'local density of states', or 'level density'; the distribution functions of the level spacing s corresponding to the well-known random-matrix ensembles all have a Gaussian term, of the form exp(-a s^2), a>0, multiplied by s^b, with b>0, reflecting what is known as the 'level repulsion'; a and b are different for different ensembles (regarding these issues, you might like to consult the book by Mehta to which I have referred in my first comment on this page). To summarise, let us first make sure that we are talking about the same thing.
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