Orbit topology analysed from pi phase shift of magnetic quantum oscillations in three-dimensional Dirac semimetal

With the emergence of Dirac fermion physics in the field of condensed matter, magnetic quantum oscillations (MQOs) have been used to discern the topology of orbits in Dirac materials. However, many previous researchers have relied on the single-orbit Lifshitz-Kosevich formula, which overlooks the significant effect of degenerate orbits on MQOs based on the specific symmetry. This report demonstrates how spin-degenerate orbits affect the phase in MQOs of NbSb2. With varying the direction of the magnetic field, an abrupt pi phase shift is observed due to the interference between the spin-degenerate orbits. Using the pi phase shift, we analyse the orbit topology, which occurs when the cyclotron mass is a half-integer multiple of the electron mass. This is the first work to determine the orbit topology for Dirac semimetal with spin-degenerate orbits. Our approach is not only useful to analyse MQOs of Dirac semimetals, but also provides a perspective for the MQOs in materials with strong spin-orbit coupling and degenerate orbits.