Journal of Statistical Physics

, Volume 139, Issue 4, pp 714-726

First online:

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

  • Kingshuk MajumdarAffiliated withDepartment of Physics, Grand Valley State University Email author 
  • , Trinanjan DattaAffiliated withDepartment of Chemistry and Physics, Augusta State University

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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 (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.


Magnetism Frustrated magnetic spin systems Quantum phase transition Heisenberg spin systems