  Magnetic semiconductors are at the core of recent spintronics research
endeavors. Chemically doped II-VI diluted magnetic semiconductors, such as
(Zn$_{1-x}$Cr$_{x}$)Te, provide promising platform in this quest. However, a
detailed knowledge of the microscopic nature of magnetic ground state is
necessary for any practical application. Here, we report on the synergistic
study of (Zn$_{1-x}$Cr$_{x}$)Te single crystals using elastic neutron
scattering measurements and density functional calculations. For the first
time, our research unveils the intrinsic properties of ferromagnetic state in
macroscopic specimen of (Zn$_{0.8}$Cr$_{0.2}$)Te. The ferromagnetism is onset
at $T_c \sim$ 290 K and remains somewhat independent to modest change in the
substitution coefficient x. We show that magnetic moments on Zn/Cr site develop
ferromagnetic correlation in a-c plane with large ordered moment of $\mu$ =
3.08 $\mu_B$. Magnetic moment across the lattice is induced via the mediation
of Te site, uncoupled to the number of dopant carriers as inferred from the
density functional calculation. Additionally, the ab-initio calculations also
reveal half-metallicity in x = 0.2 composition. These properties are highly
desirable for future spintronic applications.
