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Singular behavior of the density state called a van Hove singularity

  • Thread starter JordanGo
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Homework Statement



I was doing a condensed matter problem (3rd year) of a phonon dispersion relation for a monatomic linear chain. It asked told me to derive an expression for the density state per unit length and I obtained the following:
[itex] g(\omega) = \frac{L}{a\p} \frac{1}{4C/M - \omega^{2}}[/itex]

Homework Equations



The singularity occurs at
[itex]\omega = 2(\frac{C}{M})^{1/2} [/itex]


The Attempt at a Solution


Can someone explain the origin of this singularity?
 

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