Figure 3
From: Field Angle Tuned Metamagnetism and Lifschitz Transitions in UPt3

The left part of the figure shows the quantum oscillations in the sound velocity, for B ∥q∥ c-axis at T = 35 mK, 100 mK and 200 mK. To highlight these oscillations we have subtracted a quadratic and a linear background as discussed in Supplementary Information (Fig. S2). An abrupt increase in the magnitude of the dominant oscillation as well as its period decrease commencing at 24.8 T can be clearly seen. In addition, it may be noted that the sharpness of this transition, as indicated by arrows, increases as T → 0 thus establishing it as a possible quantum phase transition. These facts are further apparent in the Fourier transformation of the lowest temperature data in the three field regions 10–24.8 T, 24.8–30 T and 30–33 T shown in the right panel. Analyzing the rapid decrease in the amplitude of the dominant oscillation (≈450 T) with warming yields an effective mass, m* = 32 me. A clear shift in the frequencies between the adjacent field regions suggests both the transitions at 24.8 T and 30 T are Lifshitz Transitions.