Spin induced exchange bias and lattice modulation in Nd1-xEuxCrO3.

We report the evolution of coupled phonons and exchange Bias (EB) in perovskite-type Nd1-xEuxCrO3(x = 0.0, 0.05, and 0.10) samples by means of temperature-dependent Raman spectroscopy and dc magnetization measurements. We observed a non-monotonic behavior of theEBfield around the temperatureT*, which lies between the antiferromagnetic ordering temperature (TN) and spin-reorientation transition temperature (TSR). The temperature dependence of phonon modes related to antistretching and bending of CrO6octahedra and Nd3+/ Eu3+ion vibration belowTNconfirms the strong spin-phonon coupling. TheT*found from the non-monotonicity of theEBis imprinted with the additional anomaly observed in the low-temperature spin-phonon behavior. The phonon modes and phonon anomaly are also verified using the density functional theory-based calculations.