Kohn anomalies in momentum dependence of magnetic susceptibility of some three-dimensional systems

Abstract

We study a question of presence of Kohn points, yielding at low temperatures non-analytic momentum dependence of magnetic susceptibility near its maximum, in electronic spectum of some three-dimensional systems. In particular, we consider one-band model on face centered cubic lattice with hopping between nearest and next-nearest neighbors, which models some aspects of the dispersion of ZrZn${}_2$, and the two-band model on body centered cubic lattice, modeling the dispersion of chromium. For the former model it is shown that Kohn points yielding maxima of susceptibility exist in a certain (sufficiently wide) region of electronic concentrations; the dependence of the wave vectors, corresponding to the maxima, on the chemical potential is investigated. For the two-band model we show existence of the lines of Kohn points, yielding maximum of the susceptibility, which position agrees with the results of band structure calculations and experimental data on the wave vector of antiferromagnetism of chromium.

arXiv comment13 pages, 9 figures. JETP, in press (2017)

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Cited by in corpus (5)

• Giant van Hove Density of States Singularities and Anomalies of Electron and Magnetic Properties in Cubic Lattices
• Itinerant magnetism of chromium under pressure: a DFT+DMFT study
• Giant density-of-states van Hove singularities in the face-centered cubic lattice
• Electron Spectrum Topology and Giant Density-of-States Singularities in Cubic Lattices
• Itinerant electron metamagnetism for lattices with van Hove density-of-states singularities near the Fermi level