Image:NewvanHove.png

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The density of states g(E) for a typical three-dimensional solid showing van Hove singularities indicated by black arrows. The function g(E) tends to have square-root singularities since g(E) \approx \int \frac{dE}{\vec{\nabla}E} and since for a spherical Fermi surface E = \hbar^2 k^2/2m so that \vec{\nabla}E = \hbar^2 k/m = \hbar \sqrt{ \frac{2E}{m}}.

Created by Alison Chaiken using xmgrace.

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I, the copyright holder of this work, hereby publish it under the following licenses:
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Date/TimeDimensionsUserComment
current04:30, 8 January 2006792×612 (12 KB)Chaiken (The density of states g(E) for a typical three-dimensional solid showing van Hove singularities indicated by black arrows. The function g(E) tends to have square-root singularities since <math>g(E) \symm \int \frac{dE}{\vec{\n)
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