Zero Temperature Phases of the Frustrated J1–J2 Antiferromagnetic Spin-1/2 Heisenberg Model on a Simple Cubic Lattice
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- Majumdar, K. & Datta, T. J Stat Phys (2010) 139: 714. doi:10.1007/s10955-010-9967-y
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At zero temperature magnetic phases of the quantum spin-1/2 Heisenberg antiferromagnet on a simple cubic lattice with competing first and second neighbor exchanges (J1 and J2) is investigated using the non-linear spin wave theory. We find existence of two phases: a two sublattice Néel phase for small J2 (AF), and a collinear antiferromagnetic phase at large J2 (CAF). We obtain the sublattice magnetizations and ground state energies for the two phases and find that there exists a first order phase transition from the AF-phase to the CAF-phase at the critical transition point, pc=0.56 or J2/J1=0.28. We also show that the quartic 1/S corrections due spin-wave interactions enhance the sublattice magnetization in both the phases which causes the intermediate paramagnetic phase predicted from linear spin wave theory to disappear.