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We investigate the exchange coupling constant $J_{ij}$ in Nd$_x$Fe$_{1-x}$amorphous alloys with different compositions within the framework offirst-principles calculation. We observed a strong atomic-dependence of$J_{ij}$ and its fluctuations. We show that the composition strongly affectsthe distance dependence of $J_{ij}$. Composition dependence of calculated Curietemperatures is modest for $x<0.5$. To examine the effect of the localenvironment on the exchange couplings, we demonstrate combined analyses of thecoordination structure and exchange coupling constants using the Gabriel graph.Our study reveals that the Curie temperatures are mostly dominated by theaveraged $J_{ij}$ and coordination numbers determined by the pairs ofneighboring atoms. We also observed that the exchange couplings between Fe--Feand Fe--Nd become stronger with increasing the number of surrounding Nd atoms.

First-principles study of exchange coupling constants in Nd$_x$Fe$_{1-x}$ amorphous alloy