Kohn anomaly we suppose that the inter planar force constant C between planes sands + p is
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Kohn anomaly we suppose that the inter planar force constant C between planes sands + p is of the form Cp = A sin pk0a/pa, where A and k( are constants and p runs over all integers. Such a form is expected in metals. Use this and Eq. (16a) to find an expression for w2 and also for ∂w2/∂K. Prove that ∂w2/∂K is infinite when K = k0. Thus a plot of w2 versus K or of w versus K has a vertical tangent at k0: there is a kink at k0 in the phonon dispersion relation w(K
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