Distinctive features of oscillatory phenomena in reconstructions of the topological structure of electron trajectories on complex Fermi surfaces

TL;DR

This paper analyzes how classical and quantum oscillations in metals with complex Fermi surfaces change sharply during topological reconstructions of electron trajectories, aiding experimental identification of these topological transitions.

Contribution

It provides a detailed classification of oscillation features associated with different topological reconstructions of electron trajectories on complex Fermi surfaces.

Findings

Sharp changes in oscillation patterns occur at topological transitions.

Features depend on the topological type of the reconstruction.

Guidelines for experimental identification of topological changes.

Abstract

We consider the behavior of classical and quantum oscillations in metals with complex Fermi surfaces near the directions of $\, {\bf B} \, $ corresponding to changes in the topological structure of the dynamical system describing the semiclassical motion of quasiparticles along the Fermi surface. The transitions through the boundaries of change in this structure are accompanied by sharp changes in the picture of oscillations, the form of which depends in the most essential way on the topological type of the corresponding reconstruction. We list here the main features of such changes for all topological types of elementary reconstructions and discuss the possibilities of experimental identification of such types based on these features.