Fig. 3: Angular dependence of Landau level indices and the insulator–metal transition in YbB₁₂.

Second derivatives of a contactless resistance and b magnetoresistance as functions of the inverse field for fields applied in the [100]−[011] plane (0^∘ corresponds to [100]). Data are vertically offset in proportion to the angle from [100]. Maxima and minima of oscillations are denoted by symbols and lines are included as guides for the eye. Second derivatives were used to avoid artifacts stemming from background subtraction, and average positions were tracked in cases of split oscillations; see Supplementary Note 9 for details. c Tracking the angular evolution of individual Landau level indices (different symbols) in the metallic (orange) and insulating (red) states and d referencing each to its value when H ∥ [100] demonstrates their angular dependence matches that of the insulator–metal transition (blue). All measurements were at ≈650 mK.