Analysis of Dirac and Weyl points in topological semimetals via oscillation effects

TL;DR

This paper derives formulas to analyze Fermi-surface pockets in Dirac and Weyl semimetals, enabling extraction of electronic parameters from experimental data, exemplified by W1 electrons in TaAs.

Contribution

It provides a general theoretical framework for calculating extremal cross-sectional areas and cyclotron masses near Weyl and Dirac points in topological semimetals.

Findings

Formulas for extremal cross-sectional areas derived

Cyclotron masses near Weyl and Dirac points calculated

Application demonstrated on W1 electrons in TaAs

Abstract

We calculate the extremal cross sectional areas and cyclotron masses for the Fermi-surface pockets in Dirac and Weyl topological semimetals. The calculation is carried out for the most general form of the electron energy bands in the vicinity of the Weyl and Dirac points. Using the obtained formulas, one can find parameters characterizing the Dirac and Weyl electrons in the topological semimetals from appropriate experimental data. As an example, we consider the W1 electrons in TaAs.