Anomalous Neutron Nuclear-Magnetic Interference Spectroscopy

The electron-phonon interaction plays a critical role in materials electrical, thermal, optical, and superconducting properties. However, measuring the phonon mode-resolved electron-phonon interaction has been challenging. Here we propose neutron-scattering-based Anomalous Neutron nUclear-Magnetic Interference Spectroscopy (ANUBIS), where the co-existence of neutron nuclear scattering and magnetic scattering leads to anomalous dynamical structure factor under the presence of the electron-phonon interaction. Such anomalous structure factor is linear in electron-phonon coupling constant at the phonon wavevector, and is directly proportional to the momentum and energy-resolved dielectric function. The experimental configuration can be achieved using existing polarized inelastic neutron scattering setup, and an order-of-magnitude estimate shows the viability to observe the anomalous scattering signal is around $10^{-4}$ to $10^{-3}$ relative to phonon scattering, which is achievable at emerging neutron facilities. Our proposal offers an alternative neutron-based metrology to probe the crucial electronic properties.