Quantum oscillations in nodal line systems

Nodal line systems are a new class of three-dimensional topological semimetals of great current interest. They are characterized by energy-band touching that forms a closed loop in momentum space and exhibits a topological π Berry phase in loops linking the nodal line. The authors study their associated magnetic quantum oscillation signatures for Fermi surfaces of various geometries. Landau levels of extremal orbits and their associated Berry phase are computed. They can serve as basic topological signatures in magnetic transport measurement of nodal line systems.