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At zero temperature magnetic phases of the quantum spin-1/2 Heisenbergantiferromagnet on a simple cubic lattice with competing first and secondneighbor exchanges (J1 and J2) is investigated using the non-linear spin wavetheory. We find existence of two phases: a two sublattice Neel phase for smallJ2 (AF), and a collinear antiferromagnetic phase at large J2 (CAF). We obtainthe sublattice magnetizations and ground state energies for the two phases andfind that there exists a first order phase transition from the AF-phase to theCAF-phase at the critical transition point, pc = 0.28. Our results for thevalue of pc are in excellent agreement with results from Monte-Carlosimulations and variational spin wave theory. We also show that the quartic 1/Scorrections due spin-wave interactions enhance the sublattice magnetization inboth the phases which causes the intermediate paramagnetic phase predicted fromlinear spin wave theory to disappear.

Zero temperature phases of the frustrated J1-J2 antiferromagnetic spin-1/2 Heisenberg model on a simple cubic lattice