Phase diagram of spin-$\frac 12$ quantum Heisenberg $J_1-J_2$ antiferromagnet on the body-centered-cubic lattice in random phase approximation

Magnetic properties of spin $\frac 12$ $J_1-J_2$ Heisenberg antiferromagnet on body centered cubic lattice are investigated. By using two-time temperature Green's functions, sublattice magnetization and critical temperature depending on the frustration ratio $p=J_2/J_1$ are obtained in both stripe and N\'eel phase. The analysis of ground state sublattice magnetization and phase diagram indicates the critical end point at $J_2/J_1 =0.714$, in agreement with previous studies.