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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 Néel 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.

preprint2013arXivOpen access

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