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Fermi liquid theory of electronic topological transitions and screening anomalies in metals

M. I. Katsnelson·A. V. Trefilov
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Abstract

General expressions for the contributions of the Van Hove singularity (VHS)in the electron density of states to the thermodynamic potential $Ωare obtained in the framework of microscopic Fermi liquid theory. The renormalization of the singularities in $Ωconnected with the Lifshitz electronic topological transition (ETT) is found. Screening anomalies due to virtual transitions between VHS and the Fermi level are considered. It is shown that, in contrast with the one-particle picture of ETT, the singularities in $Ωturns out to be two-sided for interacting electrons.

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M. I. Katsnelson, A. V. Trefilov. 1999-09-27. Fermi liquid theory of electronic topological transitions and screening anomalies in metals. https://doi.org/10.1103/physrevb.61.1643

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