Fig. 2: Field dependent physical properties at ~2 K with B // c-axis.

a Field-dependent magnetostriction along the c-axis (L0 = 0.36 mm). Inset of (a) displays the oscillatory part with the background subtracted. b Field-dependent magnetization. d Field-dependent resistivity. e Field-dependent thermopower. Inset of (e) shows ultra-high-frequency oscillations in the field range above 12 T. c Real part of the ac voltage signal induced by in-plane deformation of the sample, which is adhered to PMN-PT. The deformation is stimulated by a sinusoidal magnetic field Bac (left panel of inset of (c)). Right panel of inset of (c) shows ultra-high frequency oscillations in the field range above 12 T.