Topological and trivial magnetic oscillations in nodal loop semimetals

TL;DR

This paper demonstrates that nodal loop semimetals exhibit coexisting topological and trivial magnetic oscillations, which can be tuned and potentially observed experimentally, revealing complex underlying electronic structures.

Contribution

It introduces a theoretical framework linking topological properties of Fermi surface cross sections to magnetic oscillations in nodal loop semimetals, highlighting a tunable transition between different oscillation regimes.

Findings

Coexistence of topological and trivial magnetic oscillations identified.

A sharp transition between purely trivial and mixed oscillation phases.

Potential for experimental detection of these oscillations in current setups.

Abstract

Nodal loop semimetals are close descendants of Weyl semimetals and possess a topologically dressed band structure. We argue by combining the conventional theory of magnetic oscillation with topological arguments that nodal loop semimetals host coexisting topological and trivial magnetic oscillations. These originate from mapping the topological properties of the extremal Fermi surface cross sections onto the physics of two dimensional semi Dirac systems, stemming from merging two massless Dirac cones. By tuning the chemical potential and the direction of magnetic field, a sharp transition is identified separating purely trivial oscillations, arising from the Landau levels of a normal two dimensional (2D) electron gas, to a phase where oscillations of topological and trivial origin coexist, originating from 2D massless Dirac and semi Dirac points, respectively. These could in principle be directly identified in current experiments.