This report presents a new technique to probe the quantitative dynamical response of the magnetic field induced heating/cooling process in rare-earth vanadium materials. The approach combines AC susceptibility and AC caloric measurements to reveal the intrinsic timescale associated with the magnetic relaxation process of rare-earth ions at low temperatures. Utilizing the well-known crystal field effect in YbVO4, we prove and demonstrate a discretized thermal analysis through a common spin-lattice relaxation phenomenon. The demonstration experiment presented in this study provides a general approach to quantitatively address multiple measured quantities in one unified discretized thermal circuit analysis. It can be extended to study other magnetic, dielectric, and elastic materials exhibiting a complex response to an external driving field in the presence of intrinsic interactions and fluctuations, particularly when an energy dissipation process is within an accessible frequency regime.
@article{arxiv.2502.16327,
title = {Realization of discretized response in rare-earth vanadates accessed by AC susceptibility and magnetocaloric methods},
author = {Yuntian Li and Linda Ye and Mark P. Zic and Arkady Shekhter and Ian R. Fisher},
journal= {arXiv preprint arXiv:2502.16327},
year = {2025}
}