Efficient NMR measurement and data analysis supported by the Bayesian inference: The case of the heavy fermion...

We propose a data-driven technique to infer microscopic physical quantities from nuclear magnetic resonance (NMR) spectra, in which the data size and quality required for the Bayesian inference are investigated. The ⁵⁹Co-NMR measurement of YbCo₂Zn₂₀ single crystal generates complex spectra with 28 peaks. By exploiting the site symmetry in the crystal structure, the isotropic Knight shift K_iso and nuclear quadrupole resonance (NQR) frequency ν_Q were respectively estimated to be K_iso=0.7822±0.0090% and ν_Q=2.008±0.016 MHz (T=20 K and H≃10.2 T) by analyzing only 30 data points from one spectrum. The estimated ν_Q is consistent with the precise value obtained in the NQR experiment. Our method can significantly reduce the measurement time and the computational cost of data analysis in NMR experiments.