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The AR$_2$O$_4$ family (R = rare earth) have recently been attractinginterest as a new series of frustrated magnets, with the magnetic R atomsforming zigzag chains running along the $c$-axis. We have investigatedpolycrystalline BaNd$_2$O$_4$ with a combination of magnetization, heatcapacity, and neutron powder diffraction (NPD) measurements. Magnetic Braggpeaks are observed below $T_N$ $=$ 1.7 K, and they can be indexed with apropagation vector of $\vec{k}$ $=$ (0 1/2 1/2). The signal from magneticdiffraction is well described by long-range ordering from only one of the twotypes of Nd zigzag chains, with collinear up-up-down-down intrachain spinconfigurations. Furthermore, low temperature magnetization and heat capacitymeasurements reveal two field-induced spin transitions at 2.5 T and 4 T for $T$$=$ 0.46 K. The high field phase is paramagnetic, while the intermediate fieldstate may arise from a spin transition of the long-range ordered Nd chains,resulting in an up-up-down intrachain spin configuration. The proposedintermediate field state is consistent with the magnetic structure determinedin zero field for these chains by NPD, as both phases are predicted for theclassical Ising chain model with nearest neighbor and next nearest neighborinteractions.

Magnetic ordering in the frustrated J1-J2 Ising chain candidate BaNd2O4