Quantum oscillation and Landau–Zener transition in untilted nodal line semimetals under a time-periodic magnetic field

Nodal line semimetals (NLSM) exhibit interesting quantum oscillation (QO) characteristics when acted upon by a strong magnetic field. We study the combined effect of strong direct and alternating magnetic field, perpendicular to the nodal plane in an untilted NLSM in order to probe the behavior of the low lying Landau level states that can periodically become gapless for suitably chosen field parameters. The oscillatory field variation, as opposed to a steady one, has interesting impact on the QO phenomena with the Landau tubes crossing the Fermi surface extremally two times per cycle. Furthermore, the low energy modes can witness Landau–Zener like transitions between valence and conduction band providing further routes to conduction. We discuss such transition phenomena following the framework of adiabatic-impulse approximation for slow quenches. Next we also investigate the effect of oscillating magnetic field acting parallel to the nodal loop where topologically nontrivial magnetic oscillations at low energies can be witnessed. Therefore, with proper parameters chosen, one can engineer topological transitions to occur periodically in such systems as the oscillating field is swept through its cycles. (paper)