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

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.

8 pages RevTeX, with minor corrections (Introduction and Conclusions are rewritten, new references are added), to appear in Physical review B