Topological frequency shift of quantum oscillation in CaFeAsF

Guo, Alexandradinata, et al. have recently proposed that quantum-oscillation frequencies from Dirac/Weyl fermions exhibit a negative shift proportional to T-2 because of the energy dependence of the effective mass peculiar to a linear band-dispersion. We have measured Shubnikov-de Haas oscillation in CaFeAsF up to T = 9 K. The frequency of the alpha Dirac electron exhibits a negative shift with increasing T, while that of the beta Schrodinger hole does not. For T > 5 K where beta is negligible, the alpha-frequency shift is proportional to T-2 and its rate agrees with the theoretical prediction within experimental accuracy. At lower temperatures, the shifts of alpha and beta deviate from theoretical expectations, which we ascribe to the inaccuracy in the frequency determination due to unfavorable interference between frequencies. Our results confirm that the topological frequency shift can be utilized to identify Dirac/Weyl fermions when quantum-oscillation frequencies can be determined accurately.

Automated summary

This study reports the phenomenon that the quantum-oscillation frequencies exhibit a negative shift, which can be utilized to identify Dirac/Weyl fermions, but there is a deviation between experimental results and theoretical predictions at lower temperatures.