Fig. 3. Quantum oscillation study in the spin-polarized state of EuAs₃ and Hall resistivity measurements.

a Magnetoresistance measurements of EuAs₃ single crystal under higher magnetic field up to 28.3 T. b FFT results at various temperatures, yielding the four bands ξ, α′, ε, and η. The inset displays the oscillatory component ρ_xx above B_M. c Landau index n plotted against 1/B for the SdH oscillations at 1.8 K. The left inset shows the extrapolation of 1/B to zero. The right inset shows the normalized FFT amplitude (Amp._nor) as a function of temperature, and the solid lines represent the Lifshitz–Kosevich formula fit. d SdH oscillations at different angles; the inset is a schematic illustration of the experimental geometry and the angle θ. For θ = 0°, the magnetic field is parallel to the c axis. For θ = 90°, the magnetic field is applied along the [110] direction. e The oscillatory component ρ_xx as a function of 1/B. Angular dependence of f the FFT frequencies, where error bars represent the full widths at half maximum of the FFT peaks, and g the Landau level index intercepts. The error bar of the intercepts is determined from fitting. h Hall resistivity at various temperatures. i Carrier concentration and mobility as a function of temperature, and error bar is determined from fitting. The shadow area represents the temperature interval where a Lifshitz transition takes place.