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Zero Temperature Phases of the Frustrated J 1–J 2 Antiferromagnetic Spin-1/2 Heisenberg Model on a Simple Cubic Lattice

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Abstract

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 (J 1 and J 2) is investigated using the non-linear spin wave theory. We find existence of two phases: a two sublattice Néel phase for small J 2 (AF), and a collinear antiferromagnetic phase at large J 2 (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, p c =0.56 or J 2/J 1=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.

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Authors and Affiliations

  1. Department of Physics, Grand Valley State University, Allendale, MI, 49401, USA

    Kingshuk Majumdar

  2. Department of Chemistry and Physics, Augusta State University, Augusta, GA, 30904, USA

    Trinanjan Datta

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  1. Kingshuk Majumdar
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  2. Trinanjan Datta
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Correspondence to Kingshuk Majumdar.

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Majumdar, K., Datta, T. Zero Temperature Phases of the Frustrated J 1–J 2 Antiferromagnetic Spin-1/2 Heisenberg Model on a Simple Cubic Lattice. J Stat Phys 139, 714–726 (2010). https://doi.org/10.1007/s10955-010-9967-y

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  • DOI: https://doi.org/10.1007/s10955-010-9967-y

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