Abstract
Abstract Inelastic neutron scattering experiments on the pseudo-linear metal KCP have shown that the phonons in the vicinity of the Kohn anomaly stiffen by lowering the temperature, while the spectrum develops a central resonance which diverges near the onset of 3-D ordering.1 These findings are discussed on the basis of an effective ion-Hamiltonian, which takes into account a weak dispersion of the phonons perpendicular to the metallic chains. The first few moments of the dynamic structure of factor are calculated classically, using a generalized Ginzburg-Landau theory. From the moment we deduce expressions for the intensity of the central peak and for the renormalized soft phonon frequencies as functions of wave-vectors and temperature.2
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