Spin-wave theory for anisotropic Heisenberg antiferromagnets

The anisotropic Heisenberg antiferromagnet (AF), which is defined as a three-dimensional simple-cubic lattice with in-plane antiferromagnetic interaction J? and interplane coupling J=γJ? and is believed to describe the magnetic properties of the cupric oxide materials, is studied using low-temperature spin-wave theory. The dependence of the T=0 staggered magnetization, ground-state energy, transverse susceptibility, spin-wave velocity, and the Neel temperature TN on the anisotropy parameter γ (0≤γ≤1) are obtained. These results are found to be in satisfactory agreement with existing experiments on cupric oxide materials. The apparent difference between the muon-spin resonance and neutron-scattering results for the ordered moment in the AF state is well explained.