Magnetization of topological line-node semimetals

TL;DR

This paper derives formulas for the magnetization of topological line-node semimetals considering arbitrary line shapes, highlighting the influence of chemical potential variations on magnetic oscillations, with applications to rhombohedral graphite.

Contribution

It introduces an approximate method to calculate magnetization in line-node semimetals with arbitrary line shapes, accounting for chemical potential dependence on magnetic fields.

Findings

Magnetization formulas applicable to arbitrary line shapes.

Chemical potential significantly affects de Haas - van Alphen oscillations.

Temperature and magnetic field dependence of magnetic susceptibility in rhombohedral graphite.

Abstract

Using an approximate expression for the Landau levels of the electrons located near a nodal line of a topological line-node semimetal, we obtain formulas for the magnetization of this semimetal at an arbitrary shape of its line. It is also shown that the dependence of the chemical potential on the magnetic field can be strong in these materials, and this dependence can essentially influence the de Haas - van Alphen oscillations. The obtained results are applied to the rhombohedral graphite which is one of the line-node semimetals. For this material, we find temperature and magnetic field dependences of its magnetic susceptibility.