Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2009-10-04
Journal of Statistical Physics, Vol 139, Number 4, 714-726 (2010)
Physics
Condensed Matter
Strongly Correlated Electrons
19 pages, 4 figures, Fig. 1b modified, Appendix B text modified
Scientific paper
10.1007/s10955-010-9967-y
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 Neel 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 = 0.28. Our results for the value of pc are in excellent agreement with results from Monte-Carlo simulations and variational spin wave theory. 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.
Datta Trinanjan
Majumdar Kingshuk
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