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

TL;DR

This paper develops a Fermi liquid theory framework to analyze electronic topological transitions and screening anomalies in metals, revealing how electron interactions modify the nature of singularities associated with Van Hove singularities.

Contribution

It provides the first microscopic derivation of the effects of Van Hove singularities on thermodynamic potential and screening anomalies within Fermi liquid theory.

Findings

Renormalization of Van Hove singularities in thermodynamic potential

Screening anomalies due to virtual transitions between VHS and Fermi level

Singularities in thermodynamic potential are two-sided for interacting electrons

Abstract

General expressions for the contributions of the Van Hove singularity (VHS)in the electron density of states to the thermodynamic potential $\Omega are obtained in the framework of microscopic Fermi liquid theory. The renormalization of the singularities in $\Omega connected 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 $\Omega turns out to be two-sided for interacting electrons.