Reconstructions of the electron dynamics in magnetic field and the geometry of complex Fermi surfaces

TL;DR

This paper investigates the semiclassical electron dynamics on complex Fermi surfaces under strong magnetic fields, revealing topological reconstructions and proposing a method to refine dispersion parameters in metals.

Contribution

It introduces a new topological analysis of electron trajectories and a simple method for refining dispersion relations in complex Fermi surface metals.

Findings

Identification of closed extremal trajectories related to Fermi surface topology

A proposed method for refining dispersion parameters

Insights into the topological structure of electron dynamics

Abstract

The paper considers the semiclassical dynamics of electrons on complex Fermi surfaces in the presence of strong magnetic fields. The reconstructions of the general topological structure of such dynamics are accompanied by the appearance of closed extremal trajectories of a special form, closely related to geometry and topology of the Fermi surface. The study of oscillation phenomena on such trajectories allows, in particular, to propose a relatively simple method for refining the parameters of the dispersion relation in metals with complex Fermi surfaces.