Magnetoelastic coupling and Gr\"uneisen scaling in NdB4
Abstract
We report high-resolution capacitance dilatometry studies on the uniaxial length changes in a NdB4 single crystal. The evolution of magnetically ordered phases below T N= 17.2~K (commensurate antiferromagnetic phase, cAFM), T IT= 6.8~K (intermediate incommensurate phase, IT), and T LT= 4.8~K (low-temperature phase, LT) is associated with pronounced anomalies in the thermal expansion coefficients. The data imply significant magneto-elastic coupling and evidence of a structural phase transition at T LT . While both cAFM and LT favor structural anisotropy δ between in-plane and out-of-plane length changes, it competes with the IT-type of order, i.e., δ is suppressed in that phase. Notably, finite anisotropy well above T N indicates short-range correlations which are, however, of neither cAFM, IT, nor LT-type. Gr\"uneisen analysis of the ratio of thermal expansion coefficient and specific heat enables the derivation of uniaxial as well as hydrostatic pressure dependencies. While α/c p evidences a single dominant energy scale in LT, our data imply precursory fluctuations of a competing phase in IT and cAFM, respectively. Our results suggest the presence of orbital degrees of freedom competing with cAFM and successive evolution of a magnetically and orbitally ordered ground state.