We explore two possible ways to enhance the critical temperature Tcβ in the
dilute magnetic semiconductor Mn0.08βGa0.92βAs. Within the context of
the double-exchange and RKKY pictures, the ternary alloys
MnxβCr0.08βxβGa0.92βAs and Mn0.08βGa0.92βAsyβP1βyβ
might be expected to have Tcβ higher than the pseudobinary
Mn0.08βGa0.92βAs. To test whether the expectations from model pictures
are confirmed, we employ linear response theory within the local-density
approximation to search for theoretically higher critical temperatures in these
ternary alloys. Our results show that neither co-doping Mn with Cr, nor
alloying As with P improves Tcβ. Alloying with Cr is found to be deleterious
to the Tcβ. Mn0.08βGa0.92βAsyβP1βyβ shows almost linear
dependence of Tcβ on y.Comment: 10 pages, 5 figure