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First-principle calculations were performed within the framework of thedensity functional theory (DFT) using FP-LAPW method as implemented in WIEN2kcode to determine the structural stability, electronic and magnetic propertiesof Rh$_2$CrGe$_{1-x}$Al$_x $($x = 0$, $0.25$, $0.50$, $0.75$ and $1$). Theresults showed that for Rh$_2$CrAl and Rh$_2$CrGe, the Cu$_2$MnAl-typestructure is energetically more stable than Hg$_2$CuTi-type structure at theequilibrium volume. The calculated densities of states for Rh$_2$CrAl andRh$_2$CrGe show half-metallic and nearly half-metallic behavior, respectively.Rh$_2$CrGe$_{1-x}$Al$_x$ ($x = 0.25$, $0.50$, $0.75$) these alloys show ahalf-metallic character, and these compounds are predicted to be goodcandidates for spintronic applications.

condensed matter physics

Theoretical study of phase stability, electronic and magnetic properties  of Rh$_2$CrGe$_{1-x}$Al$_x$ ($x = 0$, $0.25$, $0.50$, $0.75$ and $1$) Heusler  alloys by FP-LAPW method