Fig. 1: Introduction of LiCuVO4.

a A fraction of the crystal structure of LiCuVO4 (data from ref. 23), the ordered magnetic moments of Cu in the multiferroic phase are indicated. b A sketch of the temperature (T) vs magnetic field (μ0H) phase diagram. The pre-factor of H is the vacuum permeability μ0 = 4π ⋅ 10−7 Vs(Am)−1. c–e The temperature-dependent thermal expansion coefficients αi for all three crystallographic axes change sign once the external magnetic field crosses the critical magnetic field μ0Hc ≃ 7.4 T, and f an analogous sign change occurs in the magnetic field-dependent measurements of the magnetic Grüneisen parameter ΓH = 1/T ∂T/∂(μ0H).