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Singular behavior of the density state called a van Hove singularity

  1. Mar 1, 2013 #1
    1. The problem statement, all variables and given/known data

    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]

    2. Relevant equations

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

    3. The attempt at a solution
    Can someone explain the origin of this singularity?
  2. jcsd
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