Spin-Wave Analysis of the Spin-1 Two-Dimensional Frustrated Heisenberg Antiferromagnet with the Single-Ion Anisotropy

In this paper, the low-temperature properties of the spin-1 two-dimensional frustrated Heisenberg antiferromagnet with the single-ion anisotropy are investigated on a square lattice by using the spin-wave theory. The influence of the frustration and anisotropy is found in the thermodynamics of the model, such as the temperature dependence of the staggered magnetization and specific heat. For some selected values of the frustration and anisotropy parameters, the results for the specific heat are compared with those of existing theories and numerical estimates. Within a spin-wave analysis, we have found the evidence for an intermediate magnetically disorder phase to separate the Neel and collinear phases.