Correlation of structural and magnetic properties of RFeO$_3$ (R= Dy, Lu)

In orthoferrites the rare-earth (R) ion has a big impact on structural and magnetic properties; in particular, the ionic size influences the octahedral tilt and the R$^{3+}$-Fe$^{3+}$ interaction modifies properties like the spin reorientation. Growth-induced strain in thin films is another means to modify materials properties since the
sign of strain affects the bond length and therefore directly the orbital interaction. Our study focuses on epitaxially grown (010)-oriented DyFeO$_{3}$and LuFeO$_{3}$thin films, thereby investigating the impact of compressive lattice strain on the magnetically active Dy$^{3+}$ and magnetically inactive Lu$^{3+}$ compared to uniaxially strained
single-crystal DyFeO$^{3+}$ . The DyFeO$_{3}$ films exhibits a shift of more than 20 K in spin-reorientation temperatures, maintain the antiferromagnetic $\Gamma$$_4$ phase of the Fe lattice below the spin reorientation, and show double-step hysteresis loops for both in-plane directions between 5 and 390 K. This is the signature of an Fe-spin-induced ferromagnetic Dy$^{3+}$ lattice above the Néel temperature of the Dy. The observed shift in the film spin reorientation temperatures vs lattice strain is in good agreement with isostatic single-crystal neutron diffraction experiments with a rate of 2 K/kbar.