Fig. 4

Quantum oscillations, fast Fourier transform (FFT), effective mass, and angular dependent oscillation frequencies of MoP for the crystal V1. a de-Haas van-Alphen (dHvA) oscillations from magnetic torque measurements, when \({\mathbf{B}}||{\hat{\mathbf{x}}}\), at various temperatures. b Oscillatory components after subtracting a third order polynomial from the data. Beating patterns (marked by arrows) are clearly visible that have a frequency of 45 T, i.e., the difference in frequencies between α₂ and α₃. c FFTs from 10–35 T showing different frequencies corresponding to the different pockets involved in the quantum oscillations. d Temperature dependence of dHvA amplitudes from FFTs and LK fits giving the effective masses corresponding to different frequencies, α₃, ε₁, and η. e Magnetic torque signal (θ = 75^o) showing very dense dHvA oscillations: these are visible only when \({\mathbf{B}}\) is nearly along \({\hat{\mathbf{z}}}\) (left panel). The corresponding FFT exhibits a single frequency of 14.6 kT (right panel). f Angular dependent frequencies when \({\mathbf{B}}\) is rotated from \({\hat{\mathbf{x}}}\) (θ = 0^o) to \({\hat{\mathbf{z}}}\) (θ = 90^o) where the symbols and dotted lines are experimental and calculated values, respectively. The solid line (orange color) depicts a 1/cosθ behavior. The inset shows the rotation geometry of \({\mathbf{B}}\) with respect to the \({\hat{\mathbf{x}}}\) and \({\hat{\mathbf{z}}}\) directions