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Abstract CaFeAsF is an iron-based superconductor parent compound whose Fermi surface is quasi-two dimensional, composed of Dirac-electron and Schrödinger-hole cylinders elongated along the
c axis. We measured the longitudinal and Hall resistivities in CaFeAsF with the electrical current in thea b plane in magnetic fields up to 45 T applied along thec axis and obtained the corresponding conductivities via tensor inversion. We found that both the longitudinal and Hall conductivities approached zero above ~40 T as the temperature was lowered to 0.4 K. Our analysis indicates that the Landau-level filling factor isν = 2 for both electrons and holes at these high field strengths, resulting in a total filling factorν =ν hole −ν electron = 0. We therefore argue that theν = 0 quantum Hall state emerges under these conditions.
